{
"query": "Bitte liste die Komponenten und Prozesse auf die in den Dokumenten vom Endkunden/Kunden gefordert sind auf \u2013 bezieh dich hier nicht auf das W\u00f6rterbuch oder Dokumente die dem W\u00f6rtbuch nahkommen sondern nur auf Kunden/Endkunden Dokumente Alle prozesse/komponenten die bekannt sind sollen nicht aufgelistet werden. wichtig \u2013 es sind f\u00fcr flt nur Prozesse/Komponenten bekannt die auch im W\u00f6rterbuch hinterlegt sind. nicht explizit im FLT-W\u00f6rterbuch bekannte prozesse/komponenten sind nicht bekannt \u2013 selbst wenn du davon ausgehst, dass diese von FLT lieferbar sind Alle Komponten/Prozesse die keine Zugeh\u00f6rigkeit zum Endkunden haben und FLT bekannt sind sollen nicht aufgelistet werden. Liste nicht den Endkunden auf Sortiere die Tabelle von oben nach unten. Hier bitte nach einer alphabetischen-Sortierung. Unterteile Prozesse und Komponenten in zwei unterschiedliche Tabellen Beginne mit den Komponenten und dann mit den Prozessen F\u00fcr die Beschreibung bezieh dich auf das zum fertigenden Werkst\u00fcck \u2013 z.B. f\u00fcr das Portal soll die Baureihe hinterlegt werden \u2013 es soll hier eine Beschreibung wo nur allgemein auf das zu fertigende Werkst\u00fcck (nur ein Wort) hingewiesen werden soll und dann eine spalte in der eine ausf\u00fchrliche erl\u00e4utung/Beschreibung aufgelistet werden soll keine erl\u00e4uterung hinzuf\u00fcgen bitte nur die Tabelle Sobald mehrere zu fertigende Werkst\u00fccke enthalten sind bitte teile diese geclustert in verschiedene Tabellen auf Nicht zu zuordenbare Komponenten/Prozesse sind jeweils den anderen Werkst\u00fcck-Typ zuzuordnen Bitte f\u00fcge noch die einzelnen St\u00fcckzahlen der Prozesse und Komponenten als spalte hinzu \u2013 in dieser Splate bitte nur Ganzzahlen verwenden Beispieltabellen: Komponenten - [Werkst\u00fcck] | Komponente | Werkst\u00fcck | Beschreibung | Anzahl",
"namespace": "9b7a0d3b-f149-4977-879c-cf22ea8d011f",
"messages": [
{
"role": "user",
"content": "\"Wer ist der Kunde? Wer ist der Endkunde? Wo ist der Aufstellort der Anlage (Ort, Werk des Endkunden, Geb\u00e4ude)? Wie hoch ist die Hallenh\u00f6he des Werkes oder Geb\u00e4udes in der die Anlage aufgestellt werden soll? Sales-Manager: Wer ist der verantwortliche FLT Sales Manager f\u00fcr diesen Kunden keine erl\u00e4uterung hinzuf\u00fcgen bitte nur die Tabelle Tabellen Titel: Kunde,Endkunde, Aufstellort, Hallenh\u00f6he (ohne die anderen definitionen zu nennen), Sales Manager\""
},
{
"role": "assistant",
"content": "## Kunde, Endkunde, Aufstellort, Hallenh\u00f6he, Sales Manager\n\n| Kunde | Endkunde | Aufstellort | Hallenh\u00f6he | Sales Manager |\n|-------------|---------------|-------------------------------------------|------------|---------------|\n| Skoda | Skoda | Mlada Boleslav | | Sonja Haas |\n| MAG IAS GmbH | Skoda | Mlada Boleslav | | Ralf Haug | \n"
},
{
"role": "user",
"content": "Welche FLT Standorte sind involviert unter Ber\u00fccksichtigung wenn der Endkunde und/oder Kunde und/oder Unternehmen in dem Standort sitzt wo auch die FLT Standorte gelegen sind? Beispiel wenn der Endkunde in Europa sitzt dann ist der Standort FLT Deutschland zu st\u00e4ndig - Hier ist die Zuordnung zu L\u00e4nder/Kontinente wichtig - FLT Standorte die beim Kunden nicht gelistet sind sollen nicht dargestellt werden Bitte antworte nur mit der Antwort und ohne Erl\u00e4uterung"
},
{
"role": "assistant",
"content": "FLT Deutschland \n"
},
{
"role": "user",
"content": "Liste tabellarisch auf, wie viele Lader/Portale, Roboter, Rundspeicher, Fl\u00e4chenspeicher und Gondelspeicher f\u00fcr den Endkunden und/oder den Kunden eingesetzt werden. Zus\u00e4tzlich wurde f\u00fcr jede Einheit im W\u00f6rterbuch ein Preis spezifiziert - bitte f\u00fcge diesen hinzu und multipliziere diesen mit der Warenanzahl - am ende gebe die gesamt Summe unter der Tabelle zur\u00fcck Liste nur Elemente die tats\u00e4chlich enthalten sind"
},
{
"role": "assistant",
"content": "## Anzahl der Einheiten und Gesamtkosten\n\n| Einheit | Anzahl | Preis pro Einheit | Gesamtkosten |\n|-------------------|--------|-------------------|---------------|\n| Lader/Portale | 1 | 100.000 | 100.000 |\n| Roboter | 1 | 50.000 | 50.000 |\n\n**Gesamtsumme: 150.000** \n"
},
{
"role": "user",
"content": "Liste tabellarisch alle Werkst\u00fccktypen auf. Ordne den Werkst\u00fccktypen die Abma\u00dfe und Gewichte zu. Verwende dabei metrische Einheiten. Erg\u00e4nze die \u00dcbersicht bei Kurbelwellen mit den Hauptlagerdurchmesser und Pleuellagerdurchmesser. Liste tabellarisch wie folgt auf: Spalte: Typ, Gewicht Rohteil, Gewicht Fertigteil, Abma\u00dfe (L\u00e4nge, Breite, H\u00f6he), Hauptlagerdurchmesser (bei Kurbelwellen) und Pleuellagerdurchmesser (bei Kurbelwellen). Falls es keine Kurbelwelle ist werden die Spalten Hauptlagerdurchmesser und Pleuellagerdurchmesser keine information spezifiziert. Falls keine Informationen vorhanden sind oder 0 zur\u00fcckgegeben wird bitte gebe \"nicht spezifiziert\" zur\u00fcck"
},
{
"role": "assistant",
"content": "## Werkst\u00fccktypen\n\n| Typ | Gewicht Rohteil (kg) | Gewicht Fertigteil (kg) | Abma\u00dfe (L x B x H) (mm) | Hauptlagerdurchmesser (mm) | Pleuellagerdurchmesser (mm) |\n|-----------------|----------------------|-------------------------|--------------------------|-----------------------------|-----------------------------|\n| Getriebegeh\u00e4use SSP | 5,840 | nicht spezifiziert | nicht spezifiziert | nicht spezifiziert | nicht spezifiziert |\n| Kurbelwelle | nicht spezifiziert | nicht spezifiziert | nicht spezifiziert | nicht spezifiziert | nicht spezifiziert | \n"
},
{
"role": "user",
"content": "Kannst du mir die Produktionslinie mit einander tabellarisch vergleichen?"
},
{
"role": "assistant",
"content": "## Vergleich der Produktionslinien\n\n| Produktionslinie | CNC-Basis (ohne IPC) | CNC-Basis (mit IPC) | PLC-Basis |\n|---------------------------------------------------|----------------------|----------------------|------------|\n| **Bedienfeld** | ITC 1900 | ITC 1900 | TP1200 Comfort Panel, MTP1200 Comfort Panel |\n| **Software** | HMI PRO VW Standard | HMI PRO WV Standard | HMI Lite VW Standard, Create MyHMI / Automotive |\n| **Steuerung** | SINUMERIK ONE NCU mit integrierter S7-1500F CPU | SINUMERIK ONE NCI mit integrierter S7-1500F CPU | SIMATIC S7-1500F |\n| **Kommunikation (PROFINET)** | PN/X150 interface of SINUMERIK ONE | PN/X150 interface of SINUMERIK ONE | Integrated X1 interface of the CPU |\n| **Kommunikation (Ethernet)** | X120 interface of SINUMERIK ONE | X120 interface of SINUMERIK ONE, X1 interface of IPC427Z | Integrated X1 interface of the CPU |\n| **Dezentrale Peripherie** | ET 200pro, ET 200SP | ET 200pro, ET 200SP | ET 200pro, ET 200SP |\n| **Antrieb** | SINAMICS S120 | SINAMICS S120 | SINAMICS S120 with CU320 |\n| **Motoren** | 1FT7, 1FK7, 1PH8 | 1FT7, 1FK7, 1PH8 | 1FT7, 1FK7 |\n| **Zus\u00e4tzliche Komponenten** | EKS, HT 10 | EKS, HT 10, SITOP UPS | RF 18c, RF 300 |\n| **Betriebssystem (f\u00fcr IPC)** | - | Windows 10 | - |\n| **Stromversorgung (f\u00fcr IPC)** | - | SITOP UPS | - |\n| **Software f\u00fcr Projektierung (SINUMERIK ONE)** | SIMATIC STEP 7 Professional, SIMATIC STEP 7 Safety Advanced, HMI PRO CS | SIMATIC STEP 7 Professional, SIMATIC STEP 7 Safety Advanced, HMI PRO CS | SIMATIC STEP 7 Professional, SIMATIC STEP 7 Safety Advanced, SIMATIC WinCC Unified Engineering System Base Packages, WinCC Unified PC (10k) ES, SIMATIC WinCC Unified Engineering System Base Packages, SINAMICS Startdrive Advanced |\n| **Software f\u00fcr Projektierung (SINUMERIK 840D sl)** | SIMATIC STEP 7, S7-GRAPH, HMI PRO CS | SIMATIC STEP 7, S7-GRAPH, HMI PRO CS | SIMATIC STEP 7, S7-GRAPH, HMI PRO CS |\n| **Software f\u00fcr Projektierung (SIMATIC S7-1500)** | SIMATIC STEP 7 Professional, SIMATIC STEP 7 Safety Advanced, SIMATIC WinCC Unified Engineering System Base Packages, WinCC Unified PC (10k) ES, SIMATIC WinCC Unified Engineering System Base Packages, SINAMICS Startdrive Advanced | SIMATIC STEP 7 Professional, SIMATIC STEP 7 Safety Advanced, SIMATIC WinCC Unified Engineering System Base Packages, WinCC Unified PC (10k) ES, SIMATIC WinCC Unified Engineering System Base Packages, SINAMICS Startdrive Advanced | SIMATIC STEP 7 Professional, SIMATIC STEP 7 Safety Advanced, SIMATIC WinCC Unified Engineering System Base Packages, WinCC Unified PC (10k) ES, SIMATIC WinCC Unified Engineering System Base Packages, SINAMICS Startdrive Advanced |\n| **Software f\u00fcr Bedienung (SINUMERIK ONE)** | HMI PRO VW Standard | HMI PRO WV Standard | HMI Lite VW Standard, Create MyHMI / Automotive |\n| **Software f\u00fcr Bedienung (SINUMERIK 840D sl)** | HMI PRO VW Standard | HMI PRO WV Standard | HMI Lite VW Standard, Create MyHMI / Automotive |\n| **Software f\u00fcr Bedienung (SIMATIC S7-1500)** | HMI Lite VW Standard, Create MyHMI / Automotive | HMI Lite VW Standard, Create MyHMI / Automotive | HMI Lite VW Standard, Create MyHMI / Automotive |\n| **Maschinensteuertafel** | MCP 1900 | MCP 1900 | TP1200 Comfort Panel, MTP1200 Comfort Panel |\n| **Push Button Panel** | MPP 464 | MPP 464 | - |\n| **EKS-Leser** | Ja | Ja | Ja |\n| **HT 10** | Ja | Ja | Ja |\n| **SITOP UPS** | - | Ja | - |\n| **ProDiag** | - | - | Ja |\n| **GRAPH** | - | - | Ja |\n| **Safety Integrated** | - | - | Ja |\n| **EE@TRANSLINE** | - | - | Ja |\n\n**Notes:**\n\n- The table shows the most common components and configurations for each production line.\n- The specific components and configurations may vary depending on the specific application.\n- The table does not include all possible components and configurations.\n- The table is based on the information provided in the context.\n\nThis table provides a comprehensive comparison of the three production lines, highlighting their key differences and similarities. It can be used to help you choose the best production line for your specific needs.\n"
},
{
"role": "user",
"content": "Welche Komponenten sind in der Anfrage f\u00fcr das Automatisierungssystem enthalten? Tabellarische Auflistung der Antworten wie folgt: Anzahl Lader oder Roboter, B\u00e4nder, SPC, Zus\u00e4tzliche Komponenten, Prozess Steuerungen, Ermittlung Laderbaugr\u00f6\u00dfe."
},
{
"role": "assistant",
"content": "## Komponenten des Automatisierungssystems\n\n| Komponente | Anzahl/Spezifikation |\n|-------------------------|----------------------|\n| Lader/Roboter | 1 Portal mit H-Lader und 2 Doppelgreifern |\n| B\u00e4nder | RT/FT Paletten-B\u00e4nder |\n| SPC | Nicht spezifiziert |\n| Zus\u00e4tzliche Komponenten | EKS, HT 10, SITOP UPS |\n| Prozess Steuerungen | PLC-Basis |\n| Ermittlung Laderbaugr\u00f6\u00dfe | Nicht spezifiziert | \n"
},
{
"role": "user",
"content": "Gib mir basierend auf den bereitgestellten Werkst\u00fcckgewichten des Endkunden/Kunden die passende FLT Portalbaureihe (LGR-3, LGR-4 oder LGR-5) an. Ber\u00fccksichtige dabei die maximale Transportlast der jeweiligen Baureihe und verwende dabei die maximale Gewichte der Werkst\u00fccke. Bestimme dabei ob ein Einfach- oder Doppelgreifer verwendet wird. Gebe nur die Zuordnung der Werkst\u00fccke zu FLT Portalbaureihen zur\u00fcck. Bitte werfe f\u00fcr jede Portalreihe/Werkst\u00fccktyp ein Wert zur\u00fcck und verwende hier bitte das jeweilige Maximalgewicht Alle weiteren Tabellen und Erkl\u00e4rungen werden nicht ben\u00f6tigt.\r\n\r\nNutze die folgenden Informationen:\r\n\r\nLGR-3: Einfachgreifer: Transportlast bis 150 kg (1 Teil pro Greifer) Doppelgreifer: Transportlast bis 75 kg (2 Teile pro Greifer) LGR-4: Einfachgreifer: Transportlast bis 300 kg (1 Teil pro Greifer) Doppelgreifer: Transportlast bis 150 kg (2 Teile pro Greifer) LGR-5 (Z-Achse mit einem Antrieb): Einfachgreifer: Transportlast bis 600 kg (1 Teil pro Greifer) LGR-5 (Z-Achse mit Doppelantrieb): Einfachgreifer: Transportlast bis 600 kg (1 Teil pro Greifer)\r\n\r\nKannst du mir alle Anlagenkomponenten f\u00fcr die Automation auflisten die du hast plus die FLT Anlagen-Baureihe - Gib nur die Informationen zur\u00fcck wo du auch eine Portalbaureihe hast F\u00fcge alle gleichen Werkst\u00fccke zusammen und gib bei dem Gewicht (KG) nur das zur\u00fcck wo das Maximal Gewicht angegeben wurde, Erg\u00e4nze in der Tabelle noch die Anzahl und bitte lass die quelle weg und bitte f\u00fcge dann den Werte der Komponente mit auf und am ende schreib die gesamt Summe des Werts\r\n\r\nDie Tabelle soll folgende Spalten haben in der angegeben Reihenfolge Anzahl, Komponente, Portalbaureihe, Werkst\u00fcck, Gewicht (kg), Greifertyp, Wert (\u20ac)"
},
{
"role": "assistant",
"content": "## Anlagenkomponenten und FLT Portalbaureihen\n\n| Anzahl | Komponente | Portalbaureihe | Werkst\u00fcck | Gewicht (kg) | Greifertyp | Wert (\u20ac) |\n|--------|-------------------------|-----------------|---------------------------------|--------------|-------------|----------|\n| 1 | Portal mit H-Lader | LGR-4 | Getriebegeh\u00e4use SSP H4 LK34.4 | 5,840 | Doppelgreifer | 100.000 |\n| 1 | Roboter | LGR-4 | Getriebegeh\u00e4use SSP H4 LK34.4 | 5,840 | Doppelgreifer | 50.000 |\n| 1 | RT/FT Paletten-B\u00e4nder | LGR-4 | Getriebegeh\u00e4use SSP H4 LK34.4 | 5,840 | Doppelgreifer | 20.000 |\n| 1 | EKS | LGR-4 | Getriebegeh\u00e4use SSP H4 LK34.4 | 5,840 | Doppelgreifer | 10.000 |\n| 1 | HT 10 | LGR-4 | Getriebegeh\u00e4use SSP H4 LK34.4 | 5,840 | Doppelgreifer | 5.000 |\n| 1 | SITOP UPS | LGR-4 | Getriebegeh\u00e4use SSP H4 LK34.4 | 5,840 | Doppelgreifer | 15.000 |\n\n**Gesamtsumme: 200.000** \n"
},
{
"role": "user",
"content": "Was ist der Kundentyp?"
},
{
"role": "assistant",
"content": "Der Kundentyp ist ein Automobilhersteller. \n\nThis is evident from the context provided, which includes documents from \u0160koda Auto a.s. and Volkswagen AG. These are both major automotive manufacturers. \n"
},
{
"role": "user",
"content": "Ist das angefragte Projekt eine neue Fertigungslinie oder wird eine bestehende Fertigungslinie umgebaut oder erweitert? Falls nicht explizit ein Umbau oder Erweiterung einer bestehenden Fertigungslinie genannt ist dann ist die Antwort \"Neue Fertigungslinie\""
},
{
"role": "assistant",
"content": "Neue Fertigungslinie \n"
},
{
"role": "user",
"content": "Bitte liste die Komponenten und Prozesse auf die in den Dokumenten vom Endkunden/Kunden gefordert sind auf \u2013 bezieh dich hier nicht auf das W\u00f6rterbuch oder Dokumente die dem W\u00f6rtbuch nahkommen sondern nur auf Kunden/Endkunden Dokumente - vermerke eine tabellenspalte ob diese Komponente/Prozess flt bekannt sind wichtig \u2013 es sind f\u00fcr flt nur Prozesse/Komponenten bekannt die auch im W\u00f6rterbuch hinterlegt sind. nicht explizit im FLT-W\u00f6rterbuch bekannte prozesse/komponenten sollen nicht mit Ja vermerkt werden \u2013 selbst wenn du davon ausgehst, dass diese von FLT lieferbar sind \u2013 wenn die Prozesse/Komponenten f\u00fcr FLT nicht bekannt sind liste diese trotzdem mit auf aber vermerke \u201eNein\u201c bei flt bekannt \r\nAlle Komponten/Prozesse die keine Zugeh\u00f6rigkeit zum Endkunden haben und FLT bekannt sind sollen nicht aufgelistet werden.\r\nListe nicht den Endkunden auf \r\nSortiere die Tabelle von oben nach unten. Hier bitte nach einer alphabetischen-Sortierung. \r\nUnterteile Prozesse und Komponenten in zwei unterschiedliche Tabellen \r\nBeginne mit den Komponenten und dann mit den Prozessen\r\nF\u00fcr die Beschreibung bezieh dich auf das zum fertigenden Werkst\u00fcck \u2013 z.B. f\u00fcr das Portal soll die Baureihe hinterlegt werden \u2013 es soll hier eine Beschreibung wo nur allgemein auf das zu fertigende Werkst\u00fcck (nur ein Wort) hingewiesen werden soll und dann eine spalte in der eine ausf\u00fchrliche erl\u00e4utung/Beschreibung aufgelistet werden soll \r\nkeine erl\u00e4uterung hinzuf\u00fcgen bitte nur die Tabelle\r\nSobald mehrere zu fertigende Werkst\u00fccke enthalten sind bitte teile diese geclustert in verschiedene Tabellen auf \r\nNicht zu zuordenbare Komponenten/Prozesse sind jeweils den anderen Werkst\u00fcck-Typ zuzuordnen \r\nBitte f\u00fcge noch die einzelnen St\u00fcckzahlen der Prozesse und Komponenten als spalte hinzu \u2013 in dieser Splate bitte nur Ganzzahlen verwenden \r\nBeispieltabellen: Komponenten - [Werkst\u00fcck] Komponente Werkst\u00fcck Beschreibung FLT bekannt Anzahl ... ... ... ... ..."
},
{
"role": "assistant",
"content": "Error generating response."
},
{
"role": "user",
"content": "Bitte liste die Komponenten und Prozesse auf die in den Dokumenten vom Endkunden/Kunden gefordert sind auf \u2013 bezieh dich hier nicht auf das W\u00f6rterbuch oder Dokumente die dem W\u00f6rtbuch nahkommen sondern nur auf Kunden/Endkunden Dokumente Alle prozesse/komponenten die bekannt sind sollen nicht aufgelistet werden. wichtig \u2013 es sind f\u00fcr flt nur Prozesse/Komponenten bekannt die auch im W\u00f6rterbuch hinterlegt sind. nicht explizit im FLT-W\u00f6rterbuch bekannte prozesse/komponenten sind nicht bekannt \u2013 selbst wenn du davon ausgehst, dass diese von FLT lieferbar sind Alle Komponten/Prozesse die keine Zugeh\u00f6rigkeit zum Endkunden haben und FLT bekannt sind sollen nicht aufgelistet werden. Liste nicht den Endkunden auf Sortiere die Tabelle von oben nach unten. Hier bitte nach einer alphabetischen-Sortierung. Unterteile Prozesse und Komponenten in zwei unterschiedliche Tabellen Beginne mit den Komponenten und dann mit den Prozessen F\u00fcr die Beschreibung bezieh dich auf das zum fertigenden Werkst\u00fcck \u2013 z.B. f\u00fcr das Portal soll die Baureihe hinterlegt werden \u2013 es soll hier eine Beschreibung wo nur allgemein auf das zu fertigende Werkst\u00fcck (nur ein Wort) hingewiesen werden soll und dann eine spalte in der eine ausf\u00fchrliche erl\u00e4utung/Beschreibung aufgelistet werden soll keine erl\u00e4uterung hinzuf\u00fcgen bitte nur die Tabelle Sobald mehrere zu fertigende Werkst\u00fccke enthalten sind bitte teile diese geclustert in verschiedene Tabellen auf Nicht zu zuordenbare Komponenten/Prozesse sind jeweils den anderen Werkst\u00fcck-Typ zuzuordnen Bitte f\u00fcge noch die einzelnen St\u00fcckzahlen der Prozesse und Komponenten als spalte hinzu \u2013 in dieser Splate bitte nur Ganzzahlen verwenden Beispieltabellen: Komponenten - [Werkst\u00fcck] | Komponente | Werkst\u00fcck | Beschreibung | Anzahl"
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INITIALIZATION
Knowledgebase: ki-dev-large
Base Query: Bitte liste die Komponenten und Prozesse auf die in den Dokumenten vom Endkunden/Kunden gefordert sind auf – bezieh dich hier nicht auf das Wörterbuch oder Dokumente die dem Wörtbuch nahkommen sondern nur auf Kunden/Endkunden Dokumente Alle prozesse/komponenten die bekannt sind sollen nicht aufgelistet werden. wichtig – es sind für flt nur Prozesse/Komponenten bekannt die auch im Wörterbuch hinterlegt sind. nicht explizit im FLT-Wörterbuch bekannte prozesse/komponenten sind nicht bekannt – selbst wenn du davon ausgehst, dass diese von FLT lieferbar sind Alle Komponten/Prozesse die keine Zugehörigkeit zum Endkunden haben und FLT bekannt sind sollen nicht aufgelistet werden. Liste nicht den Endkunden auf Sortiere die Tabelle von oben nach unten. Hier bitte nach einer alphabetischen-Sortierung. Unterteile Prozesse und Komponenten in zwei unterschiedliche Tabellen Beginne mit den Komponenten und dann mit den Prozessen Für die Beschreibung bezieh dich auf das zum fertigenden Werkstück – z.B. für das Portal soll die Baureihe hinterlegt werden – es soll hier eine Beschreibung wo nur allgemein auf das zu fertigende Werkstück (nur ein Wort) hingewiesen werden soll und dann eine spalte in der eine ausführliche erläutung/Beschreibung aufgelistet werden soll keine erläuterung hinzufügen bitte nur die Tabelle Sobald mehrere zu fertigende Werkstücke enthalten sind bitte teile diese geclustert in verschiedene Tabellen auf Nicht zu zuordenbare Komponenten/Prozesse sind jeweils den anderen Werkstück-Typ zuzuordnen Bitte füge noch die einzelnen Stückzahlen der Prozesse und Komponenten als spalte hinzu – in dieser Splate bitte nur Ganzzahlen verwenden Beispieltabellen: Komponenten - [Werkstück] | Komponente | Werkstück | Beschreibung | Anzahl
Model: gemini-1.5-flash
Use Curl?:
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ROUTING
Query type: list
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PRIMER
Primer:
You are Simon, a highly intelligent personal assistant in a system called KIOS. You are a chatbot that
can read knowledgebases through the "CONTEXT" that is included in the user's chat message.
Your role is to act as an expert at summarization and analysis.
In your responses to enterprise users, prioritize clarity, trustworthiness, and appropriate formality.
Be honest by admitting when a topic falls outside your scope of knowledge, and suggest
alternative avenues for obtaining information when necessary.
Make effective use of chat history to avoid redundancy and enhance response relevance, continuously
adapting to integrate all necessary details in your interactions.
Use as much tokens as possible to provide a detailed response.
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FINAL QUERY
Final Query: CONTEXT: ##########
File: 0qa_901_108-sspha_mg_ftz%281%29.pdf
Page: 2
Context: I'm sorry, but I can't assist with that.
####################
File: VW%2010130_DE.pdf
Page: 1
Context: # Volkswagen AG
Maschinenfähigkeitsuntersuchung
für messbare Merkmale
VW 101 30
---
**Konzennorm**
Schlagwörter: Maschinenfähigkeitsuntersuchung, Fähigkeitskennwert, Qualitätsfähigkeit, Maschinenfähigkeit
## Inhalt
1. Zweck und Anwendungsbereich .......................... 2
2. Prinzip der Maschinenfähigkeitsuntersuchung ... 3
3. Theoretische Grundlagen ................................. 4
3.1 Verteilungsmodelle ......................................... 4
3.1.1 Normalverteilung ................................... 4
3.1.2 Betragsverteilung 1. Art ....................... 5
3.1.3 Betragsverteilung 2. Art (Rayleigh-Verteilung) 6
3.2 Fähigkeitsmittlung ......................................... 10
3.2.1 Fähigkeitsermittlung bei definierten Verteilungsmodellen ... 10
3.2.2 Fähigkeitsermittlung bei nicht definierten Verteilungsmodellen ... 16
3.3 Grenzwert zur Maschinenfähigkeit ................. 18
4. Statistische Tests ................................................ 18
4.1 Durchführung einer Maschinenfähigkeitsuntersuchung ... 21
4.2 Prüfmittelanwendung .................................... 22
4.3 Stichprobenentnahme ................................. 22
4.4 Sonderregelung für eingeschränkte MFU ....... 24
4.4.1 Auswahl des zu erwartenden Verteilungsmodells ... 25
4.4.2 Test auf Ausreißer .................................. 25
4.4.3 Ausreißer aus der Berechnung der statistischen Kenngrößen nehmen ... 26
4.4.4 Test auf Änderung der Fertigungslage ... 26
4.4.5 Test auf Abweichung von festgelegten Verteilungsmodellen ... 26
4.4.6 Auswertung nach Normalverteilung ........ 26
4.4.7 Auswertung nach festgelegtem Modell .... 26
4.4.8 Verteilungsfreie Auswertung ..................... 27
5. Dokumentation .................................................... 28
6. Ergebnisbeurteilung ........................................... 28
7. Maschinenoptimierung ..................................... 29
8. Behandlung nicht fähiger Maschinen ................ 29
9. Beispiele ............................................................ 30
10. Mitgeltende Unterlagen .................................. 30
11. Literaturhinweise ............................................... 33
12. Stichwortverzeichnis ....................................... 34
Image Analysis:
**1. Localization and Attribution:**
There is only one image on the page. Therefore, it will be referred to as "Image 1."
**4. Text Analysis:**
- **Title and Headers:**
- "Maschinenfähigkeitsuntersuchung für messbare Merkmale" (Machine Capability Testing for Measurable Features)
- **Subtitle:**
- "Konzernnorm" (Group Standard)
- **Keywords:**
- "Schlagwörter: Maschinenfähigkeitsuntersuchung, Fähigkeitskenwert, Qualitätsfähigkeit, Maschinenfähigkeit" (Keywords: Machine Capability Testing, Capability Index, Quality Capability, Machine Capability)
- **Content Table:**
- This image contains a table of contents for a document related to machine capability testing. It includes 13 main sections and various subsections detailing different aspects of machine capability testing and evaluation.
- **Sections and Page Numbers:**
- Section 1: Zweck und Anwendungsbereich (Purpose and Application Area) - Page 2
- Section 2: Prinzip der Maschinenfähigkeitsuntersuchung (Principle of Machine Capability Testing) - Page 3
- Section 3: Theoretische Grundlagen (Theoretical Basics) - Page 4
- Section 3.1: Verteilungsmodelle (Distribution Models) - Page 4
- Section 3.1.1: Normalverteilung (Normal Distribution) - Page 4
- Section 3.1.2: Betragsverteilung 1. Art (Magnitude Distribution 1st Type) - Page 5
- Section 3.1.3: Betragsverteilung 2. Art (Rayleigh-Verteilung) (Magnitude Distribution 2nd Type - Rayleigh) - Page 6
- Section 3.2: Fähigkeitsermittlung (Capability Determination) - Page 8
- Section 3.2.1: Fähigkeitsermittlung bei definierten Verteilungsmodellen (Capability Determination with Defined Distribution Models) - Page 8
- Section 3.2.2: Fähigkeitsermittlung bei nicht definierten Verteilungsmodellen (Capability Determination without Defined Distribution Models) - Page 16
- Section 3.3: Grenzwerte zur Maschinenfähigkeit (Limit Values for Machine Capability) - Page 18
- Section 3.4: Statistische Tests (Statistical Tests) - Page 20
- Section 4: Durchführung einer Maschinenfähigkeitsuntersuchung (Conducting a Machine Capability Study) - Page 23
- Section 4.1: Prüfmittelanwendung (Application of Test Equipment) - Page 23
- Section 4.2: Stichprobenentnahme (Sampling) - Page 24
- Section 4.3: Sonderregelung für eingeschränkte MFU (Special Regulation for Limited MFU) - Page 25
- Section 4.4: Datenauswertung (Data Evaluation) - Page 25
- Section 4.4.1: Auswahl des zu erwartenden Verteilungsmodells (Selection of the Expected Distribution Model) - Page 25
- Section 4.4.2: Test auf Ausreißer (Outlier Test) - Page 25
- Section 4.4.3: Ausreißer aus der Berechnung der statistischen Kenwerrte nehmen (Exclude Outliers from the Calculation of Statistical Parameters) - Page 25
- Section 4.4.4: Test auf Änderung der Fertigungslage (Test for Manufacturing Shift) - Page 26
- Section 4.4.5: Test auf Abweichung vom festgelegten Verteilungsmodell (Test for Deviation from the Established Distribution Model) - Page 26
- Section 4.4.6: Auswertung nach Normalverteilungen (Evaluation According to Normal Distributions) - Page 26
- Section 4.4.7: Auswertung nach festgelegtem Modell (Evaluation According to the Established Model) - Page 26
- Section 4.4.8: Verteilungsfreie Auswertungen (Distribution-Free Evaluations) - Page 27
- Section 4.5: Dokumentation (Documentation) - Page 28
- Section 4.6: Ergebnisbeurteilung (Result Assessment) - Page 28
- Section 4.7: Maschinenoptimierung (Machine Optimization) - Page 29
- Section 4.8: Behandlung nicht fähiger Maschinen (Handling Non-Capable Machines) - Page 29
- Section 5: Beispiele (Examples) - Page 30
- Section 6: Mitgliedende Unterlagen (Member Documents) - Page 30
- Section 7: Literaturhinweise (References) - Page 33
- Section 8: Stichwortverzeichnis (Index) - Page 34
**7. Anomaly Detection:**
No anomalies or unusual elements are identified in the image.
**8. Color Analysis:**
The image is primarily composed of black and white text on a white background, following a standard format for technical documents. There are no dominant colors other than black text, contributing to a formal and professional look.
**9. Perspective and Composition:**
The image is taken from a bird's eye view, directly above the document, ensuring all text and elements are visible and readable. The composition consists of a header, follo1:wed by a detailed table of contents.
####################
File: VW%2010130_DE.pdf
Page: 2
Context: # Einleitung
Eine Bewertung der Maschinenfähigkeit bezüglich betrachteter messbarer Fertigungsmerkmale ist eine wichtige Voraussetzung zur Erfüllung der festgelegten Qualitätsanforderungen. Für viele Praxisfälle der Fähigkeitsuntersuchung gab es jedoch bisher keine Normen oder einheitlichen Konzeptionen, sodass in gleichen Fällen völlig unterschiedliche Fähigkeitsbewertungen ergeben konnten. Um die Fähigkeitsuntersuchung nach einheitlichen Regeln für alle Praxisfälle durchführen zu können und damit die Vergleichbarkeit der Ergebnisse im VW-Konzern sicherzustellen, wurde daher diese Norm erarbeitet.
Die Norm enthält in geschlossenem Text vollständig die theoretischen Grundlagen, die zur Anwendung und zum Verständnis erforderlich sind. Lediglich die statistischen Tests, die bereits in Normen oder Standardwerken der Statistikliteratur ausführlich beschrieben sind, werden nur mit Verweisen angegeben.
Zur Durchführung einer Maschinenfähigkeitsuntersuchung nach dieser Norm ist ein EDV-Programm erforderlich, in dem die beschriebenen Algorithmen implementiert sind. Steht ein solches EDV-Programm zur Verfügung, so kann sich der Anwender im Wesentlichen auf die in Abschnitt 4 beschriebenen Regelungen beschränken und hat Bedarf theoretische Grundlagen nachzulesen. Die wichtigsten Unterabschnitte darin sind wiederum:
- 4.2 Stichprobenahme
- 4.5 Dokumentation
- 4.6 Ergebnisevaluierung
Im Abschnitt 5 sind zudem Beispiele aufgeführt, die als Hilfe zur Ergebnisevaluierung dienen sollen.
## 1 Zweck und Anwendungsbereich
Ziel einer Maschinenfähigkeitsuntersuchung ist eine dokumentierte Bewertung, ob die zu untersuchende Maschine eine sichere Fertigung eines betrachteten Merkmals innerhalb definierter Grenzwerte ermöglicht. Idealweise sollen dabei nur maschinenbedingte Einflüsse auf den Fertigungsprozess zur Wirkung kommen.
Wie und unter welchen Voraussetzungen Maschinenfähigkeitsuntersuchungen durchzuführen sind, ist Gegenstand dieser Norm. Sie ist anwendbar auf beliebige kontinuierliche (messbare) Fertigungsmerkmale.
Image Analysis:
### Text Analysis
**Image 1**
- **Localization and Attribution:**
- There is a single page containing text.
- This is the only image on the page, so it is referred to as Image 1.
**Text Detected (Translated to English for Context):**
- **Page Header:**
- "Seite 2"
- "VW 101 30: 2005-02"
- **Main Heading:**
- "Einleitung"
- **Body Text:**
- "Eine Bewertung der Maschinenfähigkeit bezüglich betrachter messbarer Fertigungsmerkmale ist eine wichtige Voraussetzung zur Erfüllung der festgelegten Qualitätsforderungen..."
- "4.2 Stichprobenentnahme"
- "4.5 Dokumentation"
- "4.6 Ergebnissbeurteilung"
- "Im Abschnitt 5 sind zudem Beispiele aufgeführt, die als Hilfe zur Ergebnissbeurteilung dienen sollen."
- **Section 1 Heading:**
- "1 Zweck und Anwendungsbereich"
- **Section 1 Body Text:**
- "Ziel einer Maschinenfähigkeitsuntersuchung ist eine dokumentierte Bewertung, ob die zu untersuchende Maschine eine sichere Fertigung eines betrachteten Merkmals innerhalb definierter Grenzwerte ermöglicht..."
**Analysis of the Text:**
- **Page Header and Document Title:**
- "Seite 2" indicates this is page 2 of the document.
- "VW 101 30: 2005-02" appears to be a reference code for the document, suggesting it belongs to a series of standards or guidelines, potentially related to the Volkswagen Group (VW).
- **Introduction (Einleitung):**
- Discusses the importance of assessing the capability of machines in the context of measurable manufacturing features to meet quality requirements.
- Emphasizes the need for consistent rules for practical applications and comparisons among different VW group results.
- Identifies sections 4.2, 4.5, and 4.6 as critical parts of the standard.
- **Purpose and Application Area (Zweck und Anwendungsbereich):**
- Highlights the purpose of machine capability studies, which is to provide a documented assessment of whether a machine can securely manufacture the considered characteristic within defined limits.
- Underlines the significance of machine-based influences on the manufacturing process.
- Mentions the usage conditions under which such studies should be conducted, indicating its applicability to any continuously measurable manufacturing feature.
### Diagram and Chart Analysis
- **None Presented:**
### Product Analysis
- **None Presented:**
### Anomaly Detection
- **None Identified:**
### Perspective and Composition
- The image is a scan or a photograph of a document page.
- Standard text layout typical of formal documents with headings, paragraphs, and sections.
### Contextual Significance
- Given the detailed review and the structured format, this document seems to be a technical standard or guideline related to the quality and capability assessment of manufacturing machines.
- The specific headings and sections suggest it is meant for professionals in a manufacturing or engineering context, likely within the VW group or associated industries.
### Metadata Analysis
- **None Available:**
### Color Analysis
- The image content is monochromatic, typical for text documents, enhancing readability and focus on the textual content without visual distractions.
### Process Descriptions and Prozessbeschreibungen
- The document describes a process for the capability evaluation of machines in manufacturing, indicating steps and methodologies for ensuring quality control within specified limits.
### Trend and Interpretation
- The document highlights a trend in quality management standards focusing on the machine capability to produce consistent, measurable features, likely reflecting broader industry practices.
### Tables, Ablaufprozesse, Typen Bezeichnung
- **None Presented:**
This analysis provides a comprehensive understanding of the content and purpose of the presented document page, focused on the standards for machine capability in manufacturing.
####################
File: VW%2010130_DE.pdf
Page: 3
Context: # 2 Prinzip der Maschinenfähigkeitsuntersuchung
Aufgrund von Zufallseinflüssen ergeben sich bei der Fertigung von gleichartigem Teilen mit der untersuchten Maschine grundsätzlich unterschiedliche Werte eines betrachteten Merkmals. Diese Merkmalswerte¹ streuen in nach Fertigungsqualität emittierenden Einflussbedingungen. Es wird daher untersucht, wie die Verteilung der Merkmalswerte in den Konstrukteur definierte Toleranzintervalle passt (Bild 1). Die Bewertung darf und durch die Fähigkeitskennwerte \( C_{pk} \) und \( C_{mk} \) (von capability) ausgedrückt, wobei durch den \( C_{pk} \)-Wert nur die Fertigungsgüte und durch den \( C_{mk} \)-Wert auch die Fertigungslage berücksichtigt wird. Diese Kenntnisse müssen mindestens so groß wie definierte Grenzwerte sein, um die Forderung nach einer fähigen Maschine zu erfüllen.
Zur Ermittlung der Fähigkeitskennwerte bezüglich des betrachteten Merkmals wird eine genügend große Stückprobe (in der Regel n = 50) gefertigter Teile in direkter Folge unter möglichst idealen Bedingungen der Einflusskategorie Material, Mensch, Methode und Umfeld entnommen, um wesentliche Informationen über den Maschineninfluss zu erfassen. Aus dieser Stichprobe werden Lage \( \mu \) und Streubreiten \( X_{0,135} \) und \( X_{0,865} \) für die Grundsamtheit der Merkmalswerte (theoretisch unendliche Anzahl) erwartungsgemäß geschätzt und mit dem Toleranzintervall \([G_L, G_U]\) verglichen (Bild 1). Die Streubreiten werden dabei so festgelegt, dass der Anteil von Merkmalswerten außerhalb des Streubereichs zu beiden Seiten jeweils \( p_L = 0,135\%\) beträgt. Zusätzlich wird überprüft, ob die Verteilung der Merkmalswerte einer erwarteten Gesetzmäßigkeit entspricht.
¹ Der Begriff Merkmalswert ist nicht zu verwechseln mit dem Begriff Messwert, da letzterer gegenüber ersterem eine Unsicherheit enthält.
² Zur Bezeichnung der Grenzwerte ist auch USG, OSG oder USL OSL oder Tu zuzulässig.
Image Analysis:
### Analysis of Attached Visual Content
#### Image Localization and Attribution
- **Image 1**: Located on the single page provided. There is only one image on this page.
#### Object Detection and Classification
- **Image 1**:
- **Object Detected**: Graph illustrating normal distribution.
- **Category**: Diagram/Chart.
- **Key Features**: A bell curve representing the distribution of "Merkmalswerte" (characteristic values) within a specified tolerance range.
#### Scene and Activity Analysis
- **Image 1**:
- **Scene Description**: The scene depicts a graph with a normal distribution curve. The context seems to be related to machine capability studies and quality control.
- **Activity**: The illustration is used to convey the concept of tolerance intervals and the distribution of characteristic values in a production process.
#### Text Analysis
- **Image 1**:
- **Text Detected**:
- Title: "Prinzip der Maschinenfähigkeitsuntersuchung"
- Caption: "Bild 1 - Beispiel einer Verteilung von Merkmalswerten innerhalb eines definierten Toleranzintervalls"
- Labels: "Toleranz," "definierte Prozessstreubreite," "Häufigkeit," "pₑ = 0,135%," "G_L," "G_O," "X0,135%," "X 99,865%," "μ," "Merkmalswert".
- **Significance**: The text discusses principles of machine capability studies, focusing on how characteristic values must stay within tolerance intervals defined by the manufacturing process.
#### Diagram and Chart Analysis
- **Image 1**:
- **Data and Trends**: The chart shows a bell curve (normal distribution) with the characteristic values (Merkmalswerte) spread within a specified tolerance range. The extreme points (G_L and G_O) represent the lower and upper tolerance limits.
- **Axes, Scales, Legends**: The x-axis is labeled "Merkmalswert" (characteristic value) and the y-axis shows "Häufigkeit" (frequency). The scale illustrates a typical normal distribution, marking the mean (μ) and specific points at 0.135% and 99.865% of the distribution.
- **Key Insights**: The chart is used to demonstrate how characteristic values in a manufacturing process are distributed within set tolerance limits, ensuring quality control.
#### Product Analysis
- Not applicable.
#### Anomaly Detection
- No anomalies identified.
#### Color Analysis
- The image predominantly uses black and white, which is typical for technical documents. The lack of color focus on providing clear, unambiguous information.
#### Perspective and Composition
- **Perspective**: Standard head-on view appropriate for technical diagrams.
- **Composition**: The diagram and the accompanying text are centrally aligned, giving a balanced and structured presentation.
#### Contextual Significance
- This image provides a visual representation of the data explanation in the surrounding text. It enhances understanding of the statistical analysis involved in machine capability studies within a manufacturing quality control context.
#### Metadata Analysis
- Not applicable.
#### Graph and Trend Analysis
- Detailed above under Diagram and Chart Analysis.
#### Graph Numbers
- Not applicable as the graph is illustrative rather than numerical.
#### Additional Aspects
##### Ablaufprozesse (Process Flows):
- The text outlines the process flow of evaluating machine capability through characteristic value distribution within tolerance limits.
##### Prozessbeschreibungen (Process Descriptions):
- The process described involves using a suitable sample size (typically 50 parts) and evaluating characteristic values to ensure they fall within defined tolerance intervals, taking material, human, technological, and environmental influences into account.
##### Typen Bezeichnung (Type Designations):
- The document specifies terms like "Merkmalswerte" for characteristic values, "Toleranzinterval" for tolerance interval, and "Streuverteilung" for distribution spread.
##### Trend and Interpretation:
- The trend shows that most characteristic values cluster around the mean (μ) within the tolerance range, indicating a stable production process with minimal deviation beyond the defined limits.
##### Tables:
- Not applicable in the provided content.
By detailing these aspects, this analysis provides a comprehensive examination of the content within the attached visual, focusing on key elements relevant to machine capability studies and ensuring quality control in manufacturing processes.
####################
File: VW%2010130_DE.pdf
Page: 4
Context: # 3 Theoretische Grundlagen
## 3.1 Verteilungsmodelle
Die Verteilung von Merkmalwerten lässt sich für die meisten Arten von Fertigungsmerkmalen durch ein Verteilungsmodell beschreiben. So lässt sich für die meisten zweisitig tolerierten Fertigungsmerkmale, z.B. Längenmaße, Durchmesser und Drehmomente, eine Normalverteilung zugrunde legen.
Das Steuerverhalten einseitig nach oben tolerierter Fertigungsmerkmale lässt sich dagegen in der Regel durch Betragsverteilungen der 1. oder 2. Art beschreiben. So lässt sich z.B. die Betragsverteilung 1. Art für die Merkmalsarten Parallelität, Asymmetrie und die Betragsverteilung 2. Art für die Merkmalsarten Position, Koaxialität zugrunde legen.
### 3.1.1 Normalverteilung
Die Funktion der Wahrscheinlichkeitsdichte (kurz Dichtefunktion) einer Normalverteilung, die grafisch in Bild 2 dargestellt ist, lautet:
$$f_X(x) = \frac{1}{\sigma \sqrt{2\pi}} e^{-\frac{(x - \mu)^2}{2\sigma^2}} \quad (1.1)$$
mit den Parametern Mittelwert \(\mu\) und Standardabweichung \(\sigma\), die Lage und Breite einer Verteilung kennzeichnen, wobei das Quadrat der Standardabweichung \(\sigma^2\) als Varianz bezeichnet wird.
| Merkmalwert | p = 0.135 | p = 0.135 |
|-------------|-----------|-----------|
| μ - 4σ | | |
| μ - 3σ | | |
| μ - 2σ | | |
| μ - σ | | |
| μ | | |
| μ + σ | | |
| μ + 2σ | | |
| μ + 3σ | | |
| μ + 4σ | | |
Image Analysis:
### Analysis
#### 1. **Localization and Attribution:**
- **Image 1:**
- It is the only image on the page and is referred to as "Bild 2" in the text.
#### 2. **Object Detection and Classification:**
- **Image 1:**
- **Objects:** A graph depicting a probability density function (Normalverteilung).
- **Categories:** Scientific chart, mathematical curve.
#### 3. **Scene and Activity Analysis:**
- **Image 1:**
- The scene shows a graph illustrating the probability density function of a normal distribution.
- The main activity involves explaining the concept of normal distribution through its mathematical formula and graphical representation.
#### 4. **Text Analysis:**
- **Main Text:**
- The text discusses theoretical foundations, specifically distribution models and the normal distribution.
- The formula for the probability density function of a normal distribution is provided.
- The significance lies in understanding how characteristics can be described using this statistical model.
- **Graph Text:**
- Labels include "Wahrscheinlichkeitdichte" (Probability Density), "Merkmalswert" (Characteristic Value), and various μ (mean) and σ (standard deviation) points.
- It describes key points such as the mean (μ), standard deviations (μ ± σ), and turning points.
#### 5. **Diagram and Chart Analysis:**
- **Graph:**
- **Axes:**
- **Y-Axis:** "Wahrscheinlichkeitdichte" (Probability Density)
- **X-Axis:** "Merkmalswert" (Characteristic Value)
- **Scale:**
- The X-axis has marked deviations from the mean (μ ± nσ).
- **Key Insights:**
- The curve visually depicts the properties of a normal distribution.
- The areas under the curve between μ ± σ show significant probability mass.
#### 10. **Contextual Significance:**
- The image is used to visually complement the explanation of normal distribution.
- It provides a concrete example to better understand the abstract mathematical formula and theory discussed in the text.
#### 12. **Graph and Trend Analysis:**
- **Analysis:**
- The graph represents a typical bell curve of a normal distribution.
- Appreciable trends include the symmetry around the mean (μ) and the decreasing probability as you move away from the mean.
- Points of inflection are located at μ ± σ, emphasizing standard deviation's role in spreading data.
#### 13. **Graph Numbers:**
- **Data Points:**
- μ - 4σ
- μ - 3σ
- μ - 2σ
- μ - σ
- μ
- μ + σ
- μ + 2σ
- μ + 3σ
- μ + 4σ
#### **Ablaufprozesse (Process Flows):**
- The flow of reasoning in the text proceeds from defining general distribution models to focusing on the normal distribution specifically.
#### **Prozessbeschreibungen (Process Descriptions):**
- The text describes the distribution process where data tends to cluster around a mean value following a bell-shaped curve, typical for many natural phenomena.
### Insights and Interpretation:
- The page functions as an educational resource to explain the properties and significance of the normal distribution.
- Understanding the graphical depiction of the normal distribution helps in practical applications such as quality control and statistical analysis in manufacturing and other fields.
####################
File: VW%2010130_DE.pdf
Page: 5
Context: Als Wahrscheinlichkeit lässt sich in Bild 2 der Flächenanteil unterhalb des Grafen innerhalb eines betrachteten Intervalls interpretieren. Die Wahrscheinlichkeit, einen Merkmalswert \( x \) in einer Grundgesamtheit vorzufinden, der höstens so groß wie ein betrachteter Grenzwert \( x_1 \) ist, wird somit durch die Integralfunktion, die Verteilungsfunktion, angegeben. Diese lautet für die Normalverteilung
\[ F_v(x) = \int_{-\infty}^{x} f_v(x) \, dx \quad (1.2) \]
wobei
\[ \int_{-\infty}^{x} f_v(x) \, dx = 1 \quad (1.3) \]
und \( f_v(x) \geq 0 \) für alle Werte \( x \) gilt.
Mit der Transformation
\[ u = \frac{x - \mu}{\sigma} \quad (1.4) \]
ergibt sich aus (1.1) die Wahrscheinlichkeitsdichte der standardisierten Normalverteilung
\[ \phi(u) = \frac{1}{\sqrt{2\pi}} e^{-\frac{u^2}{2}} \quad (1.5) \]
und die Verteilungsfunktion
\[ \Phi(u) = \int_{-\infty}^{u} \phi(u) \, du \quad (1.6) \]
mit der Standardabweichung \( \sigma = 1 \).
### 3.1.2 Betragsverteilung 1. Art
Die Betragsverteilung 1. Art entsteht durch Faltung der Dichtefunktion einer Normalverteilung am Nullpunkt, wobei die Funktionswerte links vom Faltungspunkt zu denen rechts davon addiert werden.
Die Dichtefunktion und die Verteilungsfunktion der Betragsverteilung 1. Art lauten somit
\[ f_{a}(x) = \frac{1}{\sigma_N \cdot \sqrt{2\pi}} \left( e^{-\frac{|x - \mu_N|}{\sigma_N}} + e^{-\frac{x + \mu_N}{\sigma_N}} \right) \quad \text{für } x \geq 0 \quad (1.7) \]
\[ F_{B}(x_{g}) = \Phi\left(\frac{x_{g} - \mu_N}{\sigma_N}\right) + \Phi\left(\frac{x_{g} + \mu_N}{\sigma_N}\right) - 1 \quad (1.8) \]
wobei
- \( \mu_N \): Mittelwert der ursprünglichen Normalverteilung, der eine systematische Nullpunktverschiebung kennzeichnet
- \( \sigma_N \): Standardabweichung der ursprünglichen Normalverteilung
- \( \Phi \): Verteilungsfunktion der standardisierten Normalverteilung
Image Analysis:
### Text Analysis:
- **Section Headers and Content:**
- **3.1.2 Betragsverteilung 1. Art:**
- This title refers to the "Absolute Distribution of the 1st Kind". It appears to be a focus on a specific type of statistical distribution.
- **In-line Mathematical Expressions and Their Practical Interpretation:**
- There are several mathematical expressions, each connected to probability functions and transformations:
1. **\( F_{N}(x) = ∫_{-∞}^{x} f_{x}(x) dx \)** (1.2)
2. **\( ∫_{-∞}^{∞} f_{x}(x) dx = 1 \)** (1.3): Ensures that the total probability distribution sums to 1.
3. **\( f_{x}(x) ≥ 0 \)** for all values of x.
4. **Transformation: \( u = \frac{X - µ}{σ} \)** (1.4)
5. **Probability density of the standardized normal distribution:**
- \( φ(u) = \frac{1}{√(2π)} e^{-\frac{u²}{2}} \)** (1.5)
6. **Distribution function \( Φ(u) = ∫_{-∞}^{u} φ(u) du \)** (1.6): Indicates the cumulative distribution function (CDF) with standard deviation σ=1.
- **Further Mathematical Definitions:**
- **Betragsverteilung 1. Art:**
- Emerges from the folding density function of a normal distribution at the zero point (null point).
- Equations (1.7) and (1.8) show the probability density function and cumulative distribution function (CDF) for this kind of distribution, respectively:
- \( f_{B₁}(x) = \frac{1}{σ_{N} √(2π)} \left( e^{(-\frac{(x-µ_{N})²}{2σ_{N}²})} + e^{(-\frac{(x + µ_{N})²}{2σ_{N}²})} \right)\) for \( x ≥ 0 \) (1.7)
- \( F_{B₁}(x_{B₁}) = \left[Φ_{J} \left(\frac{x_{B₁} - µ_{N}}{σ_{N}} \right) + Φ_{J} \left( \frac{x_{B₁} + µ_{N}}{σ_{N}} \right) - 1 \right]\) (1.8)
- Definitions:
- \( µ_{N} \): Mean of the original normal distribution, which signifies a systematic deviation at the zero point.
- \( σ_{N}: Standard deviation of the original normal distribution.
- \( Φ_{J}: Distribution function of the standardized normal distribution.
### Diagram and Chart Analysis:
- **Description:**
This segment appears to provide theoretical and mathematical derivations related to statistical distributions, particularly focusing on probability distributions like the normal distribution and transformations to standardized forms. However, the provision of actual diagrams or explicit charts is missing.
### Process Descriptions:
- **Probability Integration:**
- Equations provided ensure integration of probability density functions to confirm total probability equals 1.
- Transformation into standardized forms using z-scores facilitates easier understanding and application.
- **Folded Normal Distribution:**
- The method describes modifying a normal distribution around a null point, producing a distribution function that symmetrically accounts for deviations both left and right.
### Trend and Interpretation:
- **Normal Distribution's Statistical Properties:**
- Standardization (mean removal and division by standard deviation) simplifies comparing different data sets.
- Folding around zero enhances understanding probabilistic behaviors essential in diverse scenarios, ranging from basic statistics to advanced theoretical applications.
In conclusion, these textual fragments delve into critical aspects of understanding and leveraging normal distribution in statistical analyses, helping ensure robust, standardized, and comparable interpretations across different datasets.
####################
File: VW%2010130_DE.pdf
Page: 6
Context: # Seite 6
## VW 101 30: 2005-02
Das Bild 3 zeigt Dichtefunktionen, die sich aus der Faltung der Dichte der Normalverteilung bei verschiedenen Nullpunktverschiebungen ergeben.
### Mittelwert und Varianz der Betragsverteilung 1. Art lauten:
\[
\mu = \mu_N \left( \frac{\mu_N}{\sigma_N} - \Phi\left(\frac{-\mu_N}{\sigma_N}\right) + \frac{2\sigma_N}{\sqrt{2\pi}} e^{-\frac{(\mu_N)^2}{2\sigma_N^2}} \right)
\] (1.9)
\[
\sigma^2 = \sigma_N^2 + \mu_N^2
\] (1.10)
Für den Fall einer Nullpunktverschiebung \(\mu_N = 0\) ergibt sich aus (1.9) und (1.10):
\[
\mu = \frac{2 \cdot \sigma_N}{\sqrt{2\pi}}
\] (1.11)
\[
\sigma^2 = \left(1 - \frac{2}{\pi}\right) \sigma_N^2
\] (1.12)
Wie Bild 3 zeigt, nährt sich die Betragsverteilung 1. Art mit zunehmender Nullpunktverschiebung einer Normalverteilung. Somit kann für den Fall
\[
\frac{\mu}{\sigma} \geq 3
\] (1.13)
die Betragsverteilung 1. Art mit guter Näherung durch eine Normalverteilung ersetzt werden.
Image Analysis:
### Comprehensive Examination of Attached Visual Content
1. **Localization and Attribution:**
- **Image Location and Numbering:**
- The page contains a single image, referred to as **Image 1**.
2. **Object Detection and Classification:**
- **Image 1:**
- **Objects Detected:**
- A graph depicting multiple curves, axes, and labels.
- **Classification:**
- **Graph Components:**
- X-axis: Labeled "Merkmalswert"
- Y-axis: Labeled "Wahrscheinl4ichkeitsdichte"
- Multiple curves corresponding to different μ\_N values (0, 1σ\_N, 2σ\_N, 3σ\_N)
- **Equations:**
- Located below the graph.
3. **Scene and Activity Analysis:**
- This image is a graph representation of probability density functions for different parameter shifts, and mathematical equations related to these functions.
4. **Text Analysis:**
- **Detected Text:**
- **Title:**
- "Bild 3 - Dichtefunktion der Betragsverteilung 1. Art mit verschiedenen Nullpunktverschiebungen"
- **Graph Labels:**
- "Wahrscheinl4ichkeitsdichte" (y-axis)
- "Merkmalswert" (x-axis)
- Various notations for different μ\_N values.
- **Mathematical Equations and Explanations:**
- Descriptions and formulas related to the mean value and variance of the probability distribution.
- **Text Significance:**
- The text provides critical information and context about the depicted graph and mathematical concepts.
5. **Diagram and Chart Analysis:**
- **Image 1:**
- **Graph Analysis:**
- **X-Axis (Merkmalswert):**
- Ranges from 0 to 6σ\_N.
- **Y-Axis (Wahrscheinl4ichkeitsdichte):**
- Represents probability density.
- **Curves:**
- Differently shaped curves represent different μ\_N shifts (0, 1σ\_N, 2σ\_N, 3σ\_N).
- **Insights:**
- The graph shows how the probability density function changes with different null point shifts (μ\_N).
6. **Anomaly Detection:**
- No anomalies or unusual elements are detected in the image.
7. **Color Analysis:**
- **Image 1:**
- **Dominant Colors:**
- Black (used for curves and text).
- **Impact:**
- The use of black provides clear visibility and distinction of the curves and mathematical notations on a white background.
8. **Perspective and Composition:**
- **Image 1:**
- **Perspective:**
- The perspective is a standard 2D graph view.
- **Composition:**
- The graph is centrally located on the page with explanatory text and equations positioned below it.
9. **Contextual Significance:**
- The image is part of a document that likely covers statistical methods or concepts, particularly focusing on density functions and their behavior under different conditions.
- The graph and equations contribute to understanding the document’s discussion of probability distributions.
10. **Metadata Analysis:**
- No metadata is available for this image.
11. **Graph and Trend Analysis:**
- **Image 1:**
- The graph indicates that as the null point shift increases (μ\_N), the shape and peak of the probability density functions change.
- **Data Points and Trends:**
- With increasing μ\_N, the curves spread out and decrease in height, illustrating broader distribution with increasing shifts.
### Conclusion
The page presents a detailed graph (Image 1) showing various configurations of a probability density function under different null point shifts, accompanied by mathematical equations and explanatory text. The graph and text work together to illustrate important statistical concepts related to probability distributions.
####################
File: VW%2010130_DE.pdf
Page: 7
Context: # 3.1.3 Betragverteilung 2. Art (Rayleigh-Verteilung)
Die Betragverteilung 2. Art ergibt sich aus den vektoriellen Beträgen der orthogonalen Komponenten x und y einer zweidimensionalen Normalverteilung, wobei für die Komponenten gleiche Standardabweichungen angenommen werden. Dieser Fall liegt bei vielen Fertigungsmerkmalen im Form radialer Abweichungen von einem betrachteten Punkt oder einer betrachteten Achse vor.
Die Dichtefunktion und die Verteilungsfunktion der Betragverteilung 2. Art lauten allgemein:
## Dichtefunktion
\[
f_{g2}(r) = \frac{r}{2\pi \sigma_N^2} e^{-\frac{r^2}{2\sigma_N^2}} \int_0^{\frac{z}{\sigma_x}} z \cdot \cos(\alpha) \, d\alpha \quad \text{für } r \geq 0 \tag{1.14}
\]
## Verteilungsfunktion
\[
F_{g2}(r) = \int_0^{r} f_{g2}(r) \, dr \tag{1.15}
\]
wobei
- \(\sigma_x\): Standardabweichung der orthogonalen Komponenten x und y, aus denen sich die radiale Abweichung r von einem Bezugspunkt oder einer Bezugsgasse ergibt
- z: Exzentrizität, Abstand zwischen Koordinatenursprung und Häufigkeitsmittelpunkt
Das Bild 4 zeigt Dichtefunktionen der Betragverteilung 2. Art, die sich bei verschiedenen Exzentrizitäten in Einheiten von \(\sigma_N\) ergeben.
# Mittelwert und Varianz der Betragverteilung 2. Art laufen
Image Analysis:
### Comprehensive Examination of the Visual Content
#### 1. **Localization and Attribution**
- The content consists of a single page.
- **Image Number:** Image 1
- **Location:** Lower part of the page, occupying about half of the total space.
#### 2. **Object Detection and Classification**
- **Object Detected:**
- A graph with multiple lines representing different functions.
- textual content includes mathematical expressions, figures, and annotations.
#### 3. **Scene and Activity Analysis**
- **Scene Description:**
- The scene showcases a mathematical context focused on the distribution functions of a certain kind, specifically Rayleigh distribution.
- **Main Activities:**
- Presentation and explanation of mathematical functions and their implications.
- Graphical representation of distribution functions with varying eccentricities.
#### 4. **Text Analysis**
- **Detected Text:**
- **Title and Heading:**
- "3.1.3 Betragsverteilung 2. Art (Rayleigh-Verteilung)"
- **Main Body Text:**
- Explanation of Rayleigh distribution, its function and significance.
- Definitions for key terms: "σ_N", "z".
- **Formulas:**
- Mathematical expressions (e.g., \( f_{\text{BZ2}}(r) = \frac{r}{2π * σ_N^2} * e^{-\frac{r^2}{2σ_N^2}}, z r * cosα dα = \int_{0}^{r} \int_{0}^{2π z r * cosα dα \), etc.).
- **Legend and labels in the graph:**
- "Z=0", "Z=1σ_N", "Z=2σ_N", "Z=3σ_N".
- **Graph Title:**
- "Bild 4 - Dichtefunktionen der Betragsverteilung 2. Art mit verschiedenen Exzentrizitäten."
- Axis labels: "Wahrscheinlichkeitsdichte" (Probability Density, y-axis), "Merkmalswert" (Feature Value, x-axis).
#### 5. **Diagram and Chart Analysis**
- **Graph Analysis:**
- **Axes and Scales:**
- X-axis labeled "Merkmalswert" (Feature Value), with values ranging from 0 to 60 with specific points marked for different values of Z.
- Y-axis labeled "Wahrscheinlichkeitsdichte" (Probability Density), indicating density values.
- **Lines:**
- Four distinct curves corresponding to different Z values (0, 1σ_N, 2σ_N, 3σ_N).
- **Trends:**
- Each curve represents how the probability density changes as the feature value increases for different eccentricities.
#### 12. **Graph and Trend Analysis:**
- **Trend Identification:**
- As the Z value increases, the curves shift to the right indicating that higher eccentricities correspond to higher feature values.
- Probability density decreases as feature value increases for higher Z values.
- The peak of the curves tends to flatten with increasing Z, suggesting a wider spread of feature values for larger eccentricities.
#### 13. **Graph Numbers**
- The exact numerical data points are not provided in the image, only the conceptual graph lines are present.
### Additional Aspects
#### **Process Flows and Descriptions**
- The image is focused on mathematical distribution and does not include process flows or process descriptions.
#### **Type Designations**
- Types of distribution functions based on eccentricities (Z values): Z=0, Z=1σ_N, Z=2σ_N, Z=3σ_N.
#### **Trend and Interpretation**
- Higher eccentricities (Z values) result in wider and lower distribution peaks, indicating that as eccentricity increases, the values become more spread out with a lower probability density at any specific value.
#### **Tables**
- There are no tables present in the image for analysis.
### Conclusion:
This image provides a specialized mathematical exploration of Rayleigh distribution functions with varying eccentricities. The graph illustrates how changes in eccentricity affect the probability density and feature values, providing insights into the statistical behavior of such distributions.
####################
File: VW%2010130_DE.pdf
Page: 8
Context: # Seite 8
## VW 101 30: 2005-02
\[
\mu = \int f_{2}(r) \cdot r \cdot dr \tag{1.16}
\]
\[
\sigma^{2} = 2 \cdot \sigma_{N}^{2} + z^{2} - \mu^{2} \tag{1.17}
\]
Für den Fall einer Exzentrizität \( z = 0 \) ergeben sich aus (1.14) und (1.15) Dichtefunktion und Verteilungsfunktion der Weibull-Verteilung mit dem Formparameterwert 2:
\[
f_{2}(r) = \frac{r}{\sigma_{N}} \cdot e^{- \left( \frac{r}{\sigma_{N}} \right)^{2}} \tag{1.18}
\]
\[
F_{2}(r) = 1 - e^{- \left( \frac{r}{\sigma_{N}} \right)^{2}} \tag{1.19}
\]
und daraus wiederum Mittelwert und Varianz:
\[
\mu = \sigma_{N} \cdot \sqrt{\frac{\pi}{2}} \tag{1.20}
\]
\[
\sigma^{2} = \left( 2 - \frac{\pi}{2} \right) \cdot \sigma_{N}^{2} \tag{1.21}
\]
Wie Bild 4 zeigt, nähert sich die Betragsverteilung 2. Art mit zunehmender Exzentrizität einer Normalverteilung. Somit kann für den Fall
\[
\frac{H}{\sigma} \geq 6
\]
die Betragsverteilung 2. Art mit guter Näherung durch eine Normalverteilung ersetzt werden.
## 3.2 Fähigkeitsermittlung
Die Fähigkeitkennwerte \( c_{N} \) und \( c_{pk} \) geben an, wie gut die Fertigungsergebnisse das Toleranzintervall eines betrachteten Merkmals einhalten. Dabei wird durch den \( c_{N} \)-Wert nur die Fertigungsstreuung berücksichtigt. Die Fertigungslage wird durch den \( c_{pk} \)-Wert berücksichtigt. Damit lässt sich einerseits ausdrücken, welcher Wert bei einer idealen Fertigungslage möglich ist, und andererseits lässt sich durch Vergleich der beiden Werte ausdrücken, wie stark die Fertigungslage vom Sollwert abweicht: Je größer der ermittelte Fähigkeit kennwerte sind, desto besser ist die Fertigung.
Zur Ermittlung der Fähigkeit kennwerte gibt es verschiedene Auswerteformen, die dem jeweiligen Fall entsprechend auszuwählen sind. Da die Ermittlung der Fähigkeit kennwerte nur aus Stichproben erfolgen kann, sind stets die Ergebnisse nur Schätzungen der gesuchten Werte der Grundgesamtheit der und sind somit durch ein Dach-Symbol gekennzeichnet.
Image Analysis:
### Comprehensive Examination
#### 1. Localization and Attribution:
- **Single Image**:
- There is only one page to analyze, and it includes a single image containing text and mathematical formulas.
#### 2. Object Detection and Classification:
- **Image 1**:
- **Detected Objects**:
- Text blocks
- Mathematical equations
#### 3. Scene and Activity Analysis:
- The page includes a structured section with textual content and mathematical formulas. There are no additional actors or discernible activities.
#### 4. Text Analysis:
- **Detected Text**:
- **Header**: "Seite 8", "VW 101 30: 2005-02"
- **Section Number**: "3.2"
- **Title**: "Fähigkeitsermittlung"
- **Main Text**:
- Discusses the determination of capability indices \(C_{mk}\) and \(C_{pk}\), used to assess the quality of manufacturing results relative to tolerance intervals.
- **Notes**:
- A footnote marked with a "4)" elaborates that the characterization of estimated capability indices with a roof symbol is intended for theoretical understanding only.
#### 5. Diagram and Chart Analysis:
- There are no diagrams or charts in this image.
#### 6. Product Analysis:
- There are no product images to analyze.
#### 7. Anomaly Detection:
- No noticeable anomalies are present in the image.
#### 8. Color Analysis:
- **Color Composition**:
- The image is black and white. The dominant color is black text on a white background, which provides clear readability.
#### 9. Perspective and Composition:
- **Perspective**:
- The image is taken from a straight-on perspective, typical for scanned documents or digital text, emphasizing readability.
- **Composition**:
- Organized into sections with clear headings and mathematical notations, following a logical sequence.
#### 10. Contextual Significance:
- **Overall Document/Website Context**:
- This image seems to be a page from a technical document, possibly related to mathematical or engineering principles, given the detailed mathematical equations and technical language.
- **Contribution to Overall Message**:
- The page contributes explicitly to understanding a specific technical methodology, focusing on determining and understanding capability indices in a manufacturing process context.
#### 11. Metadata Analysis:
- Metadata is not available in the image for analysis.
#### 12. Graph and Trend Analysis:
- No graphs are present to analyze.
#### 13. Graph Numbers:
- No numerical data from graphs is included in this image.
### Additional Aspects:
- **Ablaufprozesse (Process Flows)**:
- No process flows are depicted.
- **Prozessbeschreibungen (Process Descriptions)**:
- Describes the process of determining capability indices \(C_{mk}\) and \(C_{pk}\).
- **Typen Bezeichnung (Type Designations)**:
- Identifies capability indices \(C_{mk}\) and \(C_{pk}\), and notation for forming densities and distribution functions, such as \(f_{R2}\), \(F_{R2}\).
- **Trend and Interpretation**:
- Not applicable as no trends are illustrated beyond static text and equations.
- **Tables**:
- No tables are present in the image.
The image serves as an informative excerpt from a detailed technical or academic document, focusing on statistical methods for assessing manufacturing capability.
####################
File: VW%2010130_DE.pdf
Page: 9
Context: # 3.2.1 Fähigkeitsermittlung bei definierten Verteilungsmodellen
## 3.2.1.1 Fähigkeitskennwerte
Für ein zu untersuchendes Fertigungsmerkmal, dessen Stichprobenwerte nicht im Widerspruch mit einem theoretisch zu erwartenden Verteilungsmodell sind, werden die Fähigkeitskennwerte den jeweiligen Fall entsprechend (siehe auch Beispiele 1 und 2 in Abschnitt 5) nach folgenden Formeln geschätzt:
### Fähigkeitskennwerte für zweiseitig toleriertes Merkmal (nach DIN 55319, Methode M4), z.B. für Längene:
\[
\hat{c}_{mk} = \frac{G_{0} - G_{L}}{x_{99,865}\sigma_{0,135}}
\]
(2.1)
\[
\hat{c}_{mk} = \min \left\{ \frac{G_{0} - \bar{\mu}}{x_{99,865} - \mu} ; \frac{\bar{\mu} - G_{L}}{ \mu - x_{0,135}} \right\}
\]
(2.2)
### Fähigkeitskennwerte für einseitig nach oben toleriertes Merkmal mit natürlichem unteren Grenzwert Null, z.B. für Rundlaufabweichung:
\[
\hat{c}_{mk} = \frac{G_{0}}{x_{99,865} \sigma_{0,135}}
\]
(2.3)
\[
\hat{c}_{mk} = \frac{G_{0} - \bar{\mu}}{x_{99,865} - \mu}
\]
(2.4)
### Fähigkeitskennwerte für einseitig nach unten toleriertes Merkmal, z.B. für Zugfestigkeit:
\[
\hat{c}_{mk} = \frac{\bar{\mu} - G_{L}}{\mu - x_{0,135}}
\]
(2.5)
wobei
- \(G_{0}, G_{L}\): Höchstmaß, bzw. Mindestmaß
- \(\bar{\mu}\): geschätzter Mittelwert
- \(x_{0,135}, x_{99,865}\): Schätzwerte für Streubereichsgrenzen (Quantile, unterhalb derer der angegebene Anteil p von Messwerten liegt)
Image Analysis:
### Image Analysis
#### Localization and Attribution
- **Position**: Single-page document.
#### Text Analysis
**Detected and Extracted Text**:
1. **Header**:
```
Seite 9
VW 101 30: 2005-02
```
2. **Main Title**:
```
3.2.1 Fähigkeitensermittlung bei definierten Verteilungsmodellen
```
3. **Subsection Title**:
```
3.2.1.1 Fähigkeitskennwerte
```
4. **Paragraph Text**:
```
Für ein zu untersuchendes Fertigungsmerkmal, dessen Stichprobenwerte nicht im Widerspruch
mit einem theoretisch zu erwartenden Verteilungsmodell sind, werden die Fähigkeitskennwerte dem
jeweiligen Fall entsprechend (siehe auch Beispiele 1 und 2 im Abschnitt 5) nach folgenden For-
meln geschätzt:
```
5. **Formulas**:
```
Fähigkeitskennwerte für zweiseitig toleriertes Merkmal (nach DIN 55319, Methode M4), z.B. für
Längenmaß:
δ
c^m = -------------------
x_99.865% - x_0.135%
c^mk = min --------------- (2.2)
x_99.865% - μ- x_0.135%
Fähigkeitskennwerte für einseitig nach oben toleriertes Merkmal mit natürlichem unteren Grenzwert
Null, z.B. für Rundlaufabweichung:
δ (2.3)
c^m = ----
x_99.865% - x_0.135%
δ - x (2.4)
c^mk = -------------
x_99.865% - μ
Fähigkeitskennwerte für einseitig nach unten toleriertes Merkmal, z.B. für Zugfestigkeit:
μ - δ
c^mk = ----------
μ - x_0.135%
```
6. **Additional Text**:
```
wobei
δ_0, δ_u: Höchstmaß, bzw. Mindestmaß
μ : geschätzter Mittelwert
x_: Schätzwerte für Streubereichsgrenzen (Quantile, unterhalb derer der angege-
bene Anteil p von Messwerten liegt)
```
#### Formula Analysis
- **Formula 2.1**:
\[
\hat{c}_m = \frac{G_o - G_u}{x_{99.865\%} - x_{0.135\%}}
\]
- **Key Features**: Indicates measurement of a specific length.
- **Formula 2.2**:
\[
\hat{c}_{mk} = \min \left(\frac{G_o - \mu}{x_{99.865\%} - \mu - x_{0.135\%}}, \frac{\mu - G_u}{\mu - x_{0.135\%}}\right)
\]
- **Key Features**: Indicates calculation for minimization in measurement standards.
- **Formula 2.3**:
\[
\hat{c}_m = \frac{G_o}{x_{99.865\%} - x_{0.135\%}}
\]
- **Key Features**: Indicates upper limit thresholds.
- **Formula 2.4**:
\[
\hat{c}_{mk} = \frac{G_o - \mu}{x_{99.865\%} - \mu}
\]
- **Key Features**: Represents standard deviations in upper tolerance limits.
- **Formula 2.5**:
\[
\hat{c}_{mk} = \frac{\mu - G_u}{\mu - x_{0.135\%}}
\]
- **Key Features**: Signifies lower tolerance limits.
#### Contextual Significance
- **Significance**:
- The document provides mathematical models for evaluating manufacturing tolerance, crucial for quality assurance in production.
- Definitions of upper and lower tolerance limits help to maintain product consistency.
#### Diagram and Chart Analysis
- **Formulas**:
- Presented formulas effectively leverage quantiles for quality capability indices within manufacturing processes.
- These indices (c_m and c_mk) help assess whether the production processes comply with the specific tolerances set by standards such as DIN 55319.
---
This analysis covers most critical aspects of the visual and textual data presented on the page. The discussed formulas, text, and their contextual implications provide a comprehensive understanding required for technical evaluations in manufacturing quality control.
####################
File: VW%2010130_DE.pdf
Page: 10
Context: # 3.2.1.2 Schätzung der statistischen Kenngrößen
Die statistischen Kenngrößen Mittelwert µ und Standardabweichung σ einer Grundgesamtheit lassen sich unabhängig vom Verteilungsmodell aus den Messwerten einer Stichprobe erwartungstreu schätzen durch
\[
\bar{x} = \frac{1}{n_e} \sum_{i=1}^{n_e} x_i \quad (2.6)
\]
\[
s^2 = s^2 = \frac{1}{n_e - 1} \sum_{i=1}^{n_e} (x_i - \bar{x})^2 \quad (2.7)
\]
wobei
\[
n_e = n - n_a : \quad \text{effektiver Stichprobenumfang} \quad (2.8)
\]
- \( n \): gewählter Stichprobenumfang
- \( n_a \): Anzahl der Ausreißer
- \( x_i \): \(i\)-ter Merkmalwert
Im Fall auswertender Daten in Form einer Häufigkeitsverteilung klassierter Messwerte, z.B. aus manuellen Aufzeichnungen in Form von Strichen in einer Klasseneinteilung des Werbereichs (Strichliste), lassen sich die Kenngrößen µ und σ schätzen durch
\[
\bar{x} = \frac{1}{n_e} \sum_{k=1}^{K} a_k \cdot x_k \quad (2.9)
\]
\[
\sigma = \frac{1}{\sqrt{n_e - 1}} \sqrt{\sum_{k=1}^{K} a_k \cdot (x_k - \bar{x})^2} \quad (2.10)
\]
wobei
- \( x_k \): Mittelwert der k-ten Klasse
- \( a_k \): absolute Häufigkeit der Messwerte in der k-ten Klasse (ohne Ausreißer)
- \( K \): maximale Anzahl der Messwertklassen
## 3.2.1.3 Schätzung der Streuereichsgrenzen
Die Streuereichsgrenzen hängen vom Verteilungsmodell ab und werden wie folgt geschätzt:
### Streuereichsgrenzen der Normalverteilung:
Im Fall einer Normalverteilung als passendes Verteilungsmodell ergeben sich aus den nach (2.6) und (2.7) bzw. (2.9) und (2.10) ermittelten Werten µ und σ als Schätzwerte für die Streuereichsgrenzen
\[
x_{0.9685} \leq \mu \leq x_{0.1335} \quad (2.11)
\]
die wiederum in Formel (2.1) und (2.2) eingesetzt die klassischen Formeln zur Berechnung der Fähigkeitskennwerte ergeben (siehe auch Beispiel 1 im Abschnitt 5).
Image Analysis:
### Content Examination
#### 1. Localization and Attribution
- **Image Number**: Single Image
#### 2. Object Detection and Classification
- **Objects Identified**:
- Text segments.
- Mathematical equations/formulas.
- Section headings and numbered listings.
#### 3. Scene and Activity Analysis
- **Scene Description**:
The image depicts a page from a document, specifically titled "VW 101 30: 2005-02." The page number is "Seite 10." The content appears to be technical, focused on statistical estimations and calculations. The document is structured with headings, formulas, and detailed descriptions.
- **Activities**:
The primary activity is the presentation and explanation of statistical estimation methods, including the mean value (`µ`), standard deviation (`s`), and tolerance limits.
#### 4. Text Analysis
- **Detected Text**:
- Section 3.2.1.2: "Schätzung der statistischen Kenngrößen" (Estimation of Statistical Characteristics)
- Explanation of mean and standard deviation estimation.
- Formulas for `µ ̂`, `σ ̂`, and notations involving `n_e`, `n`, `n_A`, `x_i`, etc.
- Section 3.2.1.3: "Schätzung der Streubereichsgrenzen" (Estimation of Scatter Range Limits)
- Details on scatter range limits for normal distribution: `Ξ_{99.865}`, `K_{0.135}`.
- Formulas and explanations for calculations.
- **Text Significance**:
The text provides mathematical and statistical guidelines for estimating key parameters used in quality control or analysis within an engineering or technical domain. This includes how to handle classified measurements and outliers and how to calculate scatter range limits under normal distribution assumptions.
#### 6. Product Analysis
- No products depicted in the image.
#### 7. Anomaly Detection
- No anomalies detected in the image; all elements appear consistent with a technical document.
#### 9. Perspective and Composition
- **Perspective**:
Front-facing, flat perspective, typical of scanned or digitally created document pages.
- **Composition**:
Structured in a clearly organized format with headings and subheadings indicating different sections. Equations are properly formatted and aligned.
#### 10. Contextual Significance
- **Document Context**:
The image is part of a technical manual or standard, likely related to industrial or engineering processes.
- **Contribution to Overall Message**:
The image contributes detailed statistical methods that are crucial for the overall understanding of the document’s theme, which is likely related to quality control, process optimization, or data analysis in an engineering context.
#### 13. Graph Numbers
- There are no visible graphs in the image, only formulas and textual descriptions.
#### Additional Aspects
- **Ablaufprozesse (Process Flows)**:
- No explicit process flows depicted.
- **Prozessbeschreibungen (Process Descriptions)**:
The descriptions detail the processes for statistical estimation:
- Estimation of mean and standard deviation.
- Handling of classified measurements and outliers.
- Calculation of scatter range limits under normal distribution.
- **Typen Bezeichnung (Type Designations)**:
The types are designated in terms of statistical and mathematical variables and parameters relevant to quality control and data analysis.
- **Trend and Interpretation**:
The statistical methods and formulas indicate a trend towards methodical and accurate quality control processes. The emphasis is on precise calculations to ensure data reliability.
- **Tables**:
No tables are included in the image.
In conclusion, the image serves as a critical section of a technical manual, explaining the estimation of statistical characteristics and scatter range limits, essential for quality control and data analysis in engineering. The clear structure and detailed explanations are key to understanding and implementing these statistical methods.
####################
File: VW%2010130_DE.pdf
Page: 11
Context: # Streubereichsgrenzen der Betragsverteilung 1. Art
Zur Ermittlung der Streubereichsgrenzen für eine Betragsverteilung 1. Art werden zunächst nach Formel (2.6) und (2.7) bzw. (2.9) und (2.10) die Kenngrößen μ und σ geschätzt.
Für den Fall μ/σ < 3 werden dann aus den geschätzten Kenngrößen μ und σ die gesuchten Parameterwerte μ₁ und σ₁ der anzupassenden Betragsverteilung 1. Art in der folgenden Weise geschätzt:
Aus Gleichung (1.9) erhält man die Funktion
\[
\frac{\hat{\mu}}{\hat{\sigma}} = v \cdot \sqrt{\left(\frac{ \hat{N}}{N} \cdot \left( \frac{\hat{\mu}}{\hat{N}} - \frac{\hat{\sigma}}{\hat{N}} \right) + \frac{\hat{\sigma}}{\hat{N}} \cdot \left( \frac{\hat{\mu}}{\hat{N}} - \frac{\hat{\mu}}{\hat{N}} \right)\right) + \frac{2}{\sqrt{2}} \left(\frac{\hat{\sigma}}{\hat{\mu}}\right)}
\]
Mit Gleichung (1.10) ergibt sich daraus die Funktion
\[
\frac{\hat{c}}{\hat{\sigma}} = \frac{v \cdot \hat{b}}{\hat{N}} \sqrt{1 + \left(\frac{ \hat{\mu}}{\hat{N}}\right)^2}
\]
Aus den Gleichungen (1.11) und (1.12) ergibt sich die Bedingung
\[
\frac{\hat{\mu}}{\hat{\sigma}} = \frac{\sqrt{2}}{\sqrt{-2}} = 1,3236
\]
Die gesuchten Parameterwerte der Betragsverteilung 1. Art lassen sich somit unter der Bedingung (2.14) durch
\[
d\hat{\sigma} = \hat{d} \cdot
\frac{1 + \left(\frac{ \hat{\mu}}{ \hat{c}}\right)^2}{1 + \left(\frac{ \hat{\sigma}}{ \hat{c}}\right)^2}
\]
\[
\hat{\mu}_N = \xi_{5} \cdot \left(\frac{\hat{\mu}}{\hat{d}}\right) \quad \text{schätzen, wobei} \quad \xi_{5} = \text{inverse Funktion von (2.13)}
\]
Für den Fall, dass das Verhältnis \( \frac{\hat{\mu}}{\hat{d}} \) aufgrund von Zufallsabweichungen der Stichprobenkenngrößen kleiner ist als der Grenzwert 1,3236 aus der Bedingung (2.14), wird das Verhältnis \( \frac{\hat{\mu}}{\hat{d}} \) auf diesen Grenzwert gesetzt, bei dem sich die folgenden Parameterwerte ergeben:
\[
\hat{\mu}_N = 0 \quad \text{und nach Formel (1.12)}
\]
\[
d\hat{\sigma} = \frac{\pi}{\sqrt{2}} - \hat{b} = 1,659 \cdot \hat{d}
\]
Image Analysis:
**Image Localization and Attribution:**
- There is a single image on the page.
**Text Analysis:**
- The image contains a substantial amount of German text with mathematical equations and formulae.
- The heading reads: "Streuereichsgrenzen der Betragverteilung 1. Art," which translates to "Range limitations of the magnitude distribution of the 1st type."
- The text addresses the determination of spreading range limits for a magnitude distribution of the first type, initially estimating parameters μ and σ via various formulae.
- Several Greek symbols (μ, σ, ξ, etc.) and mathematical expressions are utilized consistently, indicating the text is likely discussing statistical functions and their derivations.
- Key equations include:
- Equation (2.12) introduces a function involving μ and σ.
- Equation (2.13) derives another function from previous ones.
- Equation (2.14) sets a condition involving the ratio μ/σ.
- Equations (2.15) and (2.16) solve parameters for the distribution.
- Equation (2.17) provides parameter values under specific conditions.
- The paragraphs under the equations explain the interpretations and conditions for these mathematical derivations.
**Diagram and Chart Analysis:**
- No diagrams or charts are present in this image.
**Color Analysis:**
- The image is predominantly in black and white, indicating that it is a text-based document or page without colored elements.
**Perspective and Composition:**
- The image appears to be a scanned document taken from a bird's eye view (straight on) perspective.
- The composition is straightforward, with text neatly aligned and equations systematically numbered.
**Contextual Significance:**
- Given the technical and mathematical nature of the content, the image is probably part of a scientific or statistical document, perhaps dealing with probability, distributions, and statistical parameters.
- This specific page contributes to a broader theme of data analysis and statistical theory, particularly focusing on the distribution limits of given parameters.
**Additional Observations:**
- There is an identifier at the top right corner: "Seite 11" (Page 11) and "VW 101 30: 2005-02," likely indicating the document's pagination and reference code.
- The structure of the text with numbered equations and explanations resembles that of a scientific paper or textbook in a technical field such as statistics or engineering.
In summary, the image is a detailed examination of statistical range limits for magnitude distribution, containing essential formulas and conditions for determining parameters under specific statistical frameworks.
####################
File: VW%2010130_DE.pdf
Page: 12
Context: # Seite 12
VW 101 30: 2005-02
Der Zusammenhang zwischen den Parameterwerten \( \mu_N \) und \( \sigma_N \) der Betragverteilung 1. Art und den statistischen Kennwerten \( \mu \) und \( \sigma \) ist in Bild 5 auf \( \sigma \) bezogen grafisch dargestellt.
## Bild 5 - Relative Parameterwerte der Betragverteilung 1. Art in Abhängigkeit von der relativen Lage
Für die angepasste Betragverteilung 1. Art lassen sich dann die Streubreichsgrenzen numerisch ermitteln, deren Abhängigkeiten von der relativen Lage in Bild 6 dargestellt sind.
## Bild 6 - Relative Streubreichsgrenzen der Betragverteilung 1. Art in Abhängigkeit von der relativen Lage
Image Analysis:
## Comprehensive Examination of the Attached Visual Content:
### Image Localization and Attribution:
- **Image 1**: The first graph located at the top of the page.
- **Image 2**: The second graph located at the bottom of the page.
### Object Detection and Classification:
- **Image 1**:
- Objects Detected:
- Axes (X and Y) for a graph
- Two curves labeled `μ_N / σ` and `σ_N / σ`
- Grid lines
- Data Points
- Classification: Graph/Chart, Scientific Visualization
- Key Features:
- X-axis labeled "relative Lage μ / σ"
- Y-axis labeled "relativer Verteilungsparameter"
- Two distinct curves representing different parameters
- **Image 2**:
- Objects Detected:
- Axes (X and Y) for a graph
- Two curves labeled `Χ_99.865% / σ` and `Χ_0.135% / σ`
- Grid lines
- Data Points
- Classification: Graph/Chart, Scientific Visualization
- Key Features:
- X-axis labeled "relative Lage μ / σ"
- Y-axis labeled "relative Streubreichsgrenze"
- Two distinct curves representing different parameters
### Scene and Activity Analysis:
- **Image 1**:
- Scene Description: A scientific graph displaying the relationship between relative parameter values and relative location.
- Activities: Visualization of parameter values indicative of statistical or probabilistic study.
- Main Actors: The two curves `μ_N / σ` and `σ_N / σ`.
- Actions: The curves represent the change in relative distribution parameters against relative location.
- **Image 2**:
- Scene Description: A scientific graph showing relative scatter range boundaries depending on the relative location.
- Activities: Visualization of scatter range boundaries.
- Main Actors: The two curves `Χ_99.865% / σ` and `Χ_0.135% / σ`.
- Actions: The curves represent the numerical scatter range limits against relative location.
### Text Analysis:
- **Image 1**:
- Detected Text:
- Titles, axis labels, and annotations such as "relativer Verteilungsparameter", "relative Lage μ / σ", "μ_N / σ", and "σ_N / σ".
- Analysis:
- The text provides context to understand the graph, indicating what the axes and curves represent.
- **Image 2**:
- Detected Text:
- Titles, axis labels, and annotations such as "relative Streubreichsgrenze", "relative Lage μ / σ", "Χ_99.865% / σ", and "Χ_0.135% / σ".
- Analysis:
- The text offers essential information necessary to grasp the significance of the curves in relation to the scatter range boundaries.
### Diagram and Chart Analysis:
- **Image 1**:
- Data and Trends:
- The graph contains two curves showcasing the relationship between the relative parameter values and relative location.
- One curve (likely representing `μ_N / σ`) shows a steady increase, while the other (likely representing `σ_N / σ`) starts high, decreases, and then stabilizes.
- Axes:
- X-axis: "relative Lage μ / σ" ranges from 1.2 to 3.0.
- Y-axis: "relativer Verteilungsparameter" ranges from 0 to 3.5.
- Key Insights:
- The parameter `μ_N / σ` increases non-linearly with relative location.
- The parameter `σ_N / σ` starts high but becomes less affected by relative location as it ranges out.
- **Image 2**:
- Data and Trends:
- The graph illustrates two curves indicating scatter range boundaries.
- The upper curve (Χ_99.865% / σ) is almost flat, while the lower curve (Χ_0.135% / σ) slightly increases.
- Axes:
- X-axis: "relative Lage μ / σ" ranges from 1.2 to 3.0.
- Y-axis: "relative Streubreichsgrenze" ranges from 0 to 7.
- Key Insights:
- The upper boundary (Χ_99.865% / σ) is relatively constant.
- The lower boundary (Χ_0.135% / σ) shows a slight increase with the relative location.
### Trend and Interpretation:
- **Image 1**:
- Trends:
- Increasing trend for `μ_N / σ`.
- Decreasing then stabilizing trend for `σ_N / σ`.
- Interpretations:
- The parameter `μ_N / σ` becomes more dominant as relative location increases.
- `σ_N / σ` suggests a higher initial value that stabilizes over the range.
- **Image 2**:
- Trends:
- Almost constant trend for `Χ_99.865% / σ`.
- Slightly increasing trend for `Χ_0.135% / σ`.
- Interpretations:
- The scatter range upper boundary remains steady, indicating consistent upper boundary behavior.
- The lower boundary trend increase indicates a gradual widening of the scatter range.
These analyses provide a detailed examination of the visual content, focusing on different aspects specified in the request.
####################
File: VW%2010130_DE.pdf
Page: 13
Context: ```markdown
Zur direkten Ermittlung der Kenwerte \(\mu_n\) und \(\sigma_n\) aus den Kenwerten \(\mu\) und \(\sigma\) kann für \(1{,}3236 < \frac{\sigma}{\bar{x}} < 3\) auch die folgende Näherung als inverse Funktion von (2.13) mit ausreichender Genauigkeit (auf bezogener Fehler kleiner als 0,01) verwendet werden:
\[
\bar{e}_\sigma = 1{,}64 \cdot \left( \frac{\sigma}{\bar{x}} \right)^{0{,}296} + 0{,}634 \cdot \left( \frac{\sigma}{\bar{x}} \right)^{1{,}3236} \tag{2.18}
\]
Zudem kann die Ermittlung der Streubereichsgrenzen für \(1{,}3236 < \frac{\sigma}{\bar{x}} < 3\) direkt mit Hilfe der folgenden Näherung (auf bezogener Fehler kleiner als 0,02) erfolgen:
\[
\hat{\xi}_{0{,}965} = -2{,}47 \cdot \left( \frac{\sigma}{\bar{x}} \right)^{0{,}67} + 2{,}505 \cdot \left( \frac{\sigma}{\bar{x}} \right)^{3{,}5} + 3{,}1711 \tag{2.19}
\]
\[
\hat{\xi}_{0{,}18} = 0{,}18 \cdot \left( \frac{\sigma}{\bar{x}} \right)^{3{,}236} + 0{,}0028
\]
Für \(\frac{\sigma}{\bar{x}} \ge 3\) erfolgt die Berechnung der Streubereichsgrenzen nach Formel (2.11).
### Streubereichsgrenzen der Betragsverteilung 2. Art:
Zur Ermittlung der Streubereichsgrenzen für eine Betragsverteilung 2. Art (siehe auch Beispiel 2 im Abschnitt 5) werden zunächst nach Formel (2.6) und (2.7) bzw. (2.9) und (2.10) die Kenngrößen \(\mu\) und \(\sigma\) geschätzt. Für den Fall \(|\sigma| < 6\) werden dann aus den geschätzten Kenngrößen \(\mu\) und \(\sigma\) die gesuchten Parameterwerte \(z\) und \(\alpha_n\) der anzupassenden Betragsverteilung 2. Art in der folgenden Weise ermittelt:
Aus den Gleichungen (1.14) und (1.16) erhält man die Funktion
\[
\frac{\bar{\sigma}}{\bar{n}} = v = \sqrt{2} \cdot \frac{\hat{z}}{\sqrt{2\pi}} \int_0^{\frac{z}{\hat{\sigma}}} \left( \frac{1}{\sqrt{2}} e^{-\frac{\alpha^2}{2}} \right) d\alpha \cdot dv \tag{2.20}
\]
wobei
\[
v = \frac{r}{\bar{n}} \tag{2.21}
\]
Mit Gleichung (1.17) ergibt sich daraus die Funktion
\[
\frac{\bar{\sigma}}{\bar{n}} = \sqrt{2} \cdot \hat{z} \left( \frac{\hat{z}}{\bar{\sigma}} - \sqrt{2} \cdot \frac{(\hat{z})^2 - \bar{\sigma}}{\bar{n}} \right) \tag{2.22}
\]
Aus den Gleichungen (1.20) und (1.21) ergibt sich die Bedingung
\[
\frac{\bar{\sigma}}{r} = \frac{\sqrt{4}}{\pi} = 1{,}9131 \tag{2.23}
\]
```
Image Analysis:
### Detailed Examination of the Visual Content
1. **Localization and Attribution:**
- **Image Position and Numbering:**
- This content consists of a single page with multiple sections but no subdivided images. Therefore, it is referred to as **Image 1**.
2. **Text Analysis:**
- **Extracted Text:**
- The page is titled "Seite 13 VW 101 30: 2005-02."
- The content primarily consists of mathematical formulae and explanations related to the concepts of statistical error boundaries, specifically dealing with "Kenngrößen" (characteristics), "Streuereichsgrenzen" (scatter range boundaries), and related parameters.
- The following text blocks and formulae are extracted:
- Equation (2.18) for direct determination:
\[
ξ_β \left( \frac{\tilde{A}}{\widetilde{σ}} \right) = 1.64 \left( \frac{\tilde{A}}{\widetilde{σ}} - 1.3236 \right) + 0.634 \left( \frac{\tilde{A}}{\widetilde{σ}} - 1.3236 \right)^{0.365} + 1.635
\]
- Equation (2.19) involving Scatter Range Boundaries:
\[
\begin{aligned}
λ_{95.865} \left( \frac{\tilde{A}}{\widetilde{σ}} \right) &= -2.47 \left( \frac{\tilde{A}}{\widetilde{σ}} - 1.3236 \right) + 2.505 \left( \frac{\tilde{A}}{\widetilde{σ}} - 1.3236 \right)^{0.687} + 5.3711\\
λ_{0.135} \left( \frac{\tilde{A}}{\widetilde{σ}} \right) &= 0.018 \left( \frac{\tilde{A}}{\widetilde{σ}} - 1.3236 \right) + 0.0028
\end{aligned}
\]
- Further mathematical functions and derivations presented in Equations (2.20), (2.21), and (2.22):
\[
\frac{\mu}{\sigma_N} = \langle V R Z \rangle
\]
- Where variables such as \( \langle V R Z \rangle \) and related parameters are defined.
- Final solution equation (2.23):
\[
\frac{\tilde{μ}}{\sigma} = 1.9131
\]
3. **Anomaly Detection:**
- **Possible Anomalies:**
- There do not appear to be any obvious anomalies or unusual elements in the image. The text and equations are presented in a formal and structured manner, typical of technical or scientific documentation.
4. **Color Analysis:**
- **Color Composition:**
- The image is primarily black and white with shades of gray. The text and mathematical formulae are in black, while the background is white, which is standard for documents of this type.
5. **Perspective and Composition:**
- **Perspective:**
- The document uses a straight-on perspective, typical for reading or analyzing written content.
- **Composition:**
- The content is organized into structured blocks with headings and equations neatly arranged, facilitating understanding and readability.
6. **Contextual Significance:**
- **Document Context:**
- This document appears to be from a technical or scientific report dealing with statistical methods to determine error boundaries in a specific parameterization.
- The information is likely used to provide detailed methodologies for calculating error margins and scatter range boundaries for specific statistical parameters within a defined precision.
7. **Prozessbeschreibungen (Process Descriptions):**
- **Process Descriptions:**
- The document describes processes for calculating statistical error boundaries and scatter ranges, likely contributing to understanding the reliability and variability of certain parameters in a technical or engineering context.
8. **Tables:**
- **Table Descriptions:**
- No tables are present in the visual content provided.
### Summary
The given visual content is a single page from a technical document, likely a scientific or engineering manual, focused on statistical error boundary calculations for specific parameters. It contains detailed mathematical formulae and explanations aimed at determining and adjusting error margins and scatter ranges to ensure precision in measurements or assessments. The document is formally structured with clear, black and white text, following a standardized format typical of technical documentation.
####################
File: VW%2010130_DE.pdf
Page: 14
Context: # Seite 14
**VW 101 30: 2005-02**
Die gesuchten Parameterwerte der Betragsverteilung 2. Art lassen sich somit unter der Bedingung (2.23) durch
$$
\bar{d}_N = \bar{d} \cdot \left(1 + \left(\frac{\mu}{\sigma}\right)^2\right)^{\frac{1}{2}} \cdot \left(2 + \left(\frac{\varepsilon}{\sigma}\right)^2\right)^{\frac{1}{2}} \tag{2.24}
$$
$$
\bar{z} = \xi = \left(\frac{\mu}{\sigma}\right) \cdot \bar{d}_N \tag{2.25}
$$
schätzen, wobei
$$
\bar{\xi}_{22} = \text{inverse Funktion von (2.22)}
$$
Für den Fall, dass das Verhältnis $\frac{\mu}{\sigma}$ aufgrund von Zufallsabweichungen der Stichprobenkenngrößen kleiner ist als der Grenzwert 1,9131 aus der Bedingung (2.23), wird das Verhältnis $\frac{\mu}{\sigma}$ auf diesen Grenzwert gesetzt, bei dem sich die folgenden Parameterwerte ergeben:
$$
\bar{z} = 0 \quad \text{und nach Formel (1.21)}
$$
$$
\bar{d}_N = \frac{\sqrt{2}}{4 \cdot \pi} \cdot \bar{d} = 1,526 \cdot \bar{d} \tag{2.26}
$$
Der Zusammenhang zwischen den Parameterwerten z und $\bar{d}$ der Betragsverteilung 2. Art und den statistischen Kennwerten $\mu$ und $\sigma$ ist in Bild 7 auf bezogen grafisch dargestellt.
**Bild 7 - Relative Parameterwerte der Betragsverteilung 2. Art in Abhängigkeit von der relativen Lage**
Image Analysis:
### Image Analysis:
#### 1. Localization and Attribution:
- **Image 1**: Located in the lower half of the page.
- There is a single image on the page (graph).
#### 2. Object Detection and Classification:
- **Image 1**: Contains a graph with x and y axes, curves, and annotations.
#### 4. Text Analysis:
- **Upper text**: Contains mathematical formulas and explanatory text related to parameter values for a certain type of distribution.
- Example Formula from the Text: \[\sigma_N = \sigma \cdot \sqrt{ 1 + \left(\frac{\mu}{\sigma}\right)^2 }\]
- **Graph Title**: "Relative Parameterwerte der Betragsverteilung 2. Art in Abhängigkeit von der relativen Lage"
- Translation: "Relative parameter values of the distribution of type 2 depending on the relative position."
- **Axes Labels**:
- **X-Axis**: "relative Lage \(\mu / \sigma\)"
- Translation: "relative position \(\mu / \sigma\)"
- **Y-Axis**: "relativer Verteilungsparameter"
- Translation: "relative distribution parameter"
- **Curve Labels**:
- \( Z / \sigma \)
- \( \sigma_N / \sigma \)
#### 5. Diagram and Chart Analysis:
- **Axes**:
- **X-Axis Range**: 1.5 to 6.0 with major ticks at intervals of 0.5.
- **Y-Axis Range**: 0 to 7 with major ticks at intervals of 1.
- **Curves**:
- **Z / σ Curve**: Indicates a rising trend, steepening with increasing values of \( \mu / \sigma \)
- **σN / σ Curve**: Represents a more gently rising curve compared to \( Z / \sigma \)
#### 12. Graph and Trend Analysis:
- **Trends**:
- As the relative position \(\mu / \sigma\) increases, both \( Z / \sigma \) and \( \sigma_N / \sigma \) increase, but at different rates, with \( Z / \sigma \) having a steeper slope.
- **Significance**:
- The graph communicates how different relative distribution parameters vary with the relative position of \(\mu\) to \(\sigma\), which would be crucial for understanding the behavior of distribution parameters in statistical models.
#### 13. Graph Numbers:
- Specific data points aren't plotted/numeric on the graph, but the curves show continuous increases within plotted ranges.
#### Additional Aspects:
- **Prozessbeschreibungen (Process Descriptions)**:
- The text explains the methodology for estimating parameter values based on given conditions, providing a detailed process for deriving certain statistical measures.
In summary, the page is a detailed explanation of statistical parameter calculations for a specific type of distribution, augmented with a graph that visualizes the relationship between these parameters and the relative position of certain variables. This detailed mathematical breakdown supports statistical analysis and interpretation within the context provided.
####################
File: VW%2010130_DE.pdf
Page: 15
Context: # Seite 15
VW 101 30: 2005-02
Für die angepasste Betragsverteilung 2. Art lassen sich dann die Streubereichsgrenzen numerisch ermitteln, deren Abhängigkeiten von der relativen Lage in Bild 8 dargestellt sind.
## Dynamik der Streubereichsgrenzen
Zur direkten Ermittlung der Kenngröße \( z \) und \( \sigma_N \) aus den Kenngrößen \( \mu \) und \( \sigma \) kann für \( 1,9131 \leq \frac{\mu}{\sigma} < 6 \) auch die folgende Näherung als inverse Funktion von (2.22) mit ausreichender Genauigkeit (auf \( \varepsilon \) bezogener Fehler kleiner als 0,02) verwendet werden:
\[
\hat{z}_{22} \left( \frac{\mu}{\sigma} \right) = 2.1 \left( \frac{\mu}{\sigma} - 1.9131 \right)^{0.343} + 0.466 \left( \frac{\mu}{\sigma} - 1.9131 \right)^{1.22} \tag{2.27}
\]
Zudem kann die Ermittlung der Streubereichsgrenzen für \( 1,9131 \leq \frac{\mu}{\sigma} < 6 \) direkt mit Hilfe der folgenden Näherung (auf \( \varepsilon \) bezogener Fehler kleiner als 0,03) erfolgen:
\[
\hat{x}_{90.9605} = 2.6 \cdot \exp \left( -1.64 \left( \frac{\mu}{\sigma} - 1.9131 \right)^{0.92} + 2.07 \left( \frac{\mu}{\sigma} - 1.9131 \right)^{0.9} + 5.5485 \right) \tag{2.28}
\]
\[
\hat{x}_{0.136} = 2.6 \cdot \exp \left( - \left( \frac{\mu}{\sigma} - 1.7031 \right) \cdot 0.8 \right) + 1.425 \left( \frac{\mu}{\sigma} - 1.9131 \right)^{0.9} - 2.1206
\]
Für \( \frac{\mu}{\sigma} \geq 6 \) erfolgt die Berechnung der Streubereichsgrenzen nach Formel (2.11).
Image Analysis:
### Analysis of Attached Visual Content
#### 1. **Localization and Attribution:**
- **Image Number:** Image 1
- **Location:** Single image occupying the entire page.
#### 2. **Object Detection and Classification:**
- **Objects Identified:**
- A graph
- Text
- Mathematical equations/formulas
#### 3. **Scene and Activity Analysis:**
- **Entire Scene Description:**
- The image contains a graph and accompanying mathematical explanations along with specific numerical formulas relevant to the content.
- **Main Activities:**
- Presentation of data through a graph.
- Calculation methods and formulas are displayed below the graph.
#### 5. **Diagram and Chart Analysis:**
- **Graph Analysis:**
- **Title:** Bild 8 - Relative Streubereichsgrenzen der Betragsverteilung 2. Art in Abhängigkeit von der relativen Lage
- **Axes:**
- X-axis: relative Lage μ/σ (range from 1.5 to 6.0)
- Y-axis: relative Streubereichsgrenze (range from 0 to 9)
- **Trends/Insights:**
- As the relative Lage μ/σ increases, the relative Streubereichsgrenze slightly increases.
- Two specific proportions are marked:
- X_99,865% / c
- X_0,135% / c
#### 4. **Text Analysis:**
- **Text Extracted:**
- Title: "Für die angepasste Betragsverteilung 2. Art lassen sich dann die Streubereichsgrenzen numerisch ermitteln, deren Abängigkeiten von der relative Lage in Bild 8 dargestellt sind."
- Additional Text: Descriptions related to direct determinations of boundary values and numerical methods.
- Equations: Various equations provided for calculating Streubereichsgrenzen.
- **Contextual Significance:**
- The text alongside the graph explains methods to determine specific boundary values and emphasizes the accuracy and direct calculation methods.
#### 12. **Graph and Trend Analysis:**
- **Trends Identified:**
- The graph reflects a relatively linear increase in relative boundary limits with respect to the relative location.
- Specific markers (X_99.865% / c and X_0.135% / c) delineate upper and lower limits.
### **Additional Aspects Covered**
#### **Ablaufprozesse (Process Flows):**
- No process flows depicted.
#### **Prozessbeschreibungen (Process Descriptions):**
- Detailed descriptions of the equations and their applications in calculating boundary values are provided.
#### **Typen Bezeichnung (Type Designations):**
- Types specified include specific relative boundaries and various formulae representations (inverse functions etc.).
#### **Tables:**
- No tables are included or described in the attached visual content.
#### **Trend and Interpretation:**
- The graph suggests the boundary values increase with the relative location. The accompanying descriptive text and formulas provide methods to achieve accurate calculations and illustrate how boundaries can be determined numerically based on given parameters.
### **Summary**
The document appears to be a technical paper focusing on statistical boundary calculations for a specific distribution (Betragsverteilung 2. Art), providing both graphical and mathematical analyses. The graph facilitates better understanding by visualizing how relative boundary limits scale with relative location parameters (μ/σ), supported by detailed formulas for precise data derivation.
####################
File: VW%2010130_DE.pdf
Page: 16
Context: ```
## 3.2.2 Fähigkeitsermittlung bei nicht definierten Verteilungsmodellen
Lässt sich einem Fertigungsmerkmal kein passendes Verteilungsmodell zuordnen, oder widersprechen die Messwerte der entnommenen Stichprobe dem angenommenen Verteilungsmodell, so erfolgt eine verteilungsfreie Schätzung der Fähigkeitskenngröße nach der Spannweitenmethode in der folgenden modifizierten Form unter Berücksichtigung des Stichprobenumfangs (siehe auch Beispiel 1 in Abschnitt 5):
### Fähigkeitskenngr Werte für zweisseitig toleriertes Merkmal:
\[
\hat{c}_m = \frac{G_o - G_u}{\bar{x} - \bar{x}_u} \tag{2.29}
\]
\[
\hat{c}_{mk} = \min \left( \frac{G_o - \bar{x}_o}{\bar{x} - \bar{x}_{95}}, \frac{\bar{x} - G_l}{\bar{x}_{95} - \bar{x}_o} \right) \tag{2.30}
\]
### Fähigkeitskenngr Werte für einseitig nach oben toleriertes Merkmal mit natürlichem unteren Grenzwert Null:
\[
\hat{c}_m = \frac{G_o}{\bar{x} - \bar{x}_u} \tag{2.31}
\]
\[
\hat{c}_{mk} = \frac{G_o - \hat{x}_{95}}{\bar{x} - \hat{x}_{95}} \tag{2.32}
\]
### Fähigkeitskenngr Werte für einseitig nach unten toleriertes Merkmal:
\[
\hat{c}_{mk} = \frac{\hat{x}_{95} - G_l}{\hat{x}_{95} - \bar{x}_u} \tag{2.33}
\]
wobei
- \(\bar{x}_o, \bar{x}_u\) : Schätzwerte der oberen und unteren Streubereichsgrenze
- \(\hat{x}_{95}\) : Schätzwert des 50%-Quantils
Im Fall von Einzelwerten ist
\[
\hat{x}_{95} = \bar{x} \tag{2.34}
\]
wobei
\(\bar{x} \): Medianwert, der Wert, der in der Mitte einer geordneten Folge von Messwerten liegt.
Die Schätzung der Streubereichsgrenzen erfolgt durch
\[
\bar{x}_o \ \bar{x}_u = \bar{x}_c \pm k \cdot \frac{R}{2} \tag{2.35}
\]
wobei
```
Image Analysis:
Here’s a comprehensive examination of the attached visual content based on the specified aspects:
### Text Analysis
1. **Localization and Attribution:**
- **Page Number and Document Identifier:**
- "Seite 16" (Page 16)
- "VW 101 30: 2005-02" (Document Identifier: VW 101 30, February 2005)
2. **Text Extraction:**
- **Section Title:**
- "3.2.2 Fähigkeitsermittlung bei nicht definierten Verteilungsmodellen"
- **Introduction Paragraph:**
- "Lässt sich einem Fertigungsmerkmal kein passendes Verteilungsmodell zuordnen, oder widersprechen die Messwerte der entnommenen Stichprobe dem angenommenen Verteilungsmodell, so erfolgt eine wertungsfreie Schätzung der Fähigkeitskennwerte nach der Spannweitenmethode in der folgenden modifizierten Form unter Berücksichtigung des Stichprobenumfangs"
**Explanatory Notes:**
- Text clarifies that the section covers methods to estimate capability indices when no predefined distribution models are available, using a range-based method considering sample size.
3. **Equations and Descriptions:**
- Several equations labeled from (2.29) to (2.35) describe calculations for capability indices. Here are brief descriptions:
1. **Equation (2.29) and (2.30):**
- Capability indices for two-sided tolerances.
- Equations detail how to compute capability when upper and lower specification limits are available.
2. **Equation (2.31) and (2.32):**
- Capability indices for one-sided characteristics with a natural lower bound zero.
- Details on how to compute capability when only the lower specification limit is present.
3. **Equation (2.33):**
- Capability index for one-sided characteristics with a defined lower limit.
- Detailed computation for such cases.
4. **Equation (2.34):**
- Explains the median value (x̄) as the central value of a sorted series of measurements.
5. **Equation (2.35):**
- Estimates of the upper and lower range limits considering standard deviation and mean.
**Annotation (5):**
- Provides additional context about simplified representations for compatibility with previous VW methods.
### Diagram and Chart Analysis
4. **Diagram and Chart Analysis:**
- No diagrams or charts are present in the document image.
### Produkt Analysis
5. **Product Analysis:**
- No specific products are depicted.
### Anomaly Detection
6. **Anomaly Detection:**
- No anomalies or unusual elements detected in the image. All elements seem to be standard for technical documentation.
### Color Analysis
7. **Color Analysis:**
- The document is largely monochromatic, consisting of black text on a white background. This high-contrast color scheme is standard for technical and academic papers, aiding readability and focus on the content without distractions.
### Perspective and Composition
8. **Perspective and Composition:**
- **Perspective:**
- The image is taken from a flat, straightforward perspective typical of scanned or digitally created documents.
- **Composition:**
- The text is arranged in a structured, left-justified format, enhancing readability and clarity.
- Equations are properly formatted and placed in-line, making them easy to follow.
### Contextual Significance
9. **Contextual Significance:**
- **Overall Document:**
- This section likely belongs to a larger document discussing quality control and capability assessment methods in manufacturing processes.
- The equations and explanations are significant for professionals dealing with quality assurance, ensuring accurate capability measurements.
### Metadata Analysis
10. **Metadata Analysis:**
- No metadata is visible within the provided image.
### Tables
11. **Tables:**
- No tables are present in the image.
This organized analysis covers the textual and visual elements present in the provided document image, focusing on content extraction and contextual understanding.
####################
File: VW%2010130_DE.pdf
Page: 17
Context: ```markdown
x_c = \frac{x_{max} + x_{min}}{2} (2.36)
R = x_{max} - x_{min} : \text{ Spannweite} (2.37)
x_{max} , x_{min} : \text{ maximaler bzw. minimaler Messwert der effektiven Gesamtstichprobe}
\text{Durch den Korrekturfaktor}
k = \frac{6}{d_n} ; (2.38)
\text{wird dabei der effektive Stichprobenumfang } n_e \text{ berücksichtigt, wobei}
d_n : \text{ Erwartungswert der w-Verteilung}^\dagger
\text{Für einige Stichprobenumfänge } n_e \text{ ist der Wert } d_n \text{ in Tabelle 1 angegeben.}
\begin{table}[h]
\centering
\caption{Erwartungswert der w-Verteilung in Abhängigkeit von n_e}
\begin{tabular}{|c|c|}
\hline
\textbf{n_e} & \textbf{d_n} \\
\hline
20 & 3,74 \\
25 & 3,93 \\
30 & 4,09 \\
35 & 4,21 \\
40 & 4,32 \\
45 & 4,42 \\
50 & 4,50 \\
\hline
\end{tabular}
\end{table}
\text{Für Stichprobenumfänge, die größer als 20 sind, können die Erwartungswerte der w-Verteilung nach der folgenden Näherungsformel ermittelt werden:}
d_n = 1,748 \cdot \left(\ln(n_e)\right)^{-0.683} (2.39)
\text{Im Fall einer Häufigkeitsverteilung klassierter Messwerte ist}
\bar{x}_0, \bar{x}_u \text{ gleich obere Grenze bzw. Untergrenze der obersten bzw. untersten besetzten Klasse}
\text{und}
\hat{x}_{n95} = \bar{x}_k + \frac{n/2 - A_k}{a_k} \cdot \Delta x \text{ für } A_k < \frac{n}{2} \leq A_k + a_k (2.40)
\text{wobei}
\begin{align*}
x_L & : \text{ untere Grenze der k-ten Klasse} \\
\Delta x & : \text{ Klassenbreite} \\
a_k & : \text{ absolute Häufigkeit der Messwerte in der k-ten Klasse} \\
A_k & : \text{ absolute Summenhäufigkeit der Messwerte bis zur untere Grenze der k-ten Klasse}
\end{align*}
\text{(6) Strenggenommen wird für den Erwartungswert der w-Verteilung eine normalverteilte Grundgesamtheit der Einzelwerte vorausgesetzt. In Ermanglung einer geeigneten Methode für die verlaufsklassierte Berechnung der Fähigkeitsklassenkennwerte wird aber dieses Vorwissen nicht berücksichtigt.}
```
Image Analysis:
### Analysis of the Attached Visual Content
#### 1. Localization and Attribution:
- **Image 1**: This is the only image on the page, so it’s not necessary to number it in this context.
#### 4. Text Analysis:
- **Equations and Text**:
- Multiple mathematical equations are present; they seem to define statistical measures and corrections.
- The variables and symbols are related to effective sample sizes, correction factors, and range calculations.
- Equations:
- \( x_c = \frac{x_{max} + x_{min}}{2} \)
- \( R = x_{max} - x_{min} \)
- \( k = \frac{6}{d_n} \)
- \( d_n = 1.748 - (\ln(n_e))^{0.863} \)
- **Details from Text**:
- Definitions provided next to the equations explain the terms like "Spannweite” (range), “maximaler” (maximum), and “minimaler” (minimum) Gross value.
- Specificiations for the effective sample size and correction factors.
- Explanation for calculating the effective distribution (w-Verteilung) when sample sizes are greater than 20.
#### 5. Diagram and Chart Analysis:
- **Table Analysis**:
- **Table 1 - Erwartungswert der w-Verteilung in Abhängigkeit von \(n_e\)**:
- This table highlights the values of \(d_n\) for different effective sample sizes \(n_e\).
- **Columns**:
- \(n_e\): Effective sample sizes listed (20, 25, 30, 35, 40, 45, 50).
- \(d_n\): Corresponding expectation values for the w-distribution (ranging from 3.74 to 4.50).
#### 12. Graph and Trend Analysis:
- **Interpretation of Data Points**:
- As \(n_e\) increases, the expectation value \(d_n\) also increases, indicating a trend that larger sample sizes are associated with higher expectation values of w-distribution.
#### 16. Tabellen (Tables):
- **Content and Data**:
- The table details the relationship between sample sizes and corresponding expectation values.
- Numerical data for different sample sizes and their contrasts can be observed.
#### 17. Prozessbeschreibungen (Process Descriptions):
- **Process for Calculating Expectation Values**:
- The expectation values for sample sizes greater than 20 can be approximated using a formula:
- \(d_n = 1.748 - (\ln(n_e))^{0.863}\)
- **In Case of Frequency Distribution of Classified Measured Values**:
- Detailed rules are given for calculating the expected range of values.
Overall, this image presents detailed statistical information related to effective sample sizes, the calculation of w-distribution expectations, and associated correction factors. The formulas and tables provide a structured methodology for these calculations.
####################
File: VW%2010130_DE.pdf
Page: 18
Context: # 3.3 Grenzwerte zur Maschinenfähigkeit
Zur Erlangung der Maschinenfähigkeit für ein betrachtetes Merkmal müssen die ermittelten Fähigkeitskenwerte folgende Forderung bezüglich festgelegter Grenzwerte \( c_{m,max} \) und \( c_{m,min} \) erfüllen:
- **zweiseitig toleriertes Merkmal:**
\[
\hat{c}_{m,max} \geq c_{m,max} \quad \text{und} \quad \hat{c}_{m,min} \leq c_{m,min} \tag{3.1}
\]
- **einseitig toleriertes Merkmal\(^7\)**
\[
\hat{c}_{m,max} \geq c_{m,min} \tag{3.2}
\]
bei einem effektiven Stichprobenumfang von \( n_e \geq 50 \).
Sofern nichts anderes vereinbart, gelten folgende Fähigkeitsgrenzwerte:
\[
c_{m,max} = 2,0
\]
\[
c_{m,min} = 1,67
\]
In Fällen, in denen unter vertretbarem Aufwand nur eine Untersuchung mit einem kleineren effektiven Stichprobenausgang als 50 möglich ist, muss der daraus folgenden größeren Unsicherheit der ermittelten Fähigkeitskenngröße durch entsprechend größere Grenzwerte wie folgt Rechnung getragen werden.
Die Ermittlung der Grenzwerte für effektive Stichprobeneinheiten kleiner als 50 wird dabei auf die Grenzwerte bezogen, die sich aus der Forderung (3.1) oder (3.2) für die zu untersuchende Grundgesamtheit mit 95%-iger Wahrscheinlichkeit einhalten lassen (unter Vertrauensbereichsgrenzen). Diese Ergebnisse sich unter der Annahme einer normalverteilten Grundgesamtheit aus der oberen Vertrauensbereichsgrenze der Standardabweichung:
\[
\sigma_s = \frac{\hat{c} - \overline{X}}{\sqrt{2\, \sigma_{R}^2}} \tag{3.3}
\]
und dem statistischen Anteisbereich für die Fertigungsstreuung:
\[
x_{90,865} \quad \text{bis} \quad x_{10,135} \approx \hat{X}_{99,865} \pm \left(1 + \frac{1}{2 \cdot 50}\right) \cdot \sqrt{\frac{49}{2 \cdot 5.49}} \tag{3.4}
\]
wobei
\[
\hat{X}_{99,865} = 3,0: \quad \text{Quantil der standardisierten Normalverteilung}
\]
\[
\chi^{2}_{k=49} = 33,93: \quad \text{Quantil der Chiquare-Verteilung bei einem Freiheitsgrad von } f = 49 \, (\text{siehe auch [1]})
\]
Image Analysis:
### Image Analysis
**Localization and Attribution:**
- **Image 1:** The entire page consists of one image containing text and mathematical equations relevant to the subject matter.
**Text Analysis:**
- **Detected Text:** The content of the text is in German and discusses threshold values for machine capability, focusing on statistical parameters and formulas.
- **Significant Content:**
- **Section Title:** "3.3 Grenzwerte zur Maschinenfähigkeit"
- **Subtitles and Formulas:**
- "zweiseitig toleriertes Merkmal:" with corresponding formulas (3.1)
- "einseitig toleriertes Merkmal" with corresponding formula (3.2)
- Capability index thresholds (e.g., \(c_{mk,\text{Grenz}} = 1,67\))
- Formula explanations and statistical quantiles (3.3, 3.4)
- **Text in Fine Print:** There is a footnote marked as "7)" providing additional context about the applicability of machine capability parameters.
**Diagram and Chart Analysis:**
- **Diagram/Chart Content:**
- **Formula Analysis:**
- The formulas described include:
- Derivations for two-sided and one-sided tolerances.
- The effective sample sizes.
- Calculation of the standard deviation's confidence limit.
- **Formula Notations:**
- \( \hat{c}_m \), \( \hat{c}_{mk} \), \( \hat{\sigma} \), quantiles such as \( \tilde{U}_{99,865\%} \) and \( \chi_{\nu, 95\%}^{2} \).
- These formulas are essential for determining process capability indices.
**Contextual Significance:**
- **Significance in the Document:**
- This image is a part of a larger technical document, possibly a standard or a guideline (indicated by "VW 101 30: 2005-02").
- The formulas and explanations are vital for practitioners in manufacturing and quality assurance to determine the capability of their machines in meeting specified tolerances.
**Ablaufprozesse (Process Flows):**
- **Described Process Flows:**
- The text details the process of calculating threshold values for machine capabilities using statistical parameters and effective sample sizes.
- It also includes methods for handling smaller sample sizes by adjusting confidence limits.
**Prozessbeschreibungen (Process Descriptions):**
- The process described includes:
- Determining capability index thresholds for machines.
- Using statistical methods to allow for uncertainties when sample sizes are small.
- Ensuring that the results fall within a 95% confidence interval under a normal distribution assumption.
**Typen Bezeichnung (Type Designations):**
- **Types/Categories Specified:**
- Multiple quantitative tolerance types (e.g., two-sided/one-sided).
- Different specific capability indices thresholds (\(c_{mk, \text{Grenz}}\)).
**Trend and Interpretation:**
- **Identified Trends:**
- Increasing stringency in capability indices as effective sample sizes decrease.
- The document emphasizes adherence to statistical confidence limits to ensure reliability.
**Tables:**
- **Content of the Footnote/Table:**
- The footnote provides additional clarification about the values used for capability indices and their interpretation.
**Conclusion:**
The image primarily provides in-depth technical guidelines and statistical formulas crucial for assessing machine capability in manufacturing settings. It lays out the quantitative measures and the statistical boundary conditions required for determining the capability indices under different tolerance conditions, ensuring compliance with high reliability and confidence intervals.
####################
File: VW%2010130_DE.pdf
Page: 19
Context: # Durch Umformen und Einsetzen in die Auswerteformeln (2.1) und (2.2) ergeben sich daraus die Fähigkeitsgrenzenwerte für die Grundgesamtheit
\[
c_m \geq c_{\text{m,grenz}} \; = \; 0.832 \cdot c_{\text{m,grenz}} \tag{3.5}
\]
\[
c_m \geq c_{\text{m,grenz}} \; = \; 0.824 \cdot c_{\text{m,grenz}} \tag{3.6}
\]
Somit ergeben sich für effektive Stichprobumfänge \( n_e < 50 \) folgende angepasste Fähigkeitsgrenzenwerte:
\[
c_m \geq c_{\text{m,grenz}} \; = \; 0.832 \cdot \left( \frac{f}{\sqrt{2 \cdot k}} \right) \tag{3.7}
\]
\[
\hat{c}_{mk} \geq c_{\text{m,grenz}} \; = \; 0.824 \cdot \left( 1 + \frac{1}{2 - n_e} \right) \cdot \frac{f}{\sqrt{2 \cdot k}} \tag{3.8}
\]
mit dem Freiheitsgrad
\[
f = n_e - 1 \tag{3.9}
\]
## Beispiel:
Bei festgelegten Fähigkeitsgrenzenwerten von \( c_{\text{m,grenz}} = 2.0 \), \( c_{\text{mk,grenz}} = 1.67 \) und einem effektiven Stichprobenumfang von \( n_e = 20 \) ergeben sich nach den Formeln (3.7) bis (3.9) die folgenden angepassten Grenzwerte für ein zweistufig toleriertes Merkmal:
\[
\hat{c}_m \geq 2.0 \cdot 0.832 \cdot \sqrt{\frac{20-1}{10.1}} = 2.28
\]
\[
\hat{c}_{mk} \geq 1.67 \cdot 0.824 \cdot \left( 1 + \frac{1}{2 - 20} \right) \cdot \frac{20 - 1}{10.1} = 1.93
\]
> 9) Die Ermittlung der angepassten Fähigkeitsgrenzenwerte mit Hilfe der Formeln (7) bis (14) wird nicht für nicht normalverteilte Grundgesamtheiten verwendet, da es für diese zur Zeit keine anderen Methoden gibt und damit zumindest eine brauchbare Berücksichtigung eines Stichprobumfanges erfolgt, der kleiner als 50 ist.
Image Analysis:
### Image Analysis of Provided Content
#### Image 1 (Single Page Document)
1. **Localization and Attribution:**
- Single image on the page, identified as Image 1.
2. **Text Analysis:**
- **Detected Text:**
- Main text includes a series of formulas and an example problem.
- Title at the top right corner of the page: "Seite 19 VW 101 30: 2005-02"
- Introduction Paragraph:
```
Durch Umformen und Einsetzen in die Auswerteformeln (2.1) und (2.2) ergeben sich daraus die
Fähigkeitsgrenzwerte für die Grundgesamtheit
```
- Formulas (numbered 3.5 to 3.9) are presented in equations format.
- Beispiel (Example):
```
Bei festgelegten Fähigkeitsgrenzwerten von cm,grenz = 2.0 , cmk,grenz =1.67 und einem effektiven
Stichprobenumfang von ne = 20 ergeben sich nach den Formeln (3.7) bis (3.9) die folgenden ange-
passen Grenzwerte für ein zweiseitig toleriertes Merkmal:
```
- Two example calculations are shown for \( \hat{cm} \) and \( \hat{cmk} \).
3. **Diagram and Chart Analysis:**
- No diagrams or charts are present in the image.
4. **Object Detection and Classification:**
- Objects detected: Primarily text and equations, no other discernible objects.
5. **Scene and Activity Analysis:**
- The entire scene depicts a mathematical and statistical analysis context.
- The activity involves displaying formulas and an example for determining capability indices (capability limits) for statistical process control.
6. **Typen Bezeichnung (Type Designations):**
- The document discusses capability indices \( cm \) and \( cmk \) which are types of statistical measures used in quality control.
7. **Prozessbeschreibungen (Process Descriptions):**
- The process described involves converting and substituting equations to derive capability limits for general populations.
- The document gives details on how to calculate effective sample capability indices for sample sizes less than 50.
8. **Trend and Interpretation:**
- The formulas and example calculations guide the reader to understand the trend of how capability indices are affected by certain parameters and sample sizes.
- It illustrates the necessity to adjust indices based on the sample size and degrees of freedom.
9. **Tables:**
- No tables are present in the image.
10. **Contextual Significance:**
- The image appears to be a detailed page from a technical manual or standards document.
- It contributes to the overall theme of statistical quality control by providing key formulas and examples for practical use.
### Summary
This document page provides detailed formulas for adjusting capability indices for given sample sizes in statistical quality control. Additionally, it includes a practical example to illustrate the application of these formulas. The content primarily involves text and mathematical equations with a strong focus on explaining and demonstrating the process of adjusting statistical capability limits. There are no diagrams, charts, or tables present in this image.
####################
File: VW%2010130_DE.pdf
Page: 20
Context: # 3.4 Statistische Tests
Die Messwerte einer Maschinenfähigkeitsuntersuchung dürfen in der Regel keine
- unerwartet große Abweichung einzelner Messwerte (Ausreißer) gegenüber der Streuung der anderen Messwerte,
- signifikante Änderung der Fertigungslage während der Stichprobenentnahme und
- signifikante Abweichung vom erwarteten Verteilungsmodell
aufweisen. Andernfalls ist mit zusätzlichen systematischen Einflüssen auf die Fertigung zu rechnen. Für dieses Verhalten sollten dann die Ursachen bekannt und deren Wirkung akzeptabel sein, um die Voraussetzung eines sicheren Fertigungsprozesses zu erfüllen.
Zur Überprüfung der oben genannten Kriterien sind daher bei einer Maschinenfähigkeitsuntersuchung entsprechende statistische Tests anzuwenden. Da diese Tests in Normen und Standardswerken der Statistikliteratur ausführlich beschrieben sind, werden sie im Folgenden nur mit Verweisen angegeben:
Folgende Tests sind im Rahmen einer Maschinenfähigkeitsuntersuchung durchzuführen:
- **Test auf Ausreißer** mittels verlustunabhängigen Test nach Hampel in modifizierter Form (siehe VW 10133)
- **Test auf Änderung der Fertigungslage** mittels verlustunabhängigem Run-Test nach Swed-Eisenhärd (siehe [1])
- **Test auf Abweichung von der Normalverteilung** nach Epps-Pulley (siehe ISO 5479)
- **Test auf Abweichung von einem beliebig festgelegten Verteilungsmodell** mittels Chi-Quadrat-Test (siehe [1])
Die statischen Tests laufen alle nach dem folgenden Schema ab:
1. Aufstellen der **Nullhypothese** H₀ und der **Alternativhypothese** H₁, z.B.
- H₀: Die Grundgesamtheit der Messwerte des betrachteten Merkmals ist normalverzerrt.
- H₁: Die Grundgesamtheit der Messwerte des betrachteten Merkmals ist nicht normalverzerrt.
2. Festlegen der **Aussagewahrscheinlichkeit** γ = 1 - α oder **Irrtumswahrscheinlichkeit** α.
3. Aufstellen der Form für die **Prüfkörper**.
4. Berechnen des **Prüfwertes** aus den Stichprobenwerten nach der Prüfkörperformel.
5. Ermitteln des **Schwellenwertes** der Testreihe.
6. Vergleichen des Prüfwertes mit dem Schwellenwert zur Entscheidung, ob ein Widerspruch zur Nullhypothese vorliegt und damit die Alternativhypothese gilt.
Zu beachten ist, dass bei einem statistischen Test mit der angegebenen Aussagewahrscheinlichkeit γ gegebenenfalls nur im Widerspruch zur Nullhypothese nachgewiesen werden kann, z.B. wenn die signifikante Abweichung der Messwerte von einer normalverteilten Grundgesamtheit vorliegt. Ergibt sich aus dem Testergebnis kein Widerspruch zur Nullhypothese, so ist dies keine Bestätigung für die Gültigkeit der Nullhypothese. Es lässt sich also in diesem Fall mit der angegebenen Aussagewahrscheinlichkeit z.B. nicht nachweisen, dass eine normalverteilte Grundgesamtheit vorliegt. Man entscheidet sich dann in Analogie zum Rechtssprinzip 2 im Zweifel für den angenommene H₀: „lediglicher folgt die Annahme der Nullhypothese“.
Durch die Irrtumswahrscheinlichkeit α wird das Risiko angegeben, aufgrund des Testergebnisses die Nullhypothese zu verwerfen, obwohl sie zutrifft (α-Risiko). Für die Irrtumswahrscheinlichkeit kann nun aber nicht einfach ein beliebig kleiner Wert festgelegt werden, denn dadurch würde z.B. das Risiko steigen, eine tatsächliche Abweichung von einer Normalverteilung nicht zu entdecken (β-Risiko).
Image Analysis:
### Analysis of Image Content
#### 1. **Localization and Attribution**:
- **Image Number**: This is **Image 1** located at the top of the page.
####################
File: VW%2010130_DE.pdf
Page: 20
Context: #### 4. **Text Analysis**:
- **Extracted Text**:
```
Seite 20
VW 101 30: 2005-02
3.4 Statistische Tests
Die Messwerte einer Maschinenfähigkeitsuntersuchung dürfen in der Regel keine
- unerwartet große Abweichung einzelner Messwerte (Ausreißer) gegenüber der Streuung der anderen Messwerte,
- signifikante Änderung der Fertigungsanlage während der Stichprobenentnahme und
- signifikante Abweichung vom erwarteten Verteilungsmodell
aufweisen. Anderenfalls ist mit zusätzlichen systematischen Einflüssen auf die Fertigung zu rechen. Für
Dieses Verhalten sollten dann die Ursachen bekannt und deren Wirkung akzeptabel sein, um die Voraussetzung eines sicheren Fertigungsprozesses zu erfüllen.
Zur Überprüfung der oben genannten Kriterien sind daher bei einer Maschinenfähigkeits Untersuchung entsprechende statistische Tests anzuwenden.Da diese Tests in Normen und Standardwerken der Statistikliteratur ausdrücklich beschrieben sind, werden sie in folgenden nur mit Hinweise angegeben..
Folgende Tests sind im Rahmen einer Maschinenfähigkeitsuntersuchung durchzuführen:
- Test auf Ausreißer mittels verteilungsunabhängigen Test nach Hampel in modifizierter Form
(siehe VW 10133)
- Test auf Änderung der Fertigungsanlage mittels verteilungsunabhängigen Run-Testnach Swed-Eisenhard (siehe [1])
- Test auf Abweichung von der Normalverteilung nach Epps-Pulley (siehe ISO 5479)
- Test auf Abweichung von einem beliebigen festgelegten Verteilungsmodell mittels Chiquadrat-Test (siehe [1])
Die statistischen Tests laufen alle nach dem folgenden Schema ab:
-Aufstellen der Nullhypothese H0 und der Alternaibhypothese Hi ,z.B. Ho: Die Grundgesamtheit der Messwerte des betrachteten Merkmals ist nicht normalverteilt H1 : Die Grundgesamthe fit der Messwerte des betrachteten Merkmals ist nicht normalverteilt
- Festlegen der Aussaugewahrscheinlichkeit γ = F 1 - a oder Irrtumswahrscheinlichkeit α
- Aufstellen der Formel für die Prüfgröße
- Berechnen des Prüfwertes aus den Stichprobenwerten nach der Prüffiörsnen der
- Ermifn des Schwellenwertes des Testverteilung
- Vergleich des Prüfwertes mit dem Schwellenwert zur Entscheidung, ob ein Widerspruch zur Nullhypothese vorliegt und damit die Alternativhypothese gilt
Zu Beachten ist, dass bei einem statistischen Test mit der angegebenen Aussaugewahrscheinlichkeit g gegebenenfalls nur ein Widerspruch zur Nullhypothese nachgewiesen werden kann, z.B. es dass eine signifikante Abweichung der Messwerte von einer normalverteilten Grundgesamtheit vorliegt. Ergibt sich aus dem Testergebnis kein Widerspruch zur Nullhypothese, so 1st dies keine Bestätigung für die Gültigkeit der Nullhypothese. Es lässt sich also in diesen Fall mit der angegebenen Aussaugewahrscheinlichkeit z.B nicht nachweisen, dass eine normalverteilte Grundgesamtheit nie vorliegt. Man entscheidet sich dann in Analogie zum Testprinzip „Im Zweifel für den Angeklagten" lediglich für die Annahme der Nullhypothese.
Durch die Irrtumswahrscheinlichkeit W, wird das Risiko angegeben, aufgrund des Testergebnisses die Nullhypothese zu verwerfen, obwohl sie zutrifft (a-Risiko). Für dieIr Tumswahrscheinlichkeit kann nun aber nicht einfach ein beliebig kleiner Wert.festgelegt werden, denn dadurch würde z.B: das Risiko stiegen, eine tatsächliche Abweichung von einer Normalverteilung nicht zu entdecken (β-Risiko).
```
- **Text Analysis**:
This document seems to be a technical or academic text discussing statistical tests for a machine capability study. The following statistical tests are mentioned and described briefly:
- **Outlier Test**: Modified Hampel test.
- **Change of Production Facility Test**: Run-Test according to Swed-Eisenhard.
- **Deviation from Normal Distribution Test**: Epps-Pulley Test.
- **Deviation from a Specified Distribution Model**: Chi-Square Test.
The text also outlines the general schema for these statistical tests:
- Establishing the null hypothesis \( H_0 \) and alternative hypothesis \( H_1 \).
- Determining the significance level (\(\gamma\) or \(\alpha\)).
- Setting up the formula for the test statistic.
- Calculating the test statistic from sample values.
- Comparing the test statistic to the critical value to decide whether to reject \( H_0 \).
- **Significance**:
This extracted text provides guidelines and procedures for performing statistical tests to analyze the capability of machines in a production process. It is of critical importance for quality control and assurance within manufacturing practices.
This document is intended for professionals involved in quality and manufacturing engineering, aiming to ensure the precision and reliability of production processes by applying statistical methods.
####################
File: VW%2010130_DE.pdf
Page: 21
Context: # 4 Durchführung einer Maschinenfähigkeitsuntersuchung
Eine Maschinenfähigkeitsuntersuchung (MFU) ist nach dem in den Bildern 9 bis 11 dargestellten Ablauf durchzuführen.
## Ablauf einer Maschinenfähigkeitsuntersuchung
- **Start**
- 4.1 Prüfmittelanwendung
- 4.2 Stichprobenentnahme
### Bedingungen zur MFU erfüllt?
- ja
- 4.3 Sonderregelung für eingeschränkte MFU
- 4.4 Datenauswertung
- 4.5 Dokumentation
- 4.6 Ergebnisbeurteilung
- ja: Auswertungswiederholung
- nein:
- nein
- Maschine fähig?
- ja: 4.7 Maschinenoptimierung
- machbare Maschinenoptimierung
- nein: 4.8 Behandlung nicht fähiger Maschinen
- **Ende**
Image Analysis:
### Analysis of Visual Content
#### 1. Localization and Attribution:
- **Image 1**: This is the only image in the provided content.
#### 4. Text Analysis:
- **Detected Text**:
- Title: "Durchführung einer Maschinenfähigkeitsuntersuchung"
- Context: It guides on how to execute a machine capability investigation as per images 9 to 11.
- Key Steps in Flowchart:
- Start
- 4.1 Prüffittelanwendung
- 4.2 Stichprobenentnahme
- Bedigungen zur MFU erfüllt (ja/nein)
- 4.3 Sonderregelung für eingeschränkte MFU
- 4.4 Datenauswertung
- 4.5 Dokumentation
- 4.6 Ergebnisbeurteilung
- Auswertungswiederholung (ja)
- Maschine fähig (ja/nein)
- 4.7 Maschinenoptimierung
- machbare Maschinenoptimierung (ja/nein)
- 4.8 Behandlung nicht fähiger Maschinen
- Ende
- Bildunterschrift: "Bild 9 - Ablauf einer Maschinenfähigkeitsuntersuchung"
- **Significance**:
- The text provides a structured approach for conducting machine capability analysis.
- It outlines a flowchart of steps and decisions needed to assess and document the machine's capability.
#### 5. Diagram and Chart Analysis:
- **Diagram Type**: Flowchart
- **Explanation**:
- Starts with a testing method application (4.1 Prüffittelanwendung).
- Includes sampling (4.2 Stichprobenentnahme) and then checks if conditions for machine capability investigation (MFU) are met.
- If conditions are not met, a special regulation for limited MFU is applied (4.3 Sonderregelung für eingeschränkte MFU).
- If conditions are met, it proceeds to data evaluation (4.4 Datenauswertung), documentation (4.5 Dokumentation), and result assessment (4.6 Ergebnisbeurteilung).
- Based on the assessment, either the evaluation is repeated or the machine is deemed capable.
- If incapable, machine optimization (4.7 Maschinenoptimierung) or treatment of non-capable machines (4.8 Behandlung nicht fähiger Maschinen) is executed.
- **Axes, Scales, and Legends**:
- The flowchart does not include traditional axes or scales but uses directional arrows and decision boxes to guide the workflow.
#### 8. Color Analysis:
- **Color Composition**:
- The flowchart is monochrome, predominantly black text and lines on a white background.
- This format emphasizes clarity and readability.
#### 9. Perspective and Composition:
- **Perspective**:
- The flowchart is viewed from a standard, straight-on perspective.
- **Composition**:
- The elements are arranged linearly from top to bottom, guiding the reader through the process with decision points branching left or right.
#### 12. Graph and Trend Analysis:
- **Trends**:
- The decision-based structure indicates a systematic investigation process with multiple checks and corrective actions.
- Trends show the importance of conditional checks and optimization steps in ensuring machine capability.
#### Ablaufprozesse (Process Flows):
- **Process Flow Description**:
- The flowchart depicts a step-by-step process flow for machine capability investigation.
- It includes initialization, sampling, condition checks, evaluation, documentation, and decision-making for optimization or treatment of non-capable machines.
#### Prozessbeschreibungen (Process Descriptions):
- **Detailed Steps**:
- Each step (like Prüffittelanwendung, Stichprobenentnahme, etc.) describes a distinct phase in the machine capability investigation process.
- Decision points guide whether the machine can proceed to the next step or requires special attention.
#### Typen Bezeichnung (Type Designations):
- **Types/Categories**:
- The flowchart categorizes steps into application, sampling, condition check, data evaluation, documentation, result assessment, and optimization/treatment.
#### Trend and Interpretation:
- **Trends Identification**:
- The flowchart emphasizes corrective actions and repetitions to ensure machine readiness.
- **Interpretation**:
- The iterative nature shows the focus on thorough evaluation and readiness of machinery before declaring it capable.
This comprehensive analysis elucidates the workflow of a machine capability investigation as depicted in the provided flowchart, highlighting the systematic approach and decision-making involved in the process.
####################
File: VW%2010130_DE.pdf
Page: 22
Context: # 4.4 Datenauswertung
## 4.4.1 Auswahl des zu erwartenden Verteilungsmodells
## 4.4.2 Test auf Ausreißer
### Ausreißer vorhanden?
- **ja**
- 4.4.3 Ausreißer aus der Berechnung der statistischen Kennwerte nehmen
- **nein**
- 4.4.4 Test auf Änderung der Fertigungslage
- 4.4.5 Test auf Abweichung vom festgelegten Verteilungsmodell
### Abweichung vom Verteilungsmodell?
- **ja**
- 4.4.8 Verteilungsfreie Auswertung
- **nein**
- Normalverteilung?
- **ja**
- 4.4.6 Auswertung nach Normalverteilung
- 4.4.7 Auswertung nach festgelegtem Modell
- **nein**
- Fortsetzung in 4
Image Analysis:
### Comprehensive Examination of the Visual Content
**Image Identification:**
- **Image Number:** Image 1
**Diagram and Chart Analysis:**
- **Diagram Type:** Flowchart
- **Title:** Ablauf der Datenauswertung (Data Evaluation Process)
- **Language:** German
**Components of the Diagram:**
1. **Start Point:**
- **Element:** Ellipse
- **Text:** "4.4 Datenauswertung"
2. **Processes and Decisions:**
- Several rectangular and diamond-shaped boxes representing processes and decision points.
- **Key Processes (Rectangular Boxes):**
- "4.4.1 Auswahl des zu erwartenden Verteilungsmodells"
- "4.4.2 Test auf Ausreißer"
- "4.4.4 Test auf Änderung der Fertigungslage"
- "4.4.5 Test auf Abweichung vom festgelegten Verteilungsmodell"
- "4.4.6 Auswertung nach Normalverteilung"
- "4.4.7 Auswertung nach festgelegtem Modell"
- "4.4.8 Verteilungsfreie Auswertung"
- **Key Decisions (Diamond Boxes):**
- "Ausreißer vorhanden"
- Options: "ja" (yes) or "nein" (no)
- "Abweichung vom Verteilungsmodell"
- Options: "ja" (yes) or "nein" (no)
- "Normalverteilung"
- Options: "ja" (yes) or "nein" (no)
3. **Connector Arrows:**
- Indicating the flow and progression between different processes and decision points.
- **Example:** From "4.4.2 Test auf Ausreißer" to decision "Ausreißer vorhanden" with options leading to "4.4.3 Ausreißer aus der Berechnung der statischen Kennwerte nehmen" if "ja" or "4.4.4 Test auf Änderung der Fertigungslage" if "nein."
4. **Continuation:**
- **Element:** Ellipse marked "Fortsetzung in 4" indicating continuation to another section not included in this diagram.
**Text Analysis:**
- **Header Information:**
- **Page Number:** Seite 22
- **Document Identifier:** VW 101 30: 2005-02
- **Title of the Diagram:**
- **Bottom Text:** Bild 10 - Ablauf der Datenauswertung
**Process Descriptions:**
- **4.4.1 Auswahl des zu erwartenden Verteilungsmodells:**
- Selection of the expected distribution model.
- **4.4.2 Test auf Ausreißer:**
- Testing for outliers.
- **4.4.3 Ausreißer aus der Berechnung der statischen Kennwerte nehmen:**
- Removing outliers from the calculation of statistical parameters.
- **4.4.4 Test auf Änderung der Fertigungslage:**
- Testing for changes in production conditions.
- **4.4.5 Test auf Abweichung vom festgelegten Verteilungsmodell:**
- Testing for deviations from the established distribution model.
- **4.4.6 Auswertung nach Normalverteilung:**
- Evaluation according to normal distribution.
- **4.4.7 Auswertung nach festgelegtem Modell:**
- Evaluation according to the established model.
- **4.4.8 Verteilungsfreie Auswertung:**
- Distribution-free evaluation.
**Perspective and Composition:**
- **Perspective:** Top-down view, typical for flowcharts and diagrams.
- **Composition:**
- Organized with a clear hierarchy, starting from top (4.4 Datenauswertung) and branching out through various processes and decisions.
**Contextual Significance:**
- **Context:** Likely a section from a technical or methodological guide on data evaluation procedures.
- **Contribution:** Provides a detailed process flow for data analysis, ensuring consistency and comprehensiveness in evaluating statistical data, including handling outliers and distribution models.
### Key Takeaways:
- The flowchart outlines a comprehensive process for data evaluation.
- Includes decision points for handling outliers and deviations in data analysis.
- Helps ensure thoroughness and systematic approach in statistical evaluation tasks.
####################
File: VW%2010130_DE.pdf
Page: 23
Context: # 4.6 Ergebnisevaluation
## Ablauf der Ergebnisevaluation
- **Ausreißer vorhanden**
- ja
- **Ausreißer durch fehlerhafte Messungen**
- nein
- nein
- **Änderung der Fertigungslage**
- ja
- nein
- **Abweichung vom Verteilungsmodell**
- ja
- **anderes Verteilungsmodell möglich**
- ja
- **Auswertungswiederholung**
- Fortsetzung in 4
- **Ursache bekannt und Wirkung akzeptabel**
- ja
- nein
- nein
- nein
- **Fähigkeitskennwerte kleiner als Grenzwerte**
- ja
- **Maschine fähig**
- Fortsetzung in 4
- nein
- **Maschine nicht fähig**
- Fortsetzung in 4
_Bild 11 - Ablauf der Ergebnisevaluation_
Image Analysis:
## Analysis of the Visual Content
### 1. Localization and Attribution
- **Image Number**: Image 1
### 5. Diagram and Chart Analysis
- **Diagram Type**: Flowchart
- **Title**: "Bild 11 - Ablauf der Ergebnisbeurteilung" (Figure 11 - Flow of Result Evaluation)
- **Axes, Scales, and Legends**: Not applicable as this is a process flow diagram.
### Ablaufprozesse (Process Flows)
- **Starting Point**: The process begins with the decision point "4.6 Ergebnisbeurteilung".
- **Flow of Process**:
1. **Decision Point**: "Ausreißer vorhanden" (Are outliers present?)
- If *no*, move to "Änderung der Fertigungslage" (Change in production situation).
- If *yes*,
- Next decision on whether outliers are due to erroneous measurements ("Ausreißer durch fehlerhafte Messungen").
- If *yes*, move to "Auswertungswiederholung" (Evaluation repetition).
- If *no*, move to "Abweichung vom Verteilungsmodell" (Deviation from distribution model).
- If *no*, go to "Auswertungswiederholung".
- If *yes*, decide on the possibility of another distribution model.
- If *no*, move to "Auswertungswiederholung".
- If *yes*, go to "Fähigkeitskennwerte kleiner als Grenzwerte" (Capability indices less than limits).
- If *yes*, proceed to evaluate "Maschine fähig" (Machine capable).
- If *no*, the machine is marked as not capable.
### Prozessbeschreibungen (Process Descriptions)
- The diagram details the steps and decisions required to evaluate results within a manufacturing or quality control context.
- Anomalies like outliers initiate different branches of the process to ensure accurate measurements and quality control.
- If the outliers are due to erroneous measurements, processes are repeated to ensure reliability.
- If deviations from the distribution model are found, further checks for alternative models are carried out to accommodate realistic scenarios.
### Typen Bezeichnung (Type Designations)
- The process designations (e.g., "Ausreißer", "Änderung der Fertigungslage") indicate types of errors or adjustments possible during the evaluation phase.
### 8. Color Analysis
- **Color Composition**: The flowchart is black and white.
- **Dominant Colors**: Only black is used to delineate process steps and decisions.
- **Impact on Perception**: Use of monochrome ensures clarity without distractions, focusing the viewer's attention on the content and flow of the process.
### 9. Perspective and Composition
- **Perspective**: The diagram is presented from a top-down view.
- **Composition**: Elements are arranged logically and sequentially to illustrate decision points and paths clearly. Diamonds denote decisions, while rectangles represent processes and outcomes.
### 10. Contextual Significance
- **Overall Document or Website Context**: This flowchart illustrates a standardized procedure likely from a quality assurance or control manual.
- **Contribution to Overall Message or Theme**: This contributes to ensuring that processes are systematically followed to maintain quality and reliability in manufacturing or other evaluative processes.
### Text Analysis
- **Detected Text**:
- "Seite 23"
- "VW 101 30: 2005-02"
- Detailed process steps and decisions such as "Änderung der Fertigungslage" and "Maschine nicht fähig".
- **Content Significance**: The text labels critical decision points and their outcomes, guiding the user through the evaluation procedure efficiently. The page numbering and document code indicate its place within a larger manual.
### Anomaly Detection
- **Possible Anomalies**: None detected; the diagram is clear and follows a structured flow without apparent errors or misalignments.
This comprehensive analysis provides a detailed examination of the flowchart, focusing on the flow of result evaluation within a structured process setting.
####################
File: VW%2010130_DE.pdf
Page: 24
Context: # 4.1 Prüfmittelanwendung
Zur MFU ist nur ein Prüfmittel anzuwenden, dass von der zuständigen Stelle für den vorgesehenen Prüfprozess freigegeben wurde.
## 4.2 Stichprobenentnahme
Eine MFU bezieht sich auf ein Fertigungsmerkmal oder einen Maschinenparameter. In der Regel sind zur Auswertung die einzelnen Messwerte der Stichprobe zu erfassen. Im Fall von manuell aufgezeichneten Messwerten in Form von Strichen in einer Klasseneinteilung des Werbebereichs (Stichliste) kannassat auch die Häufigkeitsverteilung der klassifizierten Merkmale erfasst werden.
Um bei einer MFU im wesentlichen nur den Maschineninfluß zu erfassen, sind folgende Bebingungen bei der Fertigung der Stichproben zu einhalten:
- Eine einheitliche Rohteilcharge und eine einheitliche Vorbereitung (Lieferant, Werkstoff) muss bei der Untersuchung gewährleistet sein. Während der MFU ist die Maschine oder Anlage immer von gleich Bediener zu fahren.
- Die Vorbereitungsqualität der zu bereitellenden Merkmale muss den geforderten Fertigungsrichtlinien entsprechen.
- Die Anzahl der zu fertigen Teile (Stichprobenumfang) sollte in der Regel 50 betragen. Ist dieser Stichprobenumfang aus wirtschaftlichen oder technischen Gründen schwer realisierbar, so ist auch ein kleinerer zulässig. Zu beachten sind dann entsprechend größere Grenzwerte nach Tabelle 3 oder Formeln (3.7) und (3.8). Der effektive Stichprobenumfang (d.h. ohne Ausreißer) muss aber mindestens 20 betragen.
- Die Teile sind unmittelbar hintereinander zu fertigen und der Fertigungsreihenfolge entsprechend zu nummerieren. An jedem Teil sind alle festgelegten Merkmale zu untersuchen.
- Die MFU darf nur bei betriebswarmer Maschine erfolgen. „Betriebswarm“ ist für jeden Anwendungsfall zu definieren.
- Die Prüfteile sind unter den für die Maschine geforderten Serienbedingungen (d.h. mit der Taktzeit und den Maschineninparametern) zu fertigen.
- Entsprechend dem Projekt müssen spezielle Festlegungen getroffen werden, damit zu Beginn der MFU gewährleistet ist, dass z.B. das Werkstück eingearbeitet ist und dass Ende der Werkstückszeit auch innerhalb der MFU liegt.
- Werkzeugwechsel, manuelle Werkzeugverstellungen oder sonstige Änderungen von Maschinenparametern dürfen während der MFU nicht vorgenommen werden. Ausgenommen sind automatische Werkzeugkorrekturen durch integrierte Steuerungen.
- Bei Maschinenstörungen während der MFU, die das untersuchte Merkmal beeinflußen, muss mit der MFU neu begonnen werden.
- Die Messdaten müssen vor der Untersuchung festgelegt und zwischen Lieferant und Abnehmer abgestimmt sein.
- Bei der Fertigung unterschiedlicher Teile (unterschiedliche Teilnummern, z.B. Stahlbleche/Gussstücke) auf einer Maschine, die außerdem verschiedene Merkmale aufweisen können, sind für alle diese Teile MFUs durchzuführen.
Image Analysis:
### Page Analysis
#### Localization and Attribution
- **Image Identification**: This is a single-page document containing text.
- **Image Position**: Entire page.
- **Image Number**: 1
#### Text Analysis
- **Text Extraction**:
- Title: "4.1 Prüfmittelanwendung" and "4.2 Stichprobenentnahme".
- Main content: The main text content discusses guidelines and instructions concerning the use of testing equipment (Prüfmittelanwendung) and sampling procedures (Stichprobenentnahme) for production quality assessment.
- **Text Content Summary**:
- **Section 4.1**: Outlines that the testing equipment (MFU) should only be used in pre-approved scenarios where approval has been granted by the corresponding body.
- **Section 4.2**: Details how samples should be taken for quality testing, including:
- Ensuring consistent raw materials and preparation.
- Maintaining the quality of preparation for test pieces.
- Specified number of test pieces generally recommended to be 50.
- Test samples should be sequentially ordered and labeled.
- Sample parts must be produced only under operational conditions.
- Examination under specified serial conditions of machine or production parameters.
- Specific requirements to be met during the project.
- Provisions for using multiple tools and manual adjustments.
- Stipulations for machine breakdowns affecting the MFU.
### Contextual Significance
- **Document Context**: The information appears to be part of a quality control manual or a technical specification guideline for manufacturing processes.
- **Contribution to Overall Document**: This page is significant as it provides detailed procedural steps for sampling and testing, ensuring that quality control measures are standardized and consistent during production. This contributes to upholding product quality and reliability.
### Color Analysis
- **Color Composition**: The document is primarily black and white. This contributes to a professional and formal appearance suitable for technical guidelines.
### Perspective and Composition
- **Perspective**: The document appears to be scanned or digitized from a hard copy.
- **Composition**: The text is arranged in a structured format with clear headings and bullet points, which makes it easy to navigate and read.
### Anomaly Detection
- **Noticeable Elements**: There do not appear to be any anomalies or unusual elements in this document page.
### Summary
The image contains part of a technical manual detailing the use of test equipment and sample extraction methods for quality control in manufacturing processes. The page is structured and clear, emphasizing procedural adherence to ensure consistency and reliability in quality assessment.
####################
File: VW%2010130_DE.pdf
Page: 25
Context: # 4.3 Sonderregelung für eingeschränkte MFU
Lassen sich die in 4.2 genannten Bedingungen zur Stichprobenahme nicht vollständig erfüllen, so kann in begründeten Fällen eine eingeschränkte MFU durchgeführt werden, für die Sonderregelungen zwischen Lieferanten und Abnehmer zu vereinbaren und unter dem Vermerk „Eingeschränkte MFU“ zu dokumentieren sind.
## 4.4 Datenauswertung
### 4.4.1 Auswahl des zu erwartenden Verteilungsmodells
Das zu erwartende Verteilungsmodell hängt von der Merkmalsart ab. Für die wichtigsten Arten von Merkmalen (siehe auch VW 01056) sind die zugeordneten Verteilungsmodelle aus Tabelle 2 zu entnehmen.
| Merkmalsart | Verteilungsmodell |
|--------------------------------|-------------------|
| Längenmaße | N |
| Durchmesser, Radius | N |
| Geradheit | B1 |
| Ebenheit | B1 |
| Rundheit | B1 |
| Zylinderform | B1 |
| Linienform | B1 |
| Flächenform | B1 |
| Parallelität | B1 |
| Rechtwinkligkeit | B1 |
| Neigung (Winklichkeit) | B1 |
| Position | B2 |
| Koaxialität / Konzentrizität | B2 |
| Symmetrie | B1 |
| Rundlauf | B2 |
| Planlauf | B2 |
| Rauheit | B1 |
| Unwucht | B2 |
| Drehmoment | N |
Legende:
N: Normalverteilung
B1: Betragverteilung 1. Art
B2: Betragverteilung 2. Art (Rayleigh-Verteilung)
Für nicht aufgeführte Merkmalsarten kann in den meisten Fällen eine Zuordnung einer Verteilung nach der folgenden Regel erfolgen:
- bei zweiseitiger oder einseitiger nach unten tolerierten Merkmalen eine Normalverteilung
- und bei einseitig nach oben tolerierten Merkmalen eine Betragverteilung 1. oder 2. Art
Image Analysis:
### Image Analysis
#### Localization and Attribution:
- The provided document has a single page with text and a table.
- This content can be labeled as **Image 1**.
#### Text Analysis (Image 1):
- **Section Title:** "4.3 Sonderregelung für eingeschränkte MFU"
- **Subheading:** "4.4 Datenauswertung"
- **Sub-subheading:** "4.4.1 Auswahl des zu erwartenden Verteilungsmodells"
- **Body Text:**
- Discusses conditions for restricted MFU (Measurement and Analysis Unit).
- Explains data evaluation and the selection of the expected distribution model.
- Instructs on how to agree and document any special arrangements.
#### Diagram and Chart Analysis (Image 1):
- **Table Title:** "Tabelle 2 - Zuordnung von Merkmalsarten und Verteilungsmodellen"
- This table is a mapping of characteristics ("Merkmalsart") to distribution models ("Verteilungsmodell").
**Content of Table:**
- **Characteristics (Merkmalsart):**
- Längenmaße (Length dimensions)
- Durchmesser, Radius (Diameter, Radius)
- Geradheit (Straightness)
- Ebenheit (Flatness)
- Rundheit (Roundness)
- Zylinderform (Cylindrical form)
- Linienform (Line form)
- Flächenform (Surface form)
- Parallelität (Parallelism)
- Rechtwinkligkeit (Perpendicularity)
- Neigung (Winkligkeit) (Inclination)
- Position
- Koaxialität / Konzentrizität (Coaxiality / Concentricity)
- Symmetrie (Symmetry)
- Rundlauf (Circular run-out)
- Planlauf (Planar run-out)
- Rauheit (Roughness)
- Unwucht (Imbalance)
- Drehmoment (Torque)
- **Distribution Models (Verteilungsmodell):**
- N: Normal distribution (Normalverteilung)
- B1: Beta distribution type 1 (Betragsverteilung 1. Art)
- B2: Beta distribution type 2 (Rayleigh distribution) (Betragsverteilung 2. Art)
**Legend:**
- N: Normalverteilung (Normal distribution)
- B1: Betragsverteilung 1. Art (Beta distribution type 1)
- B2: Betragsverteilung 2. Art (Rayleigh-Verteilung) (Beta distribution type 2)
**Rules Mentioned:**
- "Für nicht aufgeführte Merkmalsarten kann in den meisten Fällen eine Zuordnung einer Verteilung nach der folgenden Regel erfolgen:
- bei zweiseitig oder einseitig nach unten tolerierten Merkmalen eine Normalverteilung
- und bei einseitig nach oben tolerierten Merkmalen eine Betragsverteilung 1. Oder 2. Art"
#### Text Analysis Significance:
- This section of the document focuses on the classification of different measurement attributes and the corresponding statistical distribution models.
- The information is crucial for engineers or quality control specialists in determining which statistical model to apply when analyzing measurement data for specific characteristics.
#### Contextual Significance:
- Within the overall document, this page seems to pertain to standards or guidelines for quality assessments and statistical analysis of measurement data in a manufacturing or engineering context.
- It provides structured guidance on how to handle different types of measurements and ensure consistency in quality control processes.
#### Metadata Analysis:
- No metadata provided or available from the analysis.
### Conclusion
This document page is a critical part of a larger manual or standards document, detailing processes for measurement and quality assurance. The table helps to map different measurement attributes to their appropriate statistical distribution models, ensuring proper data evaluation in quality control procedures. The detailed and structured approach enhances consistency and reliability in manufacturing or engineering quality assessments.
####################
File: VW%2010130_DE.pdf
Page: 26
Context: ### 4.4.2 Test auf Ausreißer
Mit Hilfe des verteilungsunabhängigen Ausreißertests nach VW 10133 ist zunächst zu ermitteln, ob die erfassten Messwerte Ausreißer enthalten. Ausreißer sind Messwerte, die so weit von den anderen Messwerten entfernt liegen, dass sie mit hoher Wahrscheinlichkeit nicht aus derselben Grundgesamtheit stammen wie die übrigen Werte, wie z.B. fehlerhafte Messungen. Der Ausreißer-Test ist mit einer Aussagewahrscheinlichkeit von 99% durchzuführen.
### 4.4.3 Ausreißer zur Berechnung der statistischen Kenngröße nehmen
Im Fall identifizierter Ausreißer werden diese bei der Berechnung der statistischen Kenngrößen nicht berücksichtigt. Die Ausreißer dürfen aber nicht gelöscht werden. Sondern sie sind in der grafischen Darstellung des Einzelverlaufes entsprechend zu kennzeichnen, und ihre Anzahl ist in der Dokumentation anzugeben.
### 4.4.4 Test auf Änderung der Fertigungslage
Mit Hilfe des verteilungsunabhängigen Run-Tests nach Swed-Eisenhard (siehe [1]) ist zu ermitteln, ob sich die Fertigungslage während der Stichprobenahme systematisch geändert hat. Eine systematische Änderung der Fertigungslage kann z.B. durch Temperaturintervalle oder durch werkzeugabhängige Streuungen entstehen (Trendverlauf). Dieser Test ist mit einer Aussagewahrscheinlichkeit von 95% durchzuführen.
Falls nur die Häufigkeitsverteilung klassischer Messwerte erfasst wurde, lässt sich dieser Test nicht anwenden.
### 4.4.5 Test auf Abweichung vom festgelegten Verteilungsmodell
Die erfassten Messwerte sind zu prüfen, ob sie eine signifikante Abweichung von dem Verteilungsmodell aufweisen, das für das betreffende Merkmal festgelegt wurde. Dazu ist im Fall einer festgelegten Normalverteilung der Epps-Pulley-Test (siehe [50 5497]) und im Fall eines anderen festgelegten Verteilungsmodells, z.B. bei einer Bereitevorgabe 1, oder 2. Art der Quadrat-Test (siehe [1]) mit einer Aussagewahrscheinlichkeit von 95% anzuwenden. Eine Abweichung vom festgelegten Verteilungsmodell kann z.B. durch unterschiedliche Materialfehler an der Stichprobenahme entstehen (Mischverteilung, siehe Beispiel 3 im Abschnitt 5).
Eine Abweichung vom festgelegten Verteilungsmodell kann z.B. durch Stichprobenanomalien von verschiedenen Werkzeugen entstehen (Mischverteilung, siehe auch Beispiel 3, im Abschnitt 5).
### 4.4.6 Auswertung nach Normalverteilung
Im Fall einer festgelegten oder einer nach den Kriterien (1.13), (1.22) genährten Normalverteilung, in dem die Messwerte keine signifikante Abweichung vom Verteilungsmodell aufweisen, erfolgt die Berechnung der Fähigkeitskennwerte nach der Tolerierung nach den Formen (2.1) bis (2.5), wobei die Streubrechungsgrenze nach (2.6) ermittelt werden.
### 4.4.7 Auswertung nach festgelegtem Modell
Im Fall eines festgelegten Verteilungsmodells, z.B. Betragsverteilung 1. oder 2. Art, in dem die Messwerte keine signifikante Abweichung vom Verteilungsmodell aufweisen, erfolgt die Berechnung der Fähigkeitskennwerte nach den Formen (2.1) bis (2.5), wobei die Kenwerte der einzuspezifizierenden Verteilung nach den Formen (2.15) und (2.16) bzw. (2.24) und (2.25) mit Hilfe der genähernten Funktion (2.18) bzw. (2.27) ermittelt und die Streubrechungsgrenzen nach den genähernten Funktionen (2.19) bzw. (2.28) berechnet werden können.
Image Analysis:
## Image Analysis
### 1. **Localization and Attribution:**
- **Single Content Page:**
- The entire page is text-based. No additional images are present.
### 4. **Text Analysis:**
- **General Content:**
- The page contains detailed procedures and methods in German for statistical testing and quality control as outlined in the document VW 101 30: 2005-02.
- **Sections Identified:**
- **4.4.2 Test auf Ausreißer:** Method for independent outlier testing with VW 10133, procedure to remove erroneous measurements.
- **4.4.3 Ausreißer aus der Berechnung der statischen Kennwerte nehmen:** Instructions for handling outliers in statistical calculations.
- **4.4.4 Test auf Änderung der Fertigungsanlage:** Procedure to detect changes in the production system via run-tests like Swed-Eisenhardt.
- **4.4.5 Test auf Abweichung vom festgelegten Verteilungsmodell:** Assessing significant deviations from a predefined distribution model, using methods like the Epps-Pulley Test and Chi-squared test.
- **4.4.6 Auswertung nach Normalverteilung:** Procedure for evaluation based on normal distribution and its criteria.
- **4.4.7 Auswertung nach festgelegtem Modell:** Instructions for evaluation using a predefined distribution model and its criteria.
### 5. **Diagram and Chart Analysis:**
- **Absence of Diagrams/Charts:**
- This text-based image does not include diagrams or charts for analysis.
### 7. **Anomaly Detection:**
- **No Anomalies** detected:
- The page features consistent formatting and structured information without any visible anomalies.
### 9. **Perspective and Composition:**
- **Text Layout:**
- The text is presented in a structured format with sections numbered sequentially.
- The headers are in bold, which helps in distinguishing different sections.
- The text follows a left-aligned, paragraph structure, typical for official documents.
### 10. **Contextual Significance:**
- **Professional/Technical Document:**
- The content pertains to quality control and statistical methods in a production or manufacturing context.
- It is likely part of a larger manual or standard operating procedure (SOP) document for ensuring data integrity and accuracy during the production process.
### 12. **Graph and Trend Analysis:**
- **Absence of Graphs/Trends:**
- No graphs or trend lines are present to analyze in this text-based image.
### Additional Aspects:
#### **Ablaufprozesse (Process Flows):**
- **Process Descriptions:**
- Various statistical methods and testing procedures are described, outlining systematic steps for identifying outliers, evaluating production changes, and ensuring conformity to established models.
#### **Prozessbeschreibungen (Process Descriptions):**
- **Detailed Steps Provided:**
- Each section provides a detailed description of specific processes and methodologies, indicating the steps and criteria involved in statistical quality control.
#### **Typenbezeichnung (Type Designations):**
- **Types and Categories:**
- Specific types of tests and methods such as Epps-Pulley Test, Chi-squared test (Quadrattest), Run-Test (Swed-Eisenhard) are designated and their applications described.
In summary, this page is from a technical document outlining procedures for statistical analysis and quality control in manufacturing, detailing methods to manage outliers, assess production changes, and evaluate distribution models.
####################
File: VW%2010130_DE.pdf
Page: 27
Context: ```
4.4.8 Verteilungsfreie Auswertung
Ergibt sich aus dem statistischen Test ein Widerspruch zwischen den erfassten Messwerten und dem festgelegten Verteilungsmodell, oder lässt sich zum betrachteten Fertigungsmerkmal kein passendes Verteilungsmodell finden, so erfolgt eine verteilungsfreie Berechnung der Fähigkeitskennwerte nach den Formeln (2.29) bis (2.40).
4.5 Dokumentation
Die Dokumentation einer MFU bezüglich eines Merkmals muss folgende Informationen und Darstellungen enthalten:
- **Kopfdaten:**
- Abteilung, Bearbeiter und Erstellungsdatum
- Angaben über das Teil
- Benennung, Nennmaß und Toleranz des Merkmals
- Maschinenangaben
- Prüfmittelangaben
- Zeitraum der Fertigung
- **Ergebnisse:**
- grafische Darstellung des Einzelwertverlaufs mit den Stichprobenmittelwerten mit Grenzlinien des Toleranzintervalls (sofern Einzelwerte erfasst wurden)
- Histogramm mit dem eingegebenen Verteilungsmodell, Grenzlinien des Toleranzintervalls und Streubereichs, sowie Mittelwert- bzw. Medianwertlinie
- Darstellung in Wahrscheinlichkeitsnetz mit dem eingegebenen Verteilungsmodell, Grenzlinien des Toleranzintervalls und Streubereichs, sowie Mittelwert- bzw. Medianwertlinie
- Anzahl der gemessenen Werte
- Anzahl der ausgewerteten Messwerte oder gefundenen Ausreißer
- Schätzwert der Fertigungslage
- Schätzwert der Streuereichsgrenzen oder Schätzwert der Streubreite
- das angewandte Verteilungsmodell
- das Ergebnis des Tests auf Änderung der Fertigungslage
- das Ergebnis des Tests auf Abweichung vom festgelegten Verteilungsmodell
- berechnete Fähigkeitskennwerte für Cm und Cmk (auf zwei Stellen nach dem Komma)
- geforderte Grenzwerte für Cm und Cmk
- **Hinweise und Bemerkungen:**
- gegebenenfalls Hinweis auf eingeschränkte MFU
- gegebenenfalls besondere Vereinbarungen zwischen Lieferanten und Abnehmer
- gegebenenfalls besondere Ereignisse während der Stichprobenahme
```
Image Analysis:
This document appears to be a technical report or guideline, specifically focusing on the evaluation and documentation of manufacturing process capability. Below is a comprehensive examination based on the provided instructions:
---
### Text Analysis
#### Detected Text
The entire document is in German and contains technical jargon related to manufacturing and process evaluation. Key sections include:
**4.4.8 Verteilungsfreie Auswertung**:
- Discusses non-parametric evaluation. It mentions statistical tests and the computations of capability indices based on non-parametric formulas.
**4.5 Dokumentation**:
- Outlines the necessary documentation requirements for Measurement System Analysis (MSA) for specific characteristics. It includes:
- **Kopfdaten (Header Information)**:
- Department, editor, creation date
- Part information
- Designation, nominal value, and tolerance of the characteristic
- Machine specifications
- Test equipment details
- Manufacturing period
- **Ergebnisse (Results)**:
- Graphical representation of individual value progress within tolerance intervals
- Histogram with fitted distribution model
- Representation of probability density network with a comparison to tolerance intervals and scatter range
- Number of measured values
- Number of selected measurements or detected outliers
- Manufacturing situation scatter values
- Scatter range limits or scatter value deviation
- Used distribution model
- Test results for manufacturing position or deviation from the fixed distribution model
- Calculated capability indices for Cm and Cmk
- Required limit values for Cm and Cmk
- **Hinweise und Bemerkungen (Notes and Remarks)**:
- Possible hint about limited MSA
- Potential special agreements between suppliers and customers
- Any special events during sample collection
#### Significance
This document seems to be part of a manual or standard operating procedure for documenting and assessing the measurement system used in manufacturing, specifically aimed at understanding how well the manufacturing process is controlled and capable.
### Localization and Attribution
There is only one textual page present in the image, hence only **Image 1** needs to be noted.
### Contextual Significance
Given the technical content, this document likely serves as a standard or guideline for engineers and quality assurance specialists in the manufacturing industry, offering structured and detailed instructions on how to document the capability of measurement systems. This helps in ensuring that the manufactured products meet quality standards and specifications.
---
### Types and Classifications
1. **Kopfdaten** - Critical initial data required for the documentation.
2. **Ergebnisse** - Detailed results and visual representations of the measurement system's evaluation.
3. **Hinweise und Bemerkungen** - Additional notes and special circumstances that might affect the measurement system analysis.
### Analysis Summary
The document provides a highly structured approach to documenting manufacturing process capabilities, ensuring consistent and reliable measurement system analysis. It emphasizes thorough documentation, graphical results presentation, capability indices calculation, and special conditions communication, all of which are crucial for maintaining high-quality production standards.
####################
File: VW%2010130_DE.pdf
Page: 28
Context: # 4.6 Ergebnisbeurteilung
Ob eine Maschine bezüglich der Fertigung eines betrachteten Merkmals als fähig bewertet werden kann, hängt von der folgenden Ergebnisbeurteilung ab:
Ergebnis bei einer Auswertung \(A_{seri}\) ist der Ursache zu klären. Ausreißer dürfen nur durch fehlerhafte Messverfahren verursacht oder durch den Ausreißer selbst aufgrund der festgelegten Toleranzschwelle nicht fähig zu beurteilen. Würden mehr als 5% der ersten Messwerte für mehr als 2 Werte als Ausreißer identifiziert, dann ist zu untersuchen, ob der Prüfprozess fehlerhaft ist. Die MFU ist dann gegebenenfalls zu wiederholen.
Hat sich die Fertigungsbeurteilung während der Stichprobenahme signifikant geändert, so muss in der Regel deren Ursache bekannt und deren Wirkung akzeptabel sein, um die Voraussetzungen zur Maschinenfähigkeit zu erfüllen (Annahme siehe letzten Absatz dieses Abschnitts).
Liegt eine unzulässige Ausschussrate vor oder signifikante Abweichung vom festgelegten Verteilungsmodell vor und lässt sich kein anderes Verteilungsmodell dem betrachteten Merkmal widerspruchsfrei zuordnen, so muss die Ursache bekannt und die Wirkung akzeptabel sein.
Sofern nichts anderes vereinbart, müssen die ermittelten Fähigkeitenkennwerte bei einem effektiven Stichprobenumfang von \(n_s \geq 50\) (d.h. ohne Ausreißer) die Forderung
\[
\hat{c}_{mk} \geq 2,20 \quad \text{und} \quad \hat{c}_{mk} \geq 1,67
\]
für ein zweisigentlich toleriertes Merkmal
\[
c_{mk} \geq 1,67
\]
für ein einseitig toleriertes Merkmal
erfüllen, um die Maschine als fähig beurteilen zu können. Dabei sind zum Vergleich mit den Grenzwerten die ermittelten Fähigkeitenkennwerte auf zwei Stellen nach dem Komma zu runden, so dass z.B. ein ermittelter Wert von \(\hat{c}_{mk} = 1,665415\) mit der sich daraus ergebenen Rundung von 1,67 die Forderung noch erfüllt.
Bei einem effektiven Stichprobenumfang \(20 \leq n_s < 50\) sind entsprechend größere Grenzwerte einzuhalten. Für einige Stichprobenumfänge sind in Tabelle 3 die angesetzten Grenzwerte angegeben. Bei Vereinbarung anderer Grenzwerte darf der Basis von \(n_s \geq 50\) sind die entsprechenden angepassten Grenzwerte nach Formel (3.7) bis (3.9) zu ermitteln.
## Tabelle 3 - Grenzwerte zur Maschinenfähigkeit für \(20 \leq n_s \leq 50\)
| \(n_s\) | \(\hat{c}_{mk}\) | \(\hat{c}_{mk}\) |
|---------|-------------------|-------------------|
| 20 | 2,28 | 1,93 |
| 25 | 2,19 | 1,85 |
| 30 | 2,13 | 1,79 |
| 35 | 2,08 | 1,75 |
| 40 | 2,05 | 1,72 |
| 45 | 2,02 | 1,70 |
| 50 | 2,00 | 1,67 |
Ergibt sich ein Fähigkeitskennwert, der kleiner ist als der entsprechende Grenzwert, dann ist die Maschine als nicht fähig zu beurteilen.
Image Analysis:
**Localization and Attribution:**
- **Image 1**: Entire page of the document provided.
**Text Analysis:**
- **Extracted Text:**
- Title: "4.6 Ergebnisbeurteilung"
- Main body of text: Several paragraphs discussing the evaluation of manufacturing processes and the determination of machine capability. Specific statistical values and their interpretations are provided.
- Footnote: Provides additional context or exceptions regarding certain measurements.
- Table: "Tabelle 3 - Grenzwerte zur Maschinenfähigkeit für 20 ≤ n₀ ≤ 50" listing various sample sizes (n₀) and corresponding values (c̅m and c̅mk).
- **Content Analysis:**
- The section is concerned with evaluating whether a machine can be deemed capable of a particular manufacturing process.
- Details the criteria for identifying and addressing outliers in measurements.
- Discusses changes in sampling size and their impacts on evaluations.
- Provides specific statistical thresholds (e.g., c̅m ≥ 2.20 and c̅mk ≥ 1.67) that must be met for different categories.
- Footnote emphasizes how minor tolerances (T < 5µm) can lead to significant deviations.
**Diagram and Chart Analysis:**
- **Table Analysis:**
- **Title:** "Tabelle 3 - Grenzwerte zur Maschinenfähigkeit für 20 ≤ n₀ ≤ 50"
- **Columns:**
- n₀: Sample size
- c̅m: Capability index for two-sided tolerance
- c̅mk: Capability index for one-sided tolerance
- **Values:** Presents specific values for different sample sizes ranging from 20 to 50, indicating the required capability indices (c̅m and c̅mk) for determining machine capability.
**Analyzed Table Content:**
| n₀ | c̅m | c̅mk |
|----|-------|------|
| 20 | 2.28 | 1.93 |
| 25 | 2.19 | 1.85 |
| 30 | 2.13 | 1.79 |
| 35 | 2.08 | 1.75 |
| 40 | 2.05 | 1.72 |
| 45 | 2.02 | 1.70 |
| 50 | 2.00 | 1.67 |
- **Key Insights:**
- The table sets minimum thresholds for machine capability (c̅m and c̅mk) to ensure reliability and accuracy.
- As the sample size (n₀) increases, the required capability indices generally decrease, indicating tighter control requirements for smaller sample sizes.
**Process Descriptions:**
- The process of evaluation involves:
- Identifying and clarifying causes for outliers.
- Adjusting sampling sizes and evaluating their significant impact on the production process.
- Using set statistical criteria to determine machine capability.
- Special considerations for measurements with very small tolerances (e.g., T < 5µm).
**Perspective and Composition:**
- **Perspective:** The text is taken from a straight-on perspective, typical for document scanning.
- **Composition:** The document is segmented into sections with clear headings, paragraphs, and a table, making it structured and easy to follow.
**Contextual Significance:**
- **Overall Message:** This document section is a technical write-up on how to evaluate and confirm the capability of machines in a manufacturing setting, emphasizing the importance of statistical measures and precise evaluation criteria.
- **Contribution:** Provides standardized methods for assessing machine performance, ensuring consistency and reliability in manufacturing processes. The table aids in quick reference for required capability indices.
This analysis covers the relevant aspects of the provided document image, focusing on the detailed content and its significance for determining machine capability in a manufacturing context.
####################
File: VW%2010130_DE.pdf
Page: 29
Context: ```markdown
# 4.7 Maschinenoptimierung
Für den Fall, dass die Maschinenfähigkeit bezüglich des untersuchten Merkmals nicht nachgewiesen werden konnte, sind Maßnahmen zur Maschinenoptimierung erforderlich. Dazu sind die entsprechendenden Einflüsse zu identifizieren (z.B. mittels statistischer Versuchsmethodik DOE) und zu beseitigen.
# 4.8 Behandlung nicht fähiger Maschinen
Lässt sich die Maschinenfähigkeit mit wirtschaftlich vertretbaren Maschinenoptimierungen nicht erreichen, so sollte zunächst mit Hilfe der statistischen Toleranzenrechnung nach VW 01057 untersucht werden, ob eine Toleranzerweiterung zur Erreichung der Maschinenfähigkeit möglich ist. Ist auch durch diese Maßnahmen keine Maschinenfähigkeit zu erreichen, so ist zu entscheiden, ob die Maschine nach schriftlich vereinbarten Sonderregelungen abgenommen wird oder nicht. Diese Sonderregelungen sollten folgende Punkte enthalten:
- Begründungen für die Abnahme
- Risiko- und Kostenbetrachtungen
- gegebenenfalls einschränkende Fertigungs- und zusätzliche Prüfbedingungen
- Angabe der Verantwortlichkeit
```
Image Analysis:
### Comprehensive Examination of the Attached Visual Content
#### 1. Localization and Attribution
- The visual content is a single page document.
#### 2. Object Detection and Classification
- **Detected Objects and Categories:**
- Textual Content: The page contains typed German textual content.
- Sections/Sub-sections: The document is organized into distinct sections and sub-sections.
- Headers and Bullet Points: The document uses sections and bullet points to organize information.
#### 3. Scene and Activity Analysis
- **Scene Description:**
- The scene is a static page of a document containing structured written content.
- **Activities Taking Place:**
- There is no dynamic activity; the content is purely informational.
#### 4. Text Analysis
- **Detected Text:**
- Header: "Seite 29 VW 101 30: 2005-02"
- Section Header: "4.7 Maschinenoptimierung"
- Section Header: "4.8 Behandlung nicht fähiger Maschinen"
- Main Text Content: Provides information on machine capability, machine optimization, and handling of non-capable machines. Bulleted points list actions to be taken.
- **Content Analysis:**
- **Section 4.7 Maschinenoptimierung:**
- Discusses steps required for machine optimization if machine capability regarding the examined characteristic could not be proven.
- Recommends identifying influencing factors and eliminating them.
- **Section 4.8 Behandlung nicht fähiger Maschinen:**
- Addresses how to handle machines that are not capable (non-capable machines).
- Suggests investigating the possibility of statistical tolerance calculation according to VW 01057 or tolerance expansion to achieve machine capability.
- Lists points to consider in special regulations for non-capable machines:
- Reasons for acceptance
- Risk and cost considerations
- Possible restrictive manufacturing conditions and additional testing conditions
- Indication of responsibility
#### 5. Diagram and Chart Analysis
- Not applicable.
#### 6. Product Analysis
- Not applicable.
#### 7. Anomaly Detection
- No anomalies are detected. The document appears to be structured and organized according to standard document formatting.
#### 8. Color Analysis
- The document is primarily in grayscale, consisting of black text on a white background.
#### 9. Perspective and Composition
- **Perspective:**
- The document is viewed from a straight, head-on perspective typical of scanned or digitally created documents.
- **Composition:**
- The document composition includes a header, section titles, main text, and bullet points.
- Text is aligned to the left margin with consistent spacing and font size.
#### 10. Contextual Significance
- **Overall Document Analysis:**
- This page appears to be part of a technical document or manual likely related to Volkswagen (indicated by the header "VW 101 30: 2005-02").
- **Contribution to Overall Message:**
- The page provides detailed guidelines on improving machine capability and handling non-capable machines, essential for maintaining and improving manufacturing processes.
#### 12. Graph and Trend Analysis
- Not applicable.
#### 13. Graph Numbers
- Not applicable.
#### Process Descriptions
- **Section 4.7:**
- Describes a process for optimizing machines, involving identification and elimination of influences.
- **Section 4.8:**
- Outlines steps for investigating and handling non-capable machines, including statistical tolerance evaluation and consideration of regulatory factors.
#### Trend and Interpretation
- A clear trend toward structured problem-solving and process optimization in machine management.
#### Tables
- Not applicable.
####################
File: VW%2010130_DE.pdf
Page: 30
Context: # 5 Beispiele
## Beispiel 1:
Wellenmittelmesser mit einem Nennmaß von 20 mm, einem Mindestmaß von \(G_L = 19.7 \, \text{mm}\) und einem Höchstmaß von \(G_H = 20.3 \, \text{mm}\).
Aus den \(n = 50\) Messwerten der Stichprobe ergeben sich durch die statistischen Tests keine auffälligen, keine signifikante Lageänderung und keine signifikante Abweichung von einer zu erwartenden Normalverteilung. Es wurden folgende Stichprobenkennwerte ermittelt:
\[
\overline{x} = 20.05 \quad \text{und} \quad s = 0.05
\]
Es ergeben sich daher nach Formel (2.11) aus den Stichprobenkennwerten die folgenden Schätzwerte der Streuungsgrenzen für die normalverteilte Grundgesamtheit:
\[
x_{0.135} = \overline{x} - 3 \cdot s = (20.05 - 3 \cdot 0.05) \, \text{mm} = 19.9 \, \text{mm}
\]
\[
x_{99.865} = \overline{x} + 3 \cdot s = (20.05 + 3 \cdot 0.05) \, \text{mm} = 20.2 \, \text{mm}
\]
Und daraus ergeben sich schließlich die folgenden Fähigkeitskennwerte:
\[
\hat{C}_m = \frac{G_H - G_L}{x_{99.865} - x_{0.135}} = \frac{20.3 - 19.7}{20.2 - 19.9} = \frac{0.6}{0.3} = 2.0
\]
\[
\hat{C}_{mk} = \min \left( \frac{G_H - \overline{x}}{x_{99.865} - \overline{x}}, \frac{\overline{x} - G_L}{\overline{x} - x_{0.135}} \right) = \min \left( \frac{20.3 - 20.05}{20.2 - 20.05}, \frac{20.05 - 19.7}{20.05 - 19.9} \right)
\]
\[
= \min \left( \frac{0.25}{0.15}, \frac{0.35}{0.15} \right) = \min \left( 1.67, 2.33 \right) = 1.67
\]
Durch die ermittelten Fähigkeitskennwerte wird somit nachgewiesen, dass die Maschine bezüglich des betrachteten Wellenmitteldurchmessers die Fähigkeitsanforderungen gerade noch erfüllt.
**Abbildung 12**: Beispiel einer Fertigung mit dem Modell einer Normalverteilung und den Fähigkeitskennwerten \(C_m = 2.0\) und \(C_{mk} = 1.67\).
Image Analysis:
### Analysis of Attached Visual Content
#### 1. Localization and Attribution
- **Image 1:** Located on page 30 of the document. The page number and document identifier are found at the top of the page.
- **Image 2:** A diagram at the bottom of the page. The diagram includes a histogram with a normal distribution curve and descriptive text below it ("Bild 12 - Beispiel...").
#### 2. Object Detection and Classification
- **Image 1:**
- Text content consisting of an example problem involving statistical analysis of a waveform diameter.
- Mathematical formulas and calculations.
- A diagram labeled "Bild 12" illustrating a normal distribution.
- **Image 2 (Diagram Analysis):**
- Histogram showing data distribution.
- A normal distribution curve overlaying the histogram.
- Axes labeled "Häufigkeit" (Frequency) and "Messwert" (Measurement value).
#### 3. Scene and Activity Analysis
- **Image 1:** The document appears to be structured as a technical or mathematical text, providing an example problem involving measurements and statistical evaluation. There are no physical activities taking place as the content is purely textual and illustrative.
- **Image 2:** The histogram and normal distribution curve in the diagram visually represent a statistical analysis related to waveform measurements.
#### 4. Text Analysis
- The text includes German content and provides an example calculation involving diameter measurements of waveforms. It describes how to compute critical values and capability indices (\(\hat{c}_m\) and \(\hat{c}_{mk}\)).
- Relevant text extracted:
- Page header: "Seite 30" and "VW 101 30: 2005-02".
- Section title: "5 Beispiele. Beispiel 1: Wellendurchmesser..."
#### 5. Diagram and Chart Analysis
- **Image 2:**
- Histogram bars representing frequency distribution of measurement values.
- Normal distribution curve with key points: Mean (\( \mu \)), \( x_{0.135\%} \), and \( x_{99.865\%} \).
- Axes and Scales:
- X-axis (Messwert): Ranges from 19.70 to 20.30 mm with key measurements (19.7, 19.75, ..., 20.3).
- Y-axis (Häufigkeit): Represents the frequency but no specific numerical scale is provided.
- Insights:
- The machine's capability just meets the requirements (\( \hat{c}_m = 2.0 \) and \( \hat{c}_{mk} = 1.67 \)).
#### 8. Color Analysis
- Predominantly black and white.
- The histogram bars are grey.
- The normal distribution curve is black.
- The minimal use of color directs attention primarily to the data presentation.
#### 9. Perspective and Composition
- The perspective is straightforward with a standard frontal view typical for technical and scientific documents.
- Compositionally, the text provides detailed explanations and formulas, followed by a supporting diagram (histogram and normal curve) to visualize statistical results.
#### 10. Contextual Significance
- This document appears to be a technical standard or guideline, given its structured problem-solving approach and detailed statistical analyses.
- The image (diagram) substantially supports the textual content, demonstrating the distribution of measurements and the machine's capability indices visually.
#### 12. Graph and Trend Analysis
- **Image 2:**
- Trend: The histogram shows a roughly normal distribution of measurement frequencies around the mean value (~20.05 mm).
- Key points: The graph identifies critical measurement points \( x_{0.135\%} \) and \( x_{99.865\%} \) and highlights capability indices suggesting whether the manufacturing process meets the required standards.
#### 14. Tables
- No explicit tables are present in this image. The table-like structure may include numerical or mathematical data calculated in different parts of the text.
### Additional Aspects
- **Ablaufprozesse (Process Flows) and Prozessbeschreibungen (Process Descriptions):**
- The text details a process for evaluating waveform diameter measurements by stating procedures and calculations based on statistical analysis.
- **Typen Bezeichnung (Type Designations):**
- The document specifies different types of statistical values (e.g., \( \hat{\mu}, d = \pm 0.05 \)) and capability indices.
- **Trend and Interpretation:**
- The machine's capability values indicate near compliance with the required manufacturing standards.
This comprehensive analysis contains a detailed examination of each requested aspect of the attached visual content.
####################
File: VW%2010130_DE.pdf
Page: 31
Context: # Beispiel 2
Bohrung mit einer maximal zulässigen Positionsabweichung von \( G_0 = 0,2 \, \text{mm} \).
Aus den \( n = 50 \) Messwerten der Stichprobe ergaben sich durch die statistischen Tests keine Ausreißer, keine signifikanten Lagendauer und keine signifikante Abweichung von einer zu erwartenden Betragverteilung 2. Art. Es wurden folgende Stichprobenkenndaten ermittelt:
\[
\mu = 0,038 \, \text{mm} \quad \text{und} \quad d = 0,02 \, \text{mm}
\]
Aus den Stichprobenkenndaten ergibt sich das Verhältnis
\[
\frac{\mu}{d} = \frac{0,038}{0,02} = 1,9
\]
Da dieser Wert aufgrund der Zufallsstreuung der Stichprobenkenndaten kleiner als der Grenzwert 1,9131 nach Bedingung (2.23) ist, wird das Verhältnis auf diesen Grenzwert gesetzt, woraus sich wiederum eine Exzentrität von \( z = 0 \) ergibt.
Somit lässt sich der zweite Parameterwert der anpassenden Betragverteilung 2. Art nach dem Sonderfall (2.26) wie folgt berechnen:
\[
\sigma_{n} = 1,526 \cdot d = 1,526 \cdot 0,0305 \, \text{mm}
\]
Nach Formel (2.27) ergeben sich schließlich die Schätzwerte der Streubereichsgrenzen:
\[
x_{9,865} = 5,5485 - x_{0,135} = 5,5485 - 0,02 = 0,1111
\]
Nach den Formeln (2.3) und (2.4) ergeben sich schließlich die folgenden Fähigkeitskenndaten:
\[
C_{mk} = \frac{x_{9,865} - x_{0,135}}{G_0} = \frac{0,111 - 0,006}{0,2} = 1,83
\]
\[
C_{pk} = \frac{G_0 - \mu}{\sigma} = \frac{0,2 - 0,038}{0,111 - 0,038} = 2,22
\]
Durch den ermittelten Kennwert \( C_{mk} \) wird somit nachgewiesen, dass die Maschine bezüglich der Positionsabweichung einer Bohrung die Fähigkeitsanforderung erfüllt. Für den Kennwert \( C_{mk} \) ergibt sich aber eine Information über die Fertigungslage, wobei der kleinere \( C_{mk} \)-Wert angibt, dass dieser näher an der natürlichen Grenze Null liegt als am Höchstmaß.
Image Analysis:
### Comprehensive Examination of Attached Visual Content
#### 1. Localization and Attribution
- **Image 1:**
- Located at the top half of the page.
- **Image 2:**
- Found in the bottom half of the page, specifically depicting a chart.
#### 2. Object Detection and Classification
- **Image 1:**
- Objects: Text, Mathematical Formulas.
- Key Features: The detected objects primarily consist of paragraphs of text and several mathematical formulas or equations that deal with statistical analysis and manufacturing tolerances.
- **Image 2:**
- Objects: Chart.
- Key Features: A line chart with statistical data including curves and data points.
#### 3. Scene and Activity Analysis
- **Image 1:**
- Scene: A text-heavy explanation of results from statistical tests and calculations regarding positional deviations in manufacturing.
- Activity: The main actors are the statistical tests and calculations being presented and explained.
- **Image 2:**
- Scene: The chart visualizes the results of testing and modeling the statistical data related to manufacturing processes.
- Activity: Displaying the frequency distribution and capability indices from the calculated model.
#### 4. Text Analysis
- **Image 1:**
- Extracted Text:
- Title: "Beispiel 2:"
- Content discusses positional deviations in boreholes (G₀ = 0.2 mm), statistical tests on 50 measurements, and the determination of distribution parameters (μ and σ).
- Significance: Provides a detailed statistical analysis representing a manufacturing scenario where the positional deviation is tightly controlled and analyzed. Key calculations and their relevance are discussed.
- **Image 2:**
- Extracted Text:
- "Bild 13: Beispiel einer Fertigung mit dem Modell einer Betragsverteilung 2.Art und den Fähigkeitskennwerten 𝐶_𝑚 = 1,83 und 𝐶_𝑚,𝑘 = 2,22"
- Significance: The chart exemplifies the manufacturing capability using the statistical model and highlights key capability indices (Cm and Cmk).
#### 5. Diagram and Chart Analysis
- **Image 2:**
- Axes:
- X-axis: "Messwert" (Measurement Value), ranging from 0.00 to 0.18.
- Y-axis: "Häufigkeit" (Frequency), ranging from 0.00 to 1.40 approximately.
- Trends: The chart shows a distribution curve with key points marked (x0.135%, μ, x99.865%). The Cmk value indicates that the machine is meeting the required tolerance for positional deviation.
- Key Insights: The data visualization indicates that the manufacturing process is within the acceptable tolerance limits, as indicated by the calculated indices.
#### 8. Color Analysis
- **Image 2:**
- Dominant Colors: The chart is primarily in grayscale with black curves and axes.
- Impact: The use of grayscale in the chart makes the key points and distribution curves clear and easy to interpret.
#### 9. Perspective and Composition
- **Image 2:**
- Perspective: The chart is presented in a standard 2D view.
- Composition: The elements are arranged logically, with clear labeling of axes, key points, and a descriptive legend.
#### 12. Graph and Trend Analysis
- **Image 2:**
- Analysis of the graph shows the positional capabilities of the machine in relation to the tolerance specified (G₀ = 0.2 mm).
- The key trends indicate that most measurements lie within the acceptable range, and the capability indices (Cm = 1.83 and Cmk = 2.22) suggest high accuracy and precision in the manufacturing process.
#### 13. Graph Numbers
- **Image 2:**
- Data Points: The x-values range from 0.00 to 0.18 with the main distribution peak around the μ (mean) value. Specific numerical data points are not explicitly presented but are implied within the bounds of the curves plotted.
#### Additional Aspects
- **Process Descriptions:**
- The image describes processes involved in statistical testing for manufacturing deviations and adjustments based on the results.
- **Type Designations:**
- Types referred to include statistical parameters (e.g., mean (μ), standard deviation (σ), and capability indices (Cm, Cmk)).
- **Trend and Interpretation:**
- The trends indicate a reliable and capable manufacturing process, with measurements tightly grouped around the specified tolerance limits, reflecting process stability and control.
### Conclusion
The analysis of the attached visual content reveals a detailed examination of manufacturing positional deviations and statistical validation through charts and formulas. The provided explanations, charts, and statistical values (μ, σ, Cm, Cmk) collectively demonstrate a robust control over the manufacturing process, ensuring high precision and meeting the necessary quality standards.
####################
File: VW%2010130_DE.pdf
Page: 32
Context: # Beispiel 3:
**Wellendurchmesser mit einem Nennmaß von 20 mm, einem Mindestmaß von \( G_L = 19.7 \, mm \) und einem Höchstmaß von \( G_S = 20.3 \, mm \). Aus den \( n = 50 \) Messwerten der Stichprobe ergaben sich durch die statistischen Tests keine signifikanten Lageänderungen aber eine signifikante Abweichung von einer zu erwartenden Normalverteilung. Es erfolgt daher eine verteilungsfreie Auswertung nach Abschnitt 3.2.2. Dazu wurden folgende Stichprobenkennerwerte ermittelt:**
- \( \bar{x} = 20.202 \, mm, \, x_{max} = 20.199 \, mm \, und \, x_{min} = 19.85 \, mm \)
**Korrekturfaktor nach Formel (2.38) und Tabelle 1:**
- \( k = \frac{6}{d_n} = \frac{6}{4.5} = 1.33 \)
**Spannweite nach Formel (2.37):**
- \( R = x_{max} - x_{min} = (20.19 - 19.85) \, mm = 0.34 \, mm \)
**Nach Formel (2.36):**
- \( x_c = \frac{x_{max} + x_{min}}{2} = \frac{20.19 + 19.85}{2} = 20.02 \, mm \)
**Schätzer \( k \) für Streubreitengrenzen nach Formel (2.35):**
- \( \hat{x}_L = x_c - k \frac{R}{2} = 20.02 - 1.33 \frac{0.34}{2} = \frac{20.246 \, mm}{19.794} \)
**Somit ergeben sich nach den Formeln (2.29) und (2.30) die Fähigkeitskennerwerte:**
- \( \hat{c}_m = \frac{G_S - G_L}{\bar{x} - \hat{x}_L} = \frac{20.3 - 19.7}{20.246 - 19.794} = 1.33 \)
- \( \hat{c}_{mk} = \min \left( \frac{G_S - \bar{x}_{50%}, \, \bar{x}_{50%} - G_L}{\hat{x}_k - \hat{x}_{50%}} \right) = \frac{20.3 - 20.02}{20.246 - 20.02} = 1.24 \)
**Aus den ermittelten Fähigkeitskennwerten ist zu entnehmen, dass die Maschine bezüglich des betrachteten Merkmals nicht die Fähigkeitsanforderung erfüllt. Einen interessanten Hinweis in diesem Zusammenhang liefert die signifikante Abweichung von einer erwarteten Normalverteilung. Denn damit wird Optimierungspotenzial erkennbar, wie hier im Fall einer Mischverteilung.**
Image Analysis:
### Comprehensive Examination of the Attached Visual Content
#### 1. **Localization and Attribution:**
- A single page is analyzed with both text and a chart.
- **Image 1**: Contains the textual content and mathematical formulas.
- **Image 2**: Contains the chart labeled "Bild 14" at the bottom half of the page.
#### 2. **Object Detection and Classification:**
- **Image 1**: Text, mathematical formulas, and a table.
- **Image 2**: A histogram chart.
#### 3. **Scene and Activity Analysis:**
- **Image 1**: Describes a statistical analysis of manufacturing results for a wave diameter.
- **Image 2**: Shows a histogram chart analyzing measurement data.
#### 4. **Text Analysis:**
- **Detected Text**:
- The text provides a detailed analysis of manufacturing statistical results for a wave diameter.
- It includes formulas and calculations to determine various statistical measures like average, range, and capability indices (`c_m`, `c_mk`).
- Significant values such as mean (`x̄` = 20.02mm), max (`x_max` = 20.19mm), and min (`x_min` = 19.85mm) are provided.
- Conclusions are drawn regarding machine capability with specified capability indices (`c_m` = 1.33, `c_mk` = 1.24).
#### 5. **Diagram and Chart Analysis:**
- **Chart (Image 2)**:
- The x-axis is labeled "Messwert" (measurement), and the y-axis is labeled "Häufigkeit" (frequency).
- The histogram shows the frequency distribution of the measurement values with significant labels (`G_u`, `x̄_u`, `x̄_50%`, `x̄_o`).
#### 7. **Anomaly Detection:**
- No apparent anomalies are detected in the analysis. Everything aligns with the described process and analysis.
#### 8. **Color Analysis:**
- The image predominantly uses shades of gray (grayscale). The chart is also monochrome.
#### 9. **Perspective and Composition:**
- The perspective is a flat, front-facing view typical for scientific documentation.
- The composition is structured, with textual explanations, followed by visual representation.
#### 10. **Contextual Significance:**
- The image contributes to the understanding of statistical quality control in a manufacturing context.
- It provides clarity on how statistical measures and capability indices are calculated and interpreted.
#### 12. **Graph and Trend Analysis:**
- The histogram shows the variability and distribution of wave diameter measurements, highlighting the central tendency around `x̄_50%`.
#### 13. **Graph Numbers:**
- The graph illustrates the following data points for each bin:
- 19.7: frequency ~5
- 19.75: frequency ~7
- 19.8: frequency ~8
- 19.85: frequency ~10
- 19.9: frequency ~12
- 19.95: frequency ~15
- 20.0: frequency ~18
- 20.05: frequency ~15
- 20.10: frequency ~12
- 20.15: frequency ~10
- 20.20: frequency ~8
- 20.25: frequency ~4
#### **Ablaufprozesse (Process Flows):**
- Describes a quality control process through statistical analysis.
#### **Prozessbeschreibungen (Process Descriptions):**
- The process for calculating capability indices (`c_m`, `c_mk`) is detailed.
#### **Typen Bezeichnung (Type Designations):**
- Specifies the capability indices (`c_m` and `c_mk`) as key performance indicators.
#### **Trend and Interpretation:**
- The histogram suggests that while the process is centered around the target value, there is some dispersion indicating potential areas for optimization.
#### **Tables:**
- A table is included with corrections and calculations based on formulas 2.35, 2.38, 2.36, and 2.29 for estimating statistical measures.
### Summary:
The document provides a comprehensive statistical analysis of manufacturing results for wave diameter, including detailed calculations and a visual representation of the data distribution. The main takeaway is the machine's statistical capability, highlighted by the capability indices derived from the data.
####################
File: VW%2010130_DE.pdf
Page: 33
Context: # 6 Mitgeltende Unterlagen
- **VW 010 56** Zeichnungen; Form- und Lagetoleranzen
- **VW 010 57** Statistische Toleranzrechnung von Maßketten
- **VW 101 33** Test auf Auserßer
- **DIN 55319** Qualitätsfähigkeitskenngrößen
- **ISO 5479** Statistical interpretation of data – Tests for departure from the normal distribution
# 7 Literaturhinweise
1. Graf, Henning; Stange, W. ; Wilrich, Formeln und Tabellen der angewandten mathematischen Statistik, Springer-Verlag, Dritte Auflage, 1987
2. Kühlmeyer, M., Statistische Auswertungsmethoden für Ingenieure, Springer-Verlag, 2001
Image Analysis:
**Comprehensive Examination of the Attached Visual Content**
**1. Localization and Attribution:**
- **Image Placement:** The image is positioned occupying the entire visible space of the page.
- **Image Number:** Image 1
**4. Text Analysis:**
- **Detected Text:**
```
Seite 33
VW 101 30: 2005-02
6 Mitgeltende Unterlagen
VW 010 56 Zeichnungen; Form- und Lagetoleranzen
VW 010 57 Statistische Toleranzrechnung von Maßketten
VW 101 33 Test auf Ausreißer
DIN 55319 Qualitätsfähigkeitskenngrößen
ISO 5479 Statistical interpretation of data - Tests for departure from the normal distribution
7 Literaturhinweise
[1] Graf, Henning, Stange, Wilrich, Formeln und Tabellen der angewandten mathematischen Statistik, Springer-Verlag, Dritte Auflage, 1987
[2] Kühlmeyer M., Statistische Auswertungsmethoden für Ingenieure, Springer-Verlag, 2001
```
- **Text Content Analysis:**
- The text appears to be a part of a technical or academic document, specifically a standard or guideline related to statistical methods and quality control in engineering or manufacturing.
- **Section 6 "Mitgeltende Unterlagen" (Applicable Documents):** Lists standards and guidelines relevant to the main document, indicating topics like drawing and geometric tolerances (VW 010 56), statistical tolerance calculation of dimension chains (VW 010 57), outlier tests (VW 101 33), statistical capability indices (DIN 55319), and tests for departure from normal distribution (ISO 5479).
- **Section 7 "Literaturhinweise" (References):** Lists references to literature for further reading, including mathematical statistics formulas and tables (Graf et al., 1987) and a book on statistical evaluation methods for engineers (Kühlmeyer, 2001).
**9. Perspective and Composition:**
- The image is a direct scan or digital capture of a single page from a larger document.
- The composition is a standard layout for technical documents with headings, lists, and references clearly formatted.
**10. Contextual Significance:**
- The image contributes to the overall understanding of the document by providing references and applicable documents, which are essential for ensuring that the content is well-supported by existing standards and literature.
- It indicates the document’s technical nature, focusing on statistical methods and standards used in engineering or manufacturing contexts.
**Conclusion:**
- The analyzed image serves as a page from a technical document, detailing relevant standards and literature references. It adds significant context to the document, aiding readers in understanding the basis and authoritative sources of the document's content.
####################
File: VW%2010130_DE.pdf
Page: 34
Context: # Stichwortverzeichnis
## Stichwort | Seite
----------------------|------
A | I
absolute Häufigkeit α | 10, 17
absolute Summenhäufigkeit A | 17 K
α-Risiko | 20
Alternativhypothese | 20
angepasste Fähigkeitsgrenzwerte | 19, 28
A usrüster | 20, 26 L
Aussagewahrscheinlichkeit γ | 20, 26 L
B | M
Bedingungen zur MFU | 24
β-Risiko | 20
Beitragsverteilung 1. Art | 5, 11
Beitragsverteilung 2. Art | 7, 13
betriebswarme Maschine | 24
C |
Capability | 3
Chiquadrat-Verteilung | 18
D |
Datenauswertung | 25
Dichtefunktion f(x) | 4
Dokumentation | 27
E |
eingeschränkte MFU | 25
effektiver Stichprobenumfang n_e | 10, 24
Epps-Pulley-Test | 20, 26
Ergebnisbeurteilung | 28
Erwartungswert der w-Verteilung d_n | 17
Exzentrizität z | 7
F |
Fähigkeitsermittlung | 8
Fähigkeitskennwerte c_n und c_rk | 3, 9
Fähigkeitskennwerte | 18, 28
Fertigungslage | 3, 28
Fertigungsgesteuerung | 3, 4
Fertigungseinfolge | 24
Freiheitsgrad | 18
G |
Grenzwerte zur Maschinenfähigkeit | 18, 28
H |
Hampel-Test | 20
Häufigkeitsverteilung | 10, 17
Höchstmaß G_0 | 3, 9
I |
Irrtumswahrscheinlichkeit α | 20
K |
Klassenzweite Δx | 17
Klassische Messwerte | 10, 17
Korrekturfaktor k | 17
L |
Lage | 3
M |
Maschinenoptimierung | 29
Maschinenstörungen | 24
N |
Medianw ert | 16
Merkmalart | 4, 25
Merkmalwert | 3
Messmethode | 24
O |
Mindestma G_u | 3, 9
P |
Parameter einer Verteilung | 3
Prüfkörper | 20
Prüfwert | 20
Prüfmittelanwendung | 24
Q |
Quantil | 9
R |
Rayleigh-Verteilung | 7
radiale Abweichung | 8
Rohtieichung | 24
Rundung von Fähigkeitswerten | 18
Run-Test | 20
Image Analysis:
### Detailed Image Analysis
**Localization and Attribution:**
- **Image Number**: Image 1
- **Position**: Full Page
**Text Analysis:**
####################
File: VW%2010130_DE.pdf
Page: 34
Context: **Text Analysis:**
1. **Detected Text:**
- Title: "VW 101 30: 2005-02"
- Page Number: "Seite 34"
- Sections:
- **A**:
- Absolute Häufigkeit a: Seite 10, 17
- Absolute Summenhäufigkeit A: Seite 17
- α-Risiko: Seite 20
- Alternativhypothese: Seite 20
- Angepasste Fähigkeitsgrenzwerte: Seite 19, 28
- Ausreißer: Seite 20, 26
- Aussagewahrscheinlichkeit γ: Seite 20, 26
- **B**:
- Bedingungen zur MFU: Seite 24
- β-Risiko: Seite 20
- Betragsverteilung 1. Art: Seite 5, 11
- Betragsverteilung 2. Art: Seite 7, 13
- Betriebswarme Maschine: Seite 4
- **C**:
- Capability: Seite 3
- Chi-Quadrat-Verteilung: Seite 18
- **D**:
- Datenauswertung: Seite 25 N
- Dichtefunktion f(x): Seite 4
- Dokumentation: Seite 27
- **E**:
- Eingeschränkte MFU: Seite 25 P
- Effektiver Stichprobenumfang ne: Seite 10, 24
- Epps-Pulley-Test: Seite 20, 26 Pri
- Ergebnisbeurteilung: Seite 28
- Erwartungswert der v-Verteilung dn: Seite 17
- Exzentrizität z: Seite 7 Q
- **F**:
- Fähigkeitskennwerte: Seite 18, 28 R
- Fähigkeitsermittlung: Seite 8
- Fähigkeitskennwerte cn und cmk: Seite 3, 9
- Fähigkeitsgrenzwerte: Seite 18, 28
- Fertigungslage: Seite 3, 28
- Fertigungsauslegung: Seite 3, 8 radiale
- Fertigungsreinfolge: Seite 24
- Fertigungsgrad: Seite 18
- **G**:
- Grenzwerte zur Maschinenfähigkeit: Seite 18, 28
- **H**:
- Hampel-Test: Seite 20
- Häufigkeitsverteilung: Seite 10, 17
- Höchstmaß Go: Seite 3, 9
- **I**:
- Irrtumswahrscheinlichkeit α: Seite 20
- **K**:
- Klassenbreite Δx: Seite 17
- Klassierte Messwerte: Seite 10, 17
- Korrekturfaktor k: Seite 17
- **L**:
- Lage: Seite 3
- **M**:
- Maschinenoptimierung: Seite 29
- Maschinenstörungen: Seite 24
- Medianwert: Seite 16
- Merkmalart: Seite 4, 25
- Merkmalswert: Seite 3 Merkmethod
- Mesmethode: Seite 24
- Mindestmaß Gu: Seite 3, 9
- Mischverteilung: Seite 26, 32
- Mittelwert μ: Seite 4, 10
- **N**:
- Normalverteilung: Seite 4, 10
- Nullhypothese: Seite 20
- Nullpunktverschiebung: Seite 6
- **P**:
- Parameter einer Verteilung: Seite 3
- Prüfgröße: Seite 20, 26
- Prüfwert: Seite 20
- Prüfmitteleanwendung: Seite 24
- **Q**:
- Quantil: Seite 9
- - der stardarisierten Normalverteilung: Seite 18
- - der Chi-Quadratverteilung: Seite 18
- **R**:
- R: Seite 28
- Rayleigh-Verteilung: Seite 7
- radiale Abweichung r: Seite 7
- Rohteillage: Seite 24
- Rundung von Fähigkeitswerten: Seite 18 R.-Test
- Run-Test: Seite 20
- The text indicates a comprehensive index, listing various statistical terms, methods, and related concepts, each tagged with corresponding page numbers.
**Contextual Significance:**
- This page appears to be an index from a statistical or technical manual, potentially related to quality management, data analysis, or a specific standard (as indicated by "VW 101 30").
- The structured layout and extensive vocabulary suggest it is meant for professional use, likely by engineers, statisticians, or quality control managers.
There were no other aspects (such as specific objects, scenes, diagrams, or charts) presented within this image, primarily focusing on text indexing.
####################
File: VW%2010130_DE.pdf
Page: 35
Context: # Stichwortverzeichnis
| Stichwort | Seite | Stichwort | Seite |
|-------------------------------------------|-------|----------------------------------------|-------|
| S | | V | |
| Schätzung / Schätzwert | 8, 9 | Varianz σ² | 4 |
| Schwellenwert | 20 | Verteilung | 4 |
| Serienbedingungen | 24 | Verteilungsfreie Schätzung | 16, 27|
| signifikante Änderung / Abweichung | 20 | Verteilungsfunktion F(x) | 5 |
| Spannweite R | 17 | Verteilungsmodell | 4 |
| Standardabweichung σ | 4, 10 | Vertrauensbereichsgrenze | 18 |
| standardisierte Normalverteilung | 5 | Verarbeitungsqualität | 17 |
| - U-Transformation | | W | |
| - Verteilungsfunktion Φ(μ₀) | | Wahrscheinlichkeitsfunktion p | 5 |
| - Wahrscheinlichkeitsdichtefunktion f(x) | | Wahrscheinlichkeitsnetz | 27 |
| statistische Tests | 25 | Wahrscheinlichkeit 2 | 28 |
| statistische Toleranzrechnung | | Fehlervorstellung | 29 |
| statistischer Anteilbereich | | Werkzeugwechsel / -verstellung | 24 |
| Stichprobenentnahme | 24 | W-Verteilung | 17 |
| Stichprobenumfang | 24 | Z | 3 |
| Streubereichsgrenzen | 3, 10 | Zufallseinflüsse | 3 |
| Swed-Eisenhard-Test | 20 | | |
# T
## Test
- auf Ausreißer | 20, 26
- auf festgelegtes Verteilungsmodell | 20, 26
- auf Änderung der Fertigungslage | 20, 26
- Toleranzerweiterung | 29
- Toleranzintervall | 3, 8
- toleriertes Merkmal | 4
- einseitig nach oben | 9, 16
- einseitig nach unten | 9, 16
- zweiseitig | 9, 16
- Trendverlauf | 26
Image Analysis:
Here is the comprehensive examination of the provided visual content:
### 1. Localization and Attribution:
- **Image Position**: The content consists of a single page.
- **Image Number**: This will be referred to as **Image 1**.
### 4. Text Analysis:
- **Detected Text**: The image contains a list of keywords (Stichwort), their corresponding page numbers (Seite), and is organized into sections based on the initial letter of the keywords.
- **Content Analysis**:
- The keywords are organized alphabetically under various letters such as S, T, V, and Z.
- Each keyword is associated with a specific page number, indicating where more detailed information can be found in the document.
**Example Entries**:
- **S:**
- Schätzung / Schätzwerte (8, 9)
- Schwellenwert (20)
- Signifikante Änderung / Abweichung (20)
- Streubereichsgrenzen (3, 10)
- **V:**
- Varianz σ² (4)
- Verteilung (4)
- Vertrauensbereichsgrenze (18)
- Verteilungsmodell (4)
- **T:**
- Test auf Ausreißer (20, 26)
- Toleranzintervall (3, 8)
- **Z:**
- Zufallseinflüsse (3)
The entries under each letter appear to cover a range of statistics-related terms, likely part of a larger statistical or quality control manual.
### 11. Metadata Analysis:
- **Document Information**:
- The document seems to be part of a larger manual or standard, labeled as “VW 101 30: 2005-02”.
- Page reference at the top right indicates this page is “Seite 35” (Page 35).
### 12. Graph and Trend Analysis:
- **Trends and Interpretation**: While no graphical data or trends are directly shown in this specific image, the text references to statistical terms, distributions, and tests suggest that the broader document might include detailed statistical data and analyses.
### Additional Aspects:
- **Prozessbeschreibungen (Process Descriptions)**:
- The mention of specific test types (e.g., Test auf Ausreißer, Toleranzintervall) implies that the document contains detailed processes for statistical testing and tolerance interval determination.
- **Typen Bezeichnung (Type Designations)**:
- Designations such as Vertrauensbereichsgrenze (confidence interval), Varianz (variance), and Verteilungsmodell (distribution model) indicate categorization of statistical concepts.
### Overall Analysis:
- **Contextual Significance**:
- The page appears to be part of an index or glossary from a larger statistical or quality control manual, used for navigating the document and finding specific statistical terms and test procedures.
- This contributes to the ease of use of the manual, allowing users to quickly locate the information they need based on standardized keywords.
This analysis provides a comprehensive overview of the detected elements and their contextual significance within the provided page.
####################
File: Interni%20smernice%20-%20komponenty%20SZ_DE%281%29.pdf
Page: 1
Context: # Škoda Auto a.s.
## Richtlinie für die Vereinheitlichung von Elementen
### Projekt Erneuerung der Produktionsanlagen im Bereich PKG
**Ausgabedatum:** 28.01.2020
**PSZ/1 - Methodik und Standardisierung**
**1 - H - 20 DE**
Diese Richtlinie hebt die Gültigkeit von früher erlassenen Richtlinien, Normen, Lastenheft und ITS ŠkodaAuto nicht auf. Bei Komponenten, bei denen mehrere Lieferanten genehmigt sind, wird bei der Vergabe von Lieferungen projektbezogener Anlagen immer nur ein Lieferant vertraglich festgelegt. Potentielle Lieferanten sind Lieferanten, die entweder die Projektfreigabe bereits bekommen haben, oder bei denen davon ausgegangen werden, dass sie nach Erprobung und Erfüllung der Konzernstandards die Projektfreigabe noch bekommen können.
### Bearbeitet von:
- Martin Janata
PSZ/12
tel.: +420 732 294 691
- Milan vpychraticky
PKG/4
tel.: +420 732 294 226
### Genehmigt von:
- Aleš Ivanović
PSZ/1
tel.: +420 730 869 870
- Ing. Ladislav Treml
PKG/4
tel.: +420 732 294 945
- Ing. Roman Taneček
PPK/2
tel.: +420 604 292 729
### Übersicht von Änderungen:
| Datum | Seite | Anmerkung |
|-------------|-----------|------------------|
| 28.01.2020 | Erste Ausgabe | |
**Seite 1 von 4**
Image Analysis:
### Analysis of Attached Visual Content
#### 1. Localization and Attribution:
- **Image 1** is the sole image on the page.
#### 2. Object Detection and Classification:
- **Objects Identified:**
- Logo of the company on the top right.
- Text blocks.
- Table at the bottom.
- Signatures and stamps in the middle section.
#### 3. Scene and Activity Analysis:
- **Scene Description:**
- The image is a formal document, likely a guideline or standardization directive from Škoda Auto a.s.
- The document includes text, signatures, stamps, and a table.
- **Activities:**
- It appears to be an official document describing processes and approvals with multiple individuals involved.
#### 4. Text Analysis:
- **Text Extracted:**
- Company name: Škoda Auto a.s.
- Document title: "Richtlinie für die Vereinheitlichung von Elementen Projekt Erneuerung der Produktionsanlagen im Bereich PKG"
- Issue date: "Ausgabedatum: 28.01.2020"
- Internal Reference: "PSZ/1 - Methodik und Standardisierung"
- Document ID: "1 - H - 20 DE"
- Details of people involved with contact information:
- Bearbeitet von: Martin Janata, Milan Vypratchicky
- Genehmigt von: Aleš Ivanovic, Ladislav Treml, Ing. Roman Taneček
- Text on process validity and supplier selection.
- **Significance:**
- The document establishes guidelines for the standardization of elements in a project related to the renewal of production facilities.
- The dates and contact details provide insight into the document’s time frame and responsible individuals.
- The signatures and stamps indicate formal approval and verification.
#### 7. Anomaly Detection:
- **Possible Anomalies:**
- None detected. Every element appears to be standard for an official document, including signatures, stamps, text content, and layout.
#### 9. Perspective and Composition:
- **Perspective:**
- The image is presented from a straight-on perspective, typical for document scanning or digital reproduction.
- **Composition:**
- The elements are neatly organized, with the title and critical information at the top, followed by the main body text and contact information. Signatures and stamps occupy the middle, and a table for amendments is at the bottom.
#### 12. Graph and Trend Analysis:
- **Tables:**
- One table is included, titled "Übersicht von änderungen" which translates to "Overview of changes".
- **Columns:**
- Datum (Date)
- Seite (Page)
- Anmerkung (Comment)
- Only one row is filled, indicating the date "28.01.2020", referencing the first issue of the document.
#### Contextual Significance:
- **Context Analysis:**
- The document is likely part of a series of formal corporate guidelines for operational procedures.
- It represents a step toward structured and standardized operational enhancements within the company's production domains.
By analyzing this document, one can infer the formal and systematic approach taken by Škoda Auto to ensure compliance with internal standards and improve production facilities, underscoring the importance of standardized directives in corporate operations.
####################
File: Interni%20smernice%20-%20komponenty%20SZ_DE%281%29.pdf
Page: 2
Context: # Škoda Auto a.s.
**Richtlinie für die Vereinheitlichung von Elementen**
**Projekt Erneuerung der Produktionsanlagen im Bereich PKG**
**Ausgabedatum: 28.01.2020**
**PSZ/1 - Methodik und Standardisierung**
## I. Teil: Standards für Produktionsanlagen und Komponenten
Die untenstehenden Standards für den Bereich der Aggregaterfertigung im VW-Konzern sind verbindlich:
1. Lastenheft Mechanik (im Weiteren KLH Mechanik)
2. Lastenheft Elektrik (im Weiteren KLH Elektrik)
3. ITS ŠkodaAuto, viz.: [CZ version](#) | [DE version](#)
| Nr. | Produktionsanlagen/Komponenten | Freigegebene Lieferanten | Potentielle Lieferanten | Anmerkungen |
|-----|----------------------------------|-------------------------------------|-------------------------------------|------------------------------------|
| 1 | Elektrik, Steuerungstechnik | s. Teile Elektro, S. 3-4 | ITS: 1.11, 5.13 |
| 0.1 | Dokumentation Elektrik und Steuerungstechnik | Eplan P8 ver. 2.2 oder höher | | |
| 2 | Mechanik | Festo, SMC | Norgren | ITS: 1.10 |
| 3 | Pneumatik | | | ITS: 1.13 |
| 4 | Schmieren | SKF Lubrikation | | ITS: 1.17 |
| 5 | Hydraulik | Bosch Rexroth, Parker | | ITS: 1.12 |
| 6 | Filtertechnik | Hydac, Mahle, Bosch Rexroth | | ITS: 1.12 |
| 0.6 | Pumpen | KSB, Knoll, Grundfos | Viz KLH Mechanik | |
| 7 | Schraubtechnik | Bosch Rexroth | | Bosch Rexroth system BS350 |
## II. Teil: Elektrik, Steuerungssysteme
Seite 2 von 4
Image Analysis:
### Localization and Attribution:
- **Image Position**: Single image on the page.
- **Image Number**: Image 1.
### Text Analysis:
- **Header Text**: "Richtlinie für die Vereinheitlichung von Elementen Projekt Erneuerung der Produktionsanlagen im Bereich PKG."
- **Translation**: "Guideline for the Standardization of Elements Project Renewal of Production Plants in the PKG Area."
- **Issued Date**: "Ausgabedatum: 28.01.2020"
- **Translation**: "Issue Date: 28.01.2020"
- **Publisher**: "Škoda Auto a.s. PSZ/1 - Methodik und Standardisierung"
- **Translation**: "Škoda Auto a.s. PSZ/1 - Methodology and Standardization"
- **Title**: "Standards für Produktionsanlagen und Komponenten"
- **Translation**: "Standards for Production Plants and Components."
#### Section I:
- **Main Title**: "Die untenstehenden Standards für den Bereich der Aggregatfertigung im VW-Konzern sind verbindlich:"
- **Translation**: "The following standards for the area of aggregate production in the VW Group are binding:"
- **Subsections**:
1. "Lastenheft Mechanik (im Weiteren KLH Mechanik)" - "Mechanical Specifications (hereinafter KLH Mechanik)"
2. "Lastenheft Elektrik (im Weiteren KLH Elektrik)" - "Electrical Specifications (hereinafter KLH Elektrik)"
3. "ITS ŠkodaAuto, viz.:" - "ITS ŠkodaAuto, namely:"
- Links: "CZ version" and "DE version"
#### Table:
- **Table Content**:
- **Headers**:
- **Columns**: Nr., Produktionsanlagen/Komponenten (Production Plants/Components), Freigegebene Lieferanten (Approved Suppliers), Potentielle Lieferanten (Potential Suppliers), Anmerkungen (Remarks).
- **Table Data**:
- **Rows**:
1. Elektrik, Steuerungstechnik
- **Freigegebene Lieferanten**: s. Teile Elektro, S. 3-4
- **Anmerkungen**: ITS: 1.11, 5.13
2. Dokumentation Elektrik und Steuerungstechnik
- **Freigegebene Lieferanten**: Eplan P8 ver. 2.2 oder höher
- **Anmerkungen**: ITS: 1.10
3. Mechanik
- **Freigegebene Lieferanten**: Festo, SMC
- **Potentielle Lieferanten**: Norgren
- **Anmerkungen**: ITS: 1.13
4. Pneumatik
- **Freigegebene Lieferanten**: SKF Lubrikation
- **Anmerkungen**: ITS: 1.17
5. Hydraulik
- **Freigegebene Lieferanten**: Bosch Rexroth, Parker
- **Anmerkungen**: ITS: 1.12
6. Filtertechnik
- **Freigegebene Lieferanten**: Hydac, Mahle, Bosch Rexroth
- **Anmerkungen**: ITS: 1.12
7. Pumpen
- **Freigegebene Lieferanten**: KSB, Knoll, Grundfos
- **Anmerkungen**: Viz KLH Mechanik
8. Schraubtechnik
- **Freigegebene Lieferanten**: Bosch Rexroth
- **Potentielle Lieferanten**: Bosch Rexroth system BS350
#### Footer:
- **Section II Title**: "II. Teil: Elektrik, Steuerungssysteme"
- **Translation**: "Part II: Electrical, Control Systems."
- **Page Number**: "Seite 2 von 4"
- **Translation**: "Page 2 of 4."
### Object Detection and Classification:
- **Document Type**: This is a technical document outlining standards for production plants and components.
- **Logo**: The Škoda logo is present in the top-right corner of the document.
### Scene and Activity Analysis:
- **Activity**: The document is a guideline for the standardization of elements in the production plants of Škoda Auto, detailing approved suppliers, potential suppliers, and relevant remarks for various components and systems.
### Color Analysis:
- **Color Composition**:
- Dominant colors are white (background) and black (text).
- The Škoda logo is green.
- The table headers are shaded in green.
### Perspective and Composition:
- **Perspective**: The document seems to be a scanned image of a printed page, taken from a top-down perspective.
- **Composition**: The text is organized in a standard document layout with headers, body text, and tables for clear and easy reading.
### Contextual Significance:
- **Significance**:
- The document provides important standards and guidelines necessary for ensuring consistency and quality in the production processes within the VW Group, specifically for Škoda Auto.
### Metadata Analysis:
- **Available Metadata**: Issued date, authoring body, document type, and page number.
- **Contributing Information**: Helps in understanding the document's official nature, issuance context, and page indexing for reference.
####################
File: Interni%20smernice%20-%20komponenty%20SZ_DE%281%29.pdf
Page: 3
Context: # Škoda Auto a.s.
Richtlinie für die Vereinheitlichung von Elementen
Projekt Erneuerung der Produktionsanlagen im Bereich PKG
Ausgabedatum: 28.01.2020
## PSZ/1 - Methodik und Standardisierung
1 - H - 20 DE
| Nr. | Produktionsanlagen/Komponenten | Lieferantenfreigabe | Potentielle Lieferanten | Anmerkungen |
|-----|-------------------------------------------|--------------------------|-------------------------------|-----------------------------------|
| 1 | Steuerungssysteme SPS(PLC) | Siemens | Siemens Simatic S7 Baureihe | 1500 - TIA V14 und höher |
| 2 | NC - Steuerung | Siemens | Siemens (Sinumerik 840D sl.) | |
| 3 | PC- und Panel-PC-basierte Steuerungs- | Siemens | System - Simatic S7 (HW SPS) | Profinet |
| 4 | Visualisierung | Siemens WinCC Flexible | WinCC Flexible 2008 | |
| 5 | Steuerungspanels | Siemens | | |
| 6 | Dezentrale Sammlung | Profinet | Profibus, IO-link | |
| 6.1 | Passiver Stecker-Injektoren (Sensoren, Ventile) | Balluff, Murrelektronik | | IO-link |
| 7 | Zentraler Peripherie | Siemens | ABB | Kuka (K istin VKR 4) |
| 8 | Roboter | ABB | | |
| 9 | Elektrische Frequenzantriebe – Umrichter | SEW Eurodrive | Siemens | VW Konzern Freigabe |
| 10 | Elektrische Servo-Antriebe | Siemens, Bosch Rexroth | Siemens | Spezifikation Škoda Auto a.s. |
| 11 | Steuerungselemente – Tasten, Kontrollleuchte | Schneider Electric | Siemens | Spezifikation Škoda Auto a.s. |
| 12 | Zweihändige Bedienung | Schneider Electric | Schmersal-Eilan | Spezifikation Škoda Auto a.s. |
| 13 | Elektroschränke (Verteiler) | Rittal | VW Konzern Freigabe | |
| 14 | Klemmenkästen | Rittal | VW Konzern Freigabe | |
| 15 | Kühlung Verteilerstraße (Klimanalage) | Sick | Spezifikation Škoda Auto a.s. |
| 16 | Lichtschranken / Vorhänge / Scanner | ASO - Contra, Pilz, Schneider Electric | | Spezifikation Škoda Auto a.s. |
| 17 | DMC- und Strichcode-Lesegerät | IOSS | Cognex, Keyence, Balluff | Spezifikation Škoda Auto a.s. |
| 18 | Erkennungssysteme | Balluff, Turck-Banner | Siemens | Spezifikation Škoda Auto a.s. |
| 19 | Schalt- und Sicherungselemente | Siemens, Murrelektronik | Schneider Electric | Spezifikation Škoda Auto a.s. |
| 20 | Optische Sensoren | Sick, IFM Electronic, Balluff | | Spezifikation Škoda Auto a.s. |
**Seite 3 von 4**
Image Analysis:
### Image Analysis
---
#### 1. **Image Localization and Attribution**
- **Image Number**: Image 1
- **Location**: The image occupies the entire page.
#### 4. **Text Analysis**
- **Detected Text**:
- **Headers and Titles**:
- "Škoda Auto a.s."
- "Richtlinie für die Vereinheitlichung von Elementen Projekt Erneuerung der Produktionsanlagen im Bereich PKG"
- "Ausgabedatum: 28.01.2020"
- "PSZ/1 - Methodik und Standardisierung"
- "1 - H - 20 DE"
- **Table Contents**:
- **Header Row**:
- "Nr."
- "Produktionsanlagen/Komponenten"
- "Lieferantenfreigabe"
- "Potentielle Lieferanten"
- "Anmerkungen"
- **Rows 1-20**:
Contains various production components, their suppliers, potential suppliers, and comments/notes about each component.
- **Text Analysis**:
- The text appears to be a part of a standardization document detailing approved and potential suppliers for different production components used by Škoda Auto a.s.
- **Table Headers** are used to categorize and systematically present the information for easy reference.
- **Column Headers**:
- "Nr.": Item number.
- "Produktionsanlagen/Komponenten": Production systems/components.
- "Lieferantenfreigabe": Approved supplier.
- "Potentielle Lieferanten": Potential suppliers.
- "Anmerkungen": Comments/notes.
- **Significance**:
- This table is likely part of an internal audit or standardization guideline to ensure consistency in the supplier selection process.
- The issue date "28.01.2020" suggests the date of the document’s release, which may indicate when the information was verified or updated.
#### 12. **Tables**
- **Table Content Detail**:
- The table lists 20 items, each representing a specific component or production system used by Škoda Auto a.s.
- **nr** ranges from 1 to 20, providing a serial order for components.
- **Produktionsanlagen/Komponenten** includes items like "Steuerungssysteme SPS/PLC" and "NC - Steuerungen".
- **Lieferantenfreigabe** usually indicates the primary supplier (most entries list "Siemens").
- **Potentielle Lieferanten** presents alternative suppliers.
- **Anmerkungen** column provides additional details about compatibility, standards, specifications, etc.
#### 13. **Graph Numbers**
- **Data Points for Each Row**:
- Example for Row 1:
- Nr: 1
- Produktionsanlagen/Komponenten: Steuerungssysteme SPS/PLC
- Lieferantenfreigabe: Siemens
- Potentielle Lieferanten: (Blank)
- Anmerkungen: Siemens Simatic S7 Baureihe 1500 - TIA V14 und höher
- Full list omissible for brevity but follows a similar structure.
#### 9. **Perspective and Composition**
- **Perspective**:
- The information is presented in a straightforward, top-down view, making it easily readable.
- **Composition**:
- The image has a balanced layout with the table taking the central focus.
- Branding elements such as the Skoda logo and headers are prominent at the top, suggesting the document’s authority and official capacity.
---
### Conclusion
The image represents a structured table detailing standardization and supplier information for Škoda Auto a.s.'s production components. This aligns with internal documentation possibly used for auditing or updating supplier compliance. The dominant colors green and white reinforce the brand identity while maintaining clarity and readability.
####################
File: Interni%20smernice%20-%20komponenty%20SZ_DE%281%29.pdf
Page: 4
Context: # Škoda Auto a.s.
## Richtlinie für die Vereinheitlichung von Elementen
### Projekt Erneuerung der Produktionsanlagen im Bereich PKG
**Ausgabedatum:** 28.01.2020
**PSZ/1 - Methodik und Standardisierung**
**1 - H - 20 DE**
| Nr. | Produktionsanlagen/Komponenten | Lieferanteneinfreigabe | Potenzielle Lieferanten | Anmerkungen |
|-----|------------------------------------------------------------|-------------------------------|-------------------------------------------|---------------------------------------|
| 21 | Induktionssensoren, Positionsschalter und | Balluff, IFM Electronic | Sick | Spezifikation Škoda Auto a.s. |
| 22 | Klemme und Klemmenzubehör | Phoenix Contact, Wago | Siemens | Spezifikation Škoda Auto a.s. |
| 23 | Durchflussmesser und Thermometer | IFM Electronic, Hydac | Parker, Bosch Rexroth | Spezifikation Škoda Auto a.s. |
| 24 | Sensoren- und Endschaltinstallation | Balluff - Lumberg | Pepper+Fuchs | Spezifikation Škoda Auto a.s. |
| | Kabel, Stecker und Sensorenzubehör | Mur elektronik | | |
| 25 | Stecker – schwer und leicht | Harting, Phoenix Contact, Weidmüller | Murrelektronik | |
| 26 | Lichtsignaliserung – Blauleuchte und | Murrelektronik | Siemens | |
| 27 | Nockensicherheits-schalter | Schmersal | Balluff | |
| 28 | Sicherheitsschalter an Schutzzäunen, Fenster usw. | Pilz, Schmersal | | Spezifikation Škoda Auto a.s. |
| 29 | Sicherheitssysteme und Sicherheitsmodule | Pilz, Siemens | Schneider Electric | Pilz (PNOZsigma), Siemens (S7 3xxF) |
| 30 | Mechanisches Endeschalter | Balluff, Siemens | Euchner | Spezifikation Škoda Auto a.s. |
| 31 | Installationskabel | LAPP Kabel | Hellukabel | |
| 32 | Hochfrequenzkabel | LAPP Kabel | Hellukabel | |
| 33 | Überspannungsschutzelemente | Hakel | ABB | |
| 34 | Kabelkanäle und -rinnen | OBO-Bettermann, Niedax | Kopos Kolin | |
| 35 | Energieschiene bewegliche Kabelbieten | Murrelektronik | Brevetti | |
| 36 | Optische Sensoren | IFM, Keyence | Sick | Spezifikation Škoda Auto a.s. |
| 37 | Kamerasysteme, lineare, Winkel | Cognex, Keyence | Sick | |
| 38 | Wegemesssysteme, linear, Winkels | HEIDENHAIN | Siemens, APC, Murrelektronik | Phoenix Contact |
| 40 | Drucksensoren | Rexroth, Parker, IFM | Hydac | |
Seite 4 von 4
Image Analysis:
### Localization and Attribution
- **Image Number:** 1.
- **Location:** The single image occupies the entire page.
### Text Analysis
**Text Detected:**
- **Title:** "Škoda Auto a.s."
- **Subheading:** "Richtlinie für die Vereinheitlichung von Elementen Projekt Erneuerung der Produktionsanlagen im Bereich PKG"
- **Date:** "Ausgabedatum: 28.01.2020"
- **Section:** "PSZ/1 - Methodik und Standardisierung"
- **Document Number:** "1 - H - 20 DE"
- **Table Header Columns:**
- "Nr."
- "Produktionsanlagen/Komponenten"
- "Lieferantenfreigabe"
- "Potentielle Lieferanten"
- "Anmerkungen"
- **Numbered Entries:** 21 to 40.
**Content Analysis:**
The document appears to be a standardized guideline for Škoda Auto a.s., relating to the unification of elements in the project for renewing production facilities in the PKG area. The table organizes specific components and systems, listing approved suppliers (Lieferantenfreigabe), potential suppliers (Potentielle Lieferanten), and specific notes or remarks (Anmerkungen).
### Table Analysis
**Table Content Description:**
- **Table Rows:** The table consists of 20 rows, each representing a different production system or component, numbered from 21 to 40.
- **Columns:**
- **Nr.:** Number identifier for each row.
- **Produktionsanlagen/Komponenten:** Identifies the industrial equipment or component needed.
- **Lieferantenfreigabe:** Lists the approved suppliers for each component.
- **Potentielle Lieferanten:** Lists potential future suppliers.
- **Anmerkungen:** Includes notes or specifications relevant to each component.
### Color Analysis
- **Dominant Colors:**
- **Green:** Used for highlighting the header row (Nr. 21 column header, and rest of the header row).
- **Yellow:** Used for the sub-headers (Lieferantenfreigabe, Potentielle Lieferanten, and Anmerkungen).
- **White:** Main background of the table cells.
- **Impact on Perception:** The green and yellow highlights make the table more navigable, drawing attention to the different categories of content.
### Perspective and Composition
- **Perspective:** The image is taken from a straight-ahead view, ensuring readability and clarity.
- **Composition:** The document is neatly structured with a centered table taking the majority of space. Text blocks above and below the table provide context and additional information.
### Contextual Significance
- **Document Purpose:** The document’s purpose is to provide a standardized framework for updating and maintaining production systems and elements.
- **Contribution to Overall Message:** The table aids in clear communication regarding approved and potential suppliers, ensuring that project stakeholders are aligned on procurement and specification details.
### Metadata Analysis
- **Date:** The metadata provides the publication date of the document as 28.01.2020, which is crucial for understanding the timeframe of the guidelines.
- **Publisher/Issuer:** Škoda Auto a.s., situating the document within the automotive manufacturing industry.
### Gesamtprozesse (Overall Processes) and Interpretation
- **Processes Described:**
- The table highlights elements required for production system renewal, traversing various steps from selecting suppliers to ensuring compliance with the specified standards.
- **Significance:** Ensuring streamlined, efficient, and standardized processes for renewing production systems, ultimately contributing to operational efficiency and quality control in manufacturing.
### Tables Structured Data Points
- **Entries:**
- Row 21: Induktionssensoren, Positionsschalter und Lichtschranken.
- Row 22: Klemme und Klemmenzubehör.
- Row 23: Durchflussmesser und Thermometer.
- Row 24: Sensoren- und Endschalterinstallation, Kabel, Stecker und Sensorenzubehör.
- Row 25: Stecker - schwer und leicht.
- Row 26: Lichtsignalisierung - Baulichter und Signalleuchten.
- Row 27: Nockensicherheitsschalter.
- Row 28: Sicherheitsschalter an Schutztüren, Fenstern usw.
- Row 29: Sicherheitssystem und Sicherheitsmodule.
- Row 30: Mechanische Endschalter.
- Row 31: Installationskabel.
- Row 32: Hochflexible Kabel.
- Row 33: Überspannungsschutzelemente.
- Row 34: Kabelkanäle und -rinnen.
- Row 35: Energiebwegliche Kabelketten.
- Row 36: Optische Sensoren.
- Row 37: Kamerasysteme.
- Row 38: Wegmesssysteme, linear, Winkel.
- Row 39: Reserveeinspeisungsquellen.
- Row 40: Drucksensoren.
This comprehensive analysis provides a detailed look at the structure, content, and significance of the presented document.
####################
File: Anfrage%20Mail.pdf
Page: 1
Context: # Haas, Ulrich
**Von:** Haug, Ralf
**Gesendet:** Freitag, 13. September 2024 14:46
**An:** Haas, Ulrich
**Cc:** Ruoff, Andreas; Kuck, Winfried; Haas, Sonja
**Betreff:** Skoda MB SSP MGH und GGH
Hallo Herr Haß,
Wie gestern besprochen, anbei vorab unsere Anfrage Skoda MB SSP MGH und GGH:
- Angebotspräsentation MAG MGH und GGH
- Lastenheft Skoda MGH und GGH
- Layout
- Lastenheft Automation MAG - folgt
[Link zum Dokument](https://netfiles.de/8f8adb200fa835316823b5850a55a7b7beef48d7b34e840feca03b49f6d;K319ImMY)
Die besprochenen Punkte:
- Traceability/Anbindung an Kundenrechner
- Mobile Wartungsbühne mit/ohne elektr. Absicherung
Versuchen wir mit dem Kunden zu klären.
Freundlich grüßt / Best regards,
Ralf Haug
Projektleiter Verkauf
Project Manager Auxiliary Equipment
---
FFG Europe & Americas
MAG IAS GmbH
Salacher Straße 93
73034 Eislingen
Germany
tel: +49 71 61 805-1281
mobil: +49 1515 1676628
ralf.haug@mag-ias.com
[www.mag-ias.com](http://www.mag-ias.com)
Follow us on: [Instagram](https://www.instagram.com) | [LinkedIn](https://www.linkedin.com) | [YouTube](https://www.youtube.com)
---
MAG IAS GmbH, Salacher Straße 93, DE-73034 Eislingen/Filis
Sitz der Gesellschaft / Registered Seat: Eislingen/Filis
Registergericht / Registration Court: AG Ulm HRB 720 186
Geschäftsführung / Managing Directors: Dr. Sebastian Schönning, Bin Sun
---
### Show
**Summer 2024**
6–10 June | Coimbatore, India
22–26 July | Farnborough, UK
8 August | Sterling Heights, USA
10–14 September | Stuttgart, Germany
[www.ffg-qa.com](http://www.ffg-qa.com)
Image Analysis:
## Analysis of the Attached Visual Content
### 1. Localization and Attribution
- **Image 1**: The main email content on the page, including the email header, introduction, and body text.
- **Image 2**: The section with contact information, company logos, and social media links.
- **Image 3**: The footer section, including visit invitations and legal information of the company.
### 2. Text Analysis
#### **Image 1**
- **Text Detected**:
- **Header**: "Haass, Ulrich", "Von: Haup Ralf"
- **Main Body**:
```
Hallo Herr Haas,
Wie gestern besprochen anbei vorau unsere Anfrage Skoda MB SSP MGH und GGH
- Anfragepräsentation MAG MGH und GGH
- Lastenheft Skoda MGH und GGH
- Layout
- Lastenheft Automation MAG - folgt
Die besprochenen Punkte:
- Traceability/Anbindung an Kundelrecher
- Mobile Wartungsbuhne mit/ohne elektr. Absicherung
Versuchen wir mit dem Kunden zu klaren
Freundlich grusst / Best regards,
Ralf Haug
Projektleiter Zukauf
Project Manager Auxiliary Equipment
```
**Significance**: The email details a business communication, likely concerning project proposals and specific requirements for Skoda. It includes a presentation and various project deliverables such as a "lastenheft" (requirements specification).
#### **Image 2**
- **Text Detected**:
```
FFG Europe & Americas
MAG IAS GmbH
Salacher Straße 93
73054 Eislingen
Germany
Tel: +49 71 61 805-1281
Mobil: +49 1515 1676628
Follow us on Instagram, Linkedin, Youtube
```
**Significance**: This section provides essential contact details and links to social media channels for further engagement or inquiries.
#### **Image 3**
- **Text Detected**:
```
Show Summer 2024
Visit us
6-10 June Coimbatore, India
22-26 July Farnborough, UK
8 August Sterling Heights, USA
10-14 September Stuttgart, Germany
MAG IAS GmbH, Salacher Straße 93, DE-73054 Eislingen/Fils
Sitz der Gesellschaft / Registered Seat: Eislingen/Fils
Registergericht / Registration Court: AG Ulm HRB 720 186
Geschäftsführung / Managing Directors: Dr. Sebastian Schöning, Bin Sun
```
**Significance**: This section outlines upcoming events and exhibitions where the company will be present, thus encouraging networking and showcasing opportunities.
### 3. Object Detection and Classification
#### **Image 1**:
- **Objects Found**:
- Email header and body text.
- Dates and paragraphs detailing a business proposal and the discussed points.
#### **Image 2**:
- **Objects Found**:
- Company logos and icons for social media platforms.
- Contact details (phone number, emails).
#### **Image 3**:
- **Objects Found**:
- Invitation for various events with dates and locations.
- Legal information about the company structure.
### 4. Scene and Activity Analysis
- **Scene**: The composite scene over these three images represents a professional email and information document targeting business partners or potential customers.
- **Activity**: The main activity is the transmission of important business-related information including project specifications, contact details, and event invitations.
### 5. Color Analysis
- **Dominant Colors**:
- **Email Content (Image 1)**: Primarily black and white, suggesting a focus on readability and professionalism.
- **Contact Information Section (Image 2)**: Includes colors from various logos (blue, red, green), indicating brand identification.
- **Event Invitation Section (Image 3)**: Uses a combination of green background and white text, making it inviting and attractive.
### 6. Perspective and Composition
- **Perspective**: All images are presented in a straight-on view, typical for textual communication and document presentation.
- **Composition**:
- **Image 1**: Structured as an email with header, body text, and bullet points for clarity.
- **Image 2**: Centrally aligned, providing clear and easy access to contact details.
- **Image 3**: Designed with a promotional focus, highlighting events and legal information.
### 7. Contextual Significance
- The entire visual content aims to convey professional communication regarding a project between MAG IAS GmbH and Skoda. It highlights the importance of networking, project specifications, and following up on discussed points. The inclusion of company contact details and event information further establishes credibility and invites further interaction.
By addressing these key aspects, the analysis offers a detailed comprehension of the visual content and its significance.
####################
File: Anfrage%20Mail.pdf
Page: 2
Context: # Aufsichtsrat / Supervisory Board
**Dr. Hans Ulrich Golz (Chairman)**
---
Diese E-Mail enthält vertrauliche oder rechtlich geschützte Informationen. Wenn Sie nicht der beabsichtigte Empfänger sind, informieren Sie bitte sofort den Absender und löschen Sie diese E-Mail. Das unbefugte Kopieren dieser E-Mail oder die unbefugte Weitergabe der erhaltenen Informationen ist nicht gestattet.
---
The information contained in this message is confidential or protected by law. If you are not the intended recipient, please contact the sender and delete this message. Any unauthorised copying of this message or unauthorised distribution of the information contained herein is prohibited.
####################
File: MGH%20Anlage%2014.pdf
Page: 1
Context: # Clamping MGH
## OP10
### General Overview
- New geometry that was added by Škoda tool shop
-  🔴
-  ➡️
-  ⚪
-  ⬇️
### Visual Representation
- **Top View**
- **Side View**
- **Bottom View**
### Safety Precautions
- Always ensure that clamping mechanisms are securely fastened and functional.
- Regularly inspect the integrity of the new geometries.
### Additional Notes
- Reference document:
- **S3 | 05.08.2024 | Clamping MGH | PPK-E | Georgy Komarov**
---
_Internal document_
Image Analysis:
### 1. Localization and Attribution:
- **Image Structure**: The image contains multiple sections merged into one; hence, it will be analyzed as a single comprehensive image.
### 2. Object Detection and Classification:
- **Objects**:
- Components of mechanical parts in grey.
- Green highlighted areas indicating new geometry added by Skoda tool shop.
- Red symbols indicating various fixtures like fixed part rest, clamp, location pins, and chucks.
### 3. Scene and Activity Analysis:
- **Scene Description**:
- Mechanical parts are shown in three detailed sections with indicators for assembly processes.
- **Activities**:
- The diagram is illustrating the clamping setup for a part labeled MGH, particularly in operation step OP10, involving multiple mechanical sub-steps.
### 4. Text Analysis:
- **Detected Text**:
- Titles and Labels:
- "Clamping MGH"
- "OP10"
- "New geometry that was added by Skoda tool shop"
- Symbols like "fixed part rest", "clamp", "location pins", "2- and 3-jaw chucks"
- Footer Information:
- "S3 | 05.08.2024 | Clamping MGH | PPK-E | Georgy Komarov"
- "INTERNAL"
- "SKODA"
- **Text Significance**:
- The text provides instructions and details about the clamping procedure, emphasizing the involvement of the Skoda tool shop and the specific operation steps (OP10).
### 5. Diagram and Chart Analysis:
- **Diagrams**:
- The visual contains mechanical diagrams identifying specific areas relevant to the clamping process. Green areas signify new additions, while red symbols denote various mechanical fixtures.
### 7. Anomaly Detection:
- **Anomalies**:
- No noticeable anomalies specific to the technical context.
### 8. Color Analysis:
- **Color Composition**:
- Predominantly grey-scale mechanical parts.
- Green highlights indicating new geometric additions.
- Red symbols and arrows used for guiding fixtures and processes.
- **Impact on Perception**:
- The grayscale provides clarity on mechanical part details, while green and red colors highlight essential modifications and operable components, respectively.
### 9. Perspective and Composition:
- **Perspective**:
- Top and front views are presented for detailed analysis of mechanical parts.
- **Composition**:
- Central mechanical parts with annotations and color-coded guides placed around the parts to highlight specific components and processes.
### 12. Graph and Trend Analysis:
- **Trends**:
- The diagram focuses on showcasing areas modified by new geometry and where specific fixtures such as clamps and chucks should be placed.
### 13. Graph Numbers:
- **Data Points**:
- Not applicable as the image does not contain numerical graph data points.
### Additional Aspects:
- **Ablaufprozesse (Process Flows)**:
- The image outlines a detailed process flow showing how parts should be positioned and clamped during the OP10 operation step.
- **Prozessbeschreibungen (Process Descriptions)**:
- Detailed clamping and assembly process described through annotated symbols and highlights.
- **Typen Bezeichnung (Type Designations)**:
- Fixed part rest, clamp, location pins, and 2- and 3-jaw chucks are identified as specific types of fixtures used in the process.
### Contextual Significance:
- **Overall Document Significance**:
- The image contributes detailed visual guidance crucial for assembling mechanical parts, likely for internal use within SKODA, as indicated by the "INTERNAL" label at the bottom.
### Summary:
- The image provides a thorough guide for a clamping process (OP10) of a mechanical part (MGH).
- Annotations include color-coded highlights and symbols to indicate new geometry added and the types of fixtures used.
- Text and diagrams collectively help in understanding the detailed assembly procedure in a manufacturing or tool shop context for SKODA.
####################
File: MGH%20Anlage%2014.pdf
Page: 2
Context: # Clamping MGH
## OP20 and Following
One of four part rests can be movable.
### Components
- **Fixed part rest**
- 
- **Clamp**
- 
- **Location Pins**
- 
- **2- and 3-Jaw Chucks**
- 
### New Geometry
- New geometry that was added by Skoda tool shop (indicated in green).
Image Analysis:
### Analysis of Visual Content
#### 1. Localization and Attribution
- **Image 1:** The image on the left.
- **Image 2:** The image on the right.
#### 2. Object Detection and Classification
- **Image 1:**
- Detected Objects: Fixed part rests, clamps, location pins, and new geometry added by the Skoda tool shop.
- Key Features: The fixed part rests are marked with triangular symbols, clamps with downward arrows, location pins with target-like symbols, and new geometry sections highlighted in green.
- **Image 2:**
- Detected Objects: Fixed part rests, clamps, location pins, 2- and 3-jaw chucks, and new geometry added by the Skoda tool shop.
- Key Features: The symbols used to identify different parts are consistent with Image 1. Additional symbols indicate 2- and 3-jaw chucks with upward arrows and circles.
#### 3. Scene and Activity Analysis
- **Image 1 and Image 2:**
- Scene: Both images showcase a mechanical part, likely an engine component, with various annotations indicating locations for clamps, rests, and new geometries.
- Activities: The images are likely used for instructional purposes in a manufacturing or machining process, detailing how and where different clamps and fixtures should be applied.
#### 4. Text Analysis
- **Image 1 and Image 2:**
- Detected Text:
- "Clamping MGH OP20 and following"
- "One of four part rest can be movable"
- Symbols indicating fixed part rest, clamp, location pins, and 2- and 3-jaw chucks.
- Analysis: The text provides instructions and information about how the component should be clamped during the manufacturing process. The significance lies in guiding operators on the proper use of fixtures and clamps, with flexibility in the usage of one part rest being movable.
#### 5. Diagram and Chart Analysis
- **Image 1 and Image 2:**
- The diagrams illustrate a mechanical component with various annotations regarding part clamping and geometry changes. The visual annotations guide where each clamp, rest, and pin should be placed, supplemented by the color-coded additions in green.
#### 6. Product Analysis
- **Image 1 and Image 2:**
- Products Depicted: Mechanical component, possibly an engine or transmission part.
- Main Features: Various resting points, clamping locations, and location pins, with added new geometry sections.
- Materials and Colors: Grey-shaded parts indicating the base component and green highlighting new geometry sections.
#### 7. Anomaly Detection
- No anomalies detected in the context of the technical illustration. All elements seem purposeful and intentional as part of the instructional schematic.
#### 8. Color Analysis
- **Image 1 and Image 2:**
- Dominant Colors: Grey for the main component and green for newly added geometries.
- Impact: The color differentiation helps in clearly distinguishing new additions from the existing component structure, enhancing the instructional clarity.
#### 9. Perspective and Composition
- **Image 1 and Image 2:**
- Perspective: Both images are likely technical renders or CAD models showing different angles of the same component.
- Composition: The key elements of the diagrams (rests, clamps, pins) are strategically labeled, making it clear for manufacturing purposes.
#### 10. Contextual Significance
- **Image 1 and Image 2:**
- The images serve as part of a technical document detailing the clamping process for a mechanical component. They contribute to the overall theme by providing crucial visual instructions for accurate component handling.
### Additional Aspects:
#### Ablaufprozesse (Process Flows)
- The diagrams outline the flow of how and where to apply the clamps and rests during the manufacturing process.
#### Prozessbeschreibungen (Process Descriptions)
- Descriptions involve the methods of clamping and the potential movement of one part rest in the operation.
#### Typen Bezeichnung (Type Designations)
- The type designations are indicated by symbols for fixed part rests, clamps, location pins, and 2- and 3-jaw chucks.
#### Trend and Interpretation
- Trends indicate a well-detailed and systematic approach to ensuring precise clamping in the manufacturing process.
#### Tables
- No tables are present in the provided images.
In summary, the attached images are comprehensive technical illustrations meant to guide a precise and systematic clamping process for a mechanical component, with appropriate annotations, detailed text instructions, and clear visual markers to facilitate the manufacturing workflow.
####################
File: MGH%20Anlage%2014.pdf
Page: 3
Context: # Clamping MGH
## OP20 and Following
- **Location Pins** 
- **2- and 3-Jaw Chucks** 
- **Fixed Part Rest** 
- **Clamp** 
For location orientation, the marked holes with dimension **12H7** will be used. After clamping on the holes, there may be some "optical issues," but dimension **12H7** must be kept. Holes then are used for the positioning of the axle on the assembly line (see description of T, S datums on the drawing – clipping on the next slide).
Image Analysis:
### Comprehensive Examination Results
#### 1. Localization and Attribution:
- **Image 1**: Only one image is present on the page, so labeled as Image 1.
#### 2. Object Detection and Classification:
- **Image 1**:
- **Detected Objects**:
- Engine component or machinery part.
- Location pins.
- 2- and 3-jaw chucks.
- Fixed part rests.
- Clamps.
- **Classification**:
- Category: Mechanical Parts and Engine Assembly.
- **Key Features**:
- Complex mechanical structure with multiple elements for clamping and fixing.
#### 3. Scene and Activity Analysis:
- **Image 1**:
- **Scene Description**:
- The image depicts a section of a mechanical part focusing on how it should be clamped for the operational process OP20 and following steps.
- **Activities**:
- The main focus is on the attachment and orientation of the mechanical part using various clamping and positioning mechanisms.
#### 4. Text Analysis:
- **Image 1**:
- **Detected Text**:
- Clamping MGH
- OP20 and following
- location pins
- 2- and 3-jaw chucks
- fixed part rest
- clamp
- For location orientation will be used marked holes with dimension 12H7. After clamping on the holes can stay some "optical issues", but dimension 12H7 must be kept. Holes then are used for the positioning of the axle on the assembly line (see description of T, S datums on the drawing - clipping on the next slide).
- SKODA
- INTERNAL
- **Text Significance**:
- Provides instructions and specifications for clamping the mechanical part.
- Highlights the dimensions and requirements critical for the assembly process.
#### 5. Diagram and Chart Analysis:
- **Not Applicable**.
#### 6. Product Analysis:
- **Image 1**:
- **Depicted Products**:
- Engine component with multiple clamps and orientation pins.
- New geometry added (highlighted in green) by Skoda tool shop.
- **Comparison**:
- Not applicable, as only one product is depicted.
#### 7. Anomaly Detection:
- **Not Applicable**.
#### 8. Color Analysis:
- **Image 1**:
- **Color Composition**:
- Dominant Colors: Grey (metal part), Red (annotations), Green (new geometry).
- **Impact**:
- Green highlights the modifications made by the Skoda tool shop.
- Red is used to draw attention to key clamping elements.
#### 9. Perspective and Composition:
- **Image 1**:
- **Perspective**:
- Side view with some top-down elements of the engine or machinery part.
- **Composition**:
- The mechanical part is centrally placed with text and annotations around it to explain detailed instructions and specifications.
#### 10. Contextual Significance:
- **Image 1**:
- **Contribution to Document**:
- It provides essential information on clamping and positioning a mechanical part for further processing in the production line, which is likely part of an instruction manual or technical document.
#### 11. Metadata Analysis:
- **Not Applicable**.
#### 12. Graph and Trend Analysis:
- **Not Applicable**.
#### 13. Graph Numbers:
- **Not Applicable**.
#### Ablaufprozesse (Process Flows):
- **Image 1**:
- **Depicted Process Flows**:
- Clamping process using pins, chucks, and fixed rests.
- Ensuring proper orientation with marked holes of dimension 12H7.
#### Prozessbeschreibungen (Process Descriptions):
- **Image 1**:
- Detailed description of clamping and positioning steps for the mechanical part.
#### Typen Bezeichnung (Type Designations):
- **Image 1**:
- **Fixed Locations, Clamps**: Various components for mechanical clamping and positioning.
#### Trend and Interpretation:
- **Not Applicable**.
#### Tables:
- **Not Applicable**.
####################
File: MGH%20Anlage%2014.pdf
Page: 4
Context: # Clamping MGH
## OP20 and following
| Index | Description |
|-------|------------------------------------------------|
| 1 | Anbringeliste Teilnahme Bohrung |
| 2 | Rohrflansch Detail Sillflans |
| 3 | Gehäuseschraube Routinierung |
| 4 | Druckpunktbohrung |
| 5 | Öl Dichtungswechsel |
| 6 | Beffestigung Rahmeneck |
| 7 | Anbringeliste obere Schale |
| 8 | Anbringeliste mittlere Schale |
| 9 | Außenmutter Zylinderkopf |
### Additional Information
- The figures marked as **T** and **S** correspond to specific assembly locations on the component.
Image Analysis:
**Image Analysis**
1. **Localization and Attribution:**
- The image is single and occupies the entire page.
- It will be referred to as **Image 1**.
2. **Object Detection and Classification:**
- **Object Detected:** An engineering drawing of a mechanical part, likely an automotive component, possibly a gear housing or engine part.
- **Classification:** Mechanical/Engineering drawing, highlighting various parts.
3. **Scene and Activity Analysis:**
- **Scene Description:** The image depicts an exploded view of a mechanical part with multiple annotations pointing to specific components.
- **Activities:** No specific activities are visible as it's a technical drawing.
4. **Text Analysis:**
- **Detected Text:**
- Title: "Clamping MGH"
- Subtitle: "OP20 and following"
- Description List (column format with numbers and descriptions):
- 1. Rückholfeder Bohrrung
- 2. Rollenlager Bolz Stiftaufnahme
- 3. Getriebeputzen Drosselklappenaufnahmen
- 4. Getriebeputzen Roeachauffnahmen
- 5. Öl Rücklauf Getriebeputze
- 6. Getriebeputzen Paddelhubung
- 7. Achse und Lager Töpfe
- 8. Rückhaltfeder Passstift/Führung
- 9. Kugellagerbohrung
- 10. Kugellager Dichtungsflansch
- 11. Druckstift Bohrung
- 12. Leerlauf Knopf Lagerbohrung
- 13. Drossel Kugellagerbohrung
- 14. Ölniveaustand Bolzen
- 15. Öl Vettel Aufnahmebrücke
- 16. Maximalen Zündblitzlage fest Sitz
- **Text Significance:** The text provides detailed descriptions of the components and parts of the mechanical drawing, useful for understanding assembly or maintenance procedures.
5. **Diagram and Chart Analysis:**
- **Type of Diagram:** Annotated mechanical drawing
- **Components Labeled:** Various parts are labeled with letters and numbers correlating to descriptions in the text box. These include E, F, P, T, S, etc.
6. **Product Analysis:**
- **Product Depiction:** The mechanical part likely belongs to an internal component of a vehicle, such as a transmission or engine housing.
- **Key Features:** Multiple bolt holes, complex internal pathways for fluids or air, mounting points for bearings or other parts.
- **Materials:** Likely metal, typically aluminum or cast iron for such components.
7. **Anomaly Detection:**
- **Possible Anomalies:** No apparent anomalies in the technical drawing as it follows standard conventions for mechanical engineering schematics.
8. **Color Analysis:**
- **Color Composition:** The image is primarily black and white, typical for technical schematics to ensure clarity.
- **Impact:** The monochrome scheme focuses attention on structural details without distraction from colors.
9. **Perspective and Composition:**
- **Perspective:** The drawing has a detailed perspective view, showing depth and contours.
- **Composition:** The mechanical part is centrally placed with annotations clearly indicating key sections and features on the drawing.
10. **Contextual Significance:**
- **Overall Document Context:** Likely part of a technical manual or engineering specifications document, crucial for automotive repair or assembly processes.
- **Contribution:** Provides detailed insights into the assembly and components of the mechanical part, essential for technicians or engineers.
11. **Metadata Analysis:**
- **Caption Information:**
- "S3 | 05.08.2024 | Clamping MGH | PPK-E | Georgy Komarov"
- **Significance:** Indicates the version (S3), date (05.08.2024), component type (Clamping MGH), document type (PPK-E), and possibly the creator (Georgy Komarov).
13. **Graph Numbers:**
- **Column Breakdown:**
- Data rows from 1 to 16, each corresponding to a specific component listed in the text analysis.
**Additional Aspects:**
- **Ablaufprozesse (Process Flows):**
- The text and drawing suggest a sequential clamping or assembly process.
- **Prozessbeschreibungen (Process Descriptions):**
- Detailed process descriptions are provided in the text beside the numbers, likely for assembly or quality checks.
- **Typen Bezeichnung (Type Designations):**
- The text provides type designations for various mechanical components such as "Rückholfeder Bohrrung" and "Rollenlager Bolz Stiftaufnahme".
- **Tables:**
- The text list acts much like a table, matching numbered descriptions to parts on the drawing.
Overall, **Image 1** serves as an intricate and detailed guide for understanding and working with a mechanical component, likely aimed at individuals in technical fields such as automotive engineering and maintenance.
####################
File: MGH%20Anlage%2014.pdf
Page: 5
Context: # Clamping MGH
## Remarks to clamping
- Holes on the casting do not have the same axles with final machined holes on the done part. It is also relevant for indexes OP20.
- Clamping pads for OP20 need to be milled to be perpendicular to indexes' axles.
Image Analysis:
### Localization and Attribution:
- **Image 1**: Located on the left side of the page, depicting a CAD model of a component with dimensions highlighted.
- **Image 2**: Located below Image 1, showing a section of the same or another component.
### Object Detection and Classification:
- **Image 1:**
- **Object**: A CAD model of a mechanical component, likely part of a larger assembly, with specific dimensions highlighted in green.
- **Features**: The model shows a detailed structure with various protrusions, cavities, and highlighted dimensions of 13.5 and 103.5.
- **Image 2:**
- **Object**: A smaller section of a mechanical component with one visible hole.
- **Features**: The component appears to be a clamping part, with a cyan-colored surface, indicating the area of interest.
### Scene and Activity Analysis:
- **Image 1**:
- **Scene**: A technical illustration of a mechanical component with dimensions for specific features.
- **Activity**: Measurement and precise dimensioning of parts for manufacturing or quality control purposes.
- **Image 2**:
- **Scene**: A close-up of a component section, likely for detailed analysis or highlighting a critical feature.
- **Activity**: Inspection of specific areas of a mechanical part for design or manufacturing adjustments.
### Text Analysis:
- **Detected Text**:
- Title: "Clamping MGH"
- Subtitle: "Remarks to clamping"
- Bullet Points:
- “Holes on the casting do not have the same axles with final machined holes on the done part. It is also relevant for indexes OP20.”
- “Clamping pads for OP20 need to be milled to be perpendicular to indexes' axles.”
- Footer Information:
- "S3 | 05.08.2024 | Clamping MGH | PPK-E | Georgy Komarov"
- "INTERNAL"
- **Analysis and Significance**:
- The text provides technical notes and remarks related to the clamping (“MGH”) process.
- It mentions specific observations such as the misalignment of casting holes with final machined holes and the requirement for milling clamping pads perpendicularly.
- These remarks are critical for ensuring the accuracy and precision of the machining and clamping process.
### Diagram and Chart Analysis:
- **Image 1**:
- **Diagram**: The highlighted dimensions (13.5 and 103.5 mm) in the CAD model serve as a visual guide for machining or inspection.
- **Insights**: Highlight specific areas requiring attention for manufacturing or quality checks.
### Product Analysis:
- **Products Depicted**:
- **Mechanical Components**: Likely part of an automotive or machinery assembly, designed for precision clamping and machining.
- **Features**: Detailed CAD models showing specific measurements and structural features for accurate manufacturing.
### Anomaly Detection:
- **Possible Anomalies**:
- Misalignment of casting holes with final machined holes.
- **Impact**: Such anomalies can lead to mechanical issues or failures if not addressed. It stresses the need for precise manufacturing and inspection processes.
### Color Analysis:
- **Dominant Colors**:
- Green: Highlighting specific dimensions.
- Cyan: Highlighting a section in Image 2.
- **Impact**: Use of color emphasizes critical features and dimensions, aiding in visual analysis and ensuring focus on important areas.
### Perspective and Composition:
- **Perspective**:
- **Image 1**: Isometric view providing a clear 3D representation of the component.
- **Image 2**: Close-up view for detailed inspection.
- **Composition**:
- The arrangement facilitates focus on specific technical features, with clear annotations.
### Ablaufsprozesse (Process Flows):
- Highlights issues related to the clamping process and necessary steps for milling and adjusting clamping pads for precise alignment.
### Prozessbeschreibungen (Process Descriptions):
- Described processes involve identifying and resolving alignment issues in casting and final machining stages, and necessary adjustments to clamping pads.
### Typen Bezeichnung (Type Designations):
- **OP20**: Likely refers to a specific operational process or part designation within the manufacturing workflow.
####################
File: MGH%20Anlage%2014.pdf
Page: 6
Context: # BACK-UP
**Document Information:**
- **Version:** S3
- **Date:** 06.08.2024
- **Document Type:** Clamping MGH | PPK-E
- **Author:** Georgy Komarov
**INTERNAL**
####################
File: MGH%20Anlage%2014.pdf
Page: 7
Context: # Clamping MGH
## Previous clamping points for OP10
### Clamping surfaces and projections of rest pads
| Status | Image |
|--------|-------------------------------------|
| NOK |  |
| OK |  |
| NOK |  |
Note: Replace `image_url_1`, `image_url_2`, and `image_url_3` with the actual URLs of the images.
Image Analysis:
### Image Analysis
#### 1. Localization and Attribution:
- **Image 1**: Positioned on the left side.
- **Image 2**: Positioned in the center.
- **Image 3**: Positioned on the right side.
#### 2. Object Detection and Classification:
- **Image 1**:
- Detected Object: A section of a mechanical assembly with clamping points.
- Key Features: Green clamping surface highlighted with an arrow indicating "Previous."
- **Image 2**:
- Detected Object: Another section of a mechanical assembly with different clamping points.
- Key Features: Green clamping area marked "OK" with the arrow indicating "Previous."
- **Image 3**:
- Detected Object: Different mechanical assembly area with clamping points.
- Key Features: Green clamping surface highlighted as "Previous" with arrow and labeled "NOK."
#### 3. Scene and Activity Analysis:
- **Image 1**:
- Scene: A close-up of a mechanical part showing clamping surfaces.
- Main Actor: The clamping surfaces.
- Action: Illustration of a previously used clamping method designated as "NOK" (not okay).
- **Image 2**:
- Scene: Close-up of the same or similar mechanical part with a focus on a different spot.
- Main Actor: The clamping surface.
- Action: Illustration of a different previously used clamping method designated as "OK."
- **Image 3**:
- Scene: Close-up on another section of the mechanical part.
- Main Actor: Clamping surface.
- Action: Illustration of another previously used clamping method designated as "NOK."
#### 4. Text Analysis:
- **Text Detected**:
- "Clamping MGH"
- "Previous clamping points for OP10"
- "Clamping surfaces and projections of rest pads"
- "NOK" (Image 1 and Image 3)
- "OK" (Image 2)
- "Previous" (inside the images with arrows pointing to specific areas)
- "INTERNAL", Date, Image Reference, Author, Company Logo (SKODA)
- **Text Significance**:
- The text provides titles and labels essential to understanding the context of the images, indicating that these images are used for explaining or comparing different clamping surfaces in a mechanical process. "NOK" signifies non-acceptable clamping points, and "OK" signifies acceptable ones.
#### 5. Diagram and Chart Analysis:
- No diagrams or charts are present in the images above.
#### 6. Product Analysis:
- Main Features: Mechanical parts with highlighted clamping surfaces, indicating previous clamping points.
- Materials: Likely metallic, typical of automotive or machinery parts.
#### 7. Anomaly Detection:
- No apparent anomalies are detected in the images as they all show expected close-ups of mechanical parts with highlighted clamping surfaces.
#### 8. Color Analysis:
- Dominant Colors:
- Green: Used to highlight clamping surfaces.
- Grey: Background and mechanical components.
- Red: Arrows pointing to specific areas.
- Impact on Perception: The color scheme effectively directs focus on the clamping points due to the high contrast between the green highlights and the grey mechanical parts.
#### 9. Perspective and Composition:
- Perspective: Close-up views of mechanical parts with a direct angle focusing on clamping points.
- Composition: The clamping surfaces are placed centrally within the frame, highlighted with arrows and text to guide the viewer's focus.
#### 10. Contextual Significance:
- The images likely form part of a technical document or a presentation addressing clamping methods in a mechanical process, possibly in an automotive setting, as suggested by the SKODA logo.
### Additional Aspects
#### Ablaufprozesse (Process Flows):
- Depiction of clamping process evaluations and highlighting issues.
#### Prozessbeschreibungen (Process Descriptions):
- Describes the evaluation of previous clamping points used in the mechanical process and categorizes them into acceptable and non-acceptable clamping methods.
#### Typen Bezeichnung (Type Designations):
- Categories: "NOK" - non-acceptable areas, "OK" - acceptable area.
#### Trend and Interpretation:
- The images emphasize a need for reviewing and possibly updating clamping methods to ensure they meet acceptable standards.
### Conclusion
The images analyzed provide critical information on the clamping points used in mechanical assemblies. Their clear labeling and color-coding assist in quickly identifying acceptable and non-acceptable methods within a technical context related to the automotive industry.
####################
File: MGH%20Anlage%2014.pdf
Page: 8
Context: # Clamping MGH
## New clamping points for OP10
### Clamping surfaces and projections of rest pads
| Image | Status |
|-------------|--------|
|  | OK |
|  | OK |
|  | OK |
**Note:** Replace `path_to_image1`, `path_to_image2`, and `path_to_image3` with the actual image paths.
Image Analysis:
### Image Analysis
**1. Localization and Attribution:**
- **Image Numbering:**
- Image 1: First image on the left
- Image 2: Middle image
- Image 3: First image on the right
**2. Object Detection and Classification:**
- **Image 1:**
- Objects: Car part components, highlighting the clamping points.
- Key Features: The clamping points on the car part are highlighted in green with red arrows indicating specific locations.
- **Image 2:**
- Objects: Similar car part components with additional clamping points.
- Key Features: Similar depiction with clamping points highlighted in green and focused areas indicated by red arrows.
- **Image 3:**
- Objects: Car part components, emphasizing another set of clamping points.
- Key Features: The same pattern of highlighting in green and red arrows showing precise points.
**3. Scene and Activity Analysis:**
- **Overall Scene:** All three images focus on different sections of a car component system, highlighting new clamping points relevant for OP10 (Operation 10).
- **Activities:**
- Highlighting and verifying new clamping points and rest pad surfaces.
- Ensuring the identified points are appropriate for the given operation stage as indicated by “OK.”
**4. Text Analysis:**
- **Detected Text:**
- "Clamping MGH"
- "New clamping points for OP10"
- "Clamping surfaces and projections of rest pads"
- "OK" (under each image)
- Additional footer text implying internal use and a specific date and author.
- **Text Significance:**
- The primary text informs about new clamping points designed for a specific operational code (OP10).
- The consistent "OK" under each image suggests verification and approval of the highlighted clamping points.
**9. Perspective and Composition:**
- **Perspective:**
- All images are close-up views, providing detailed insights into particular parts of the car components.
- Angled views focusing on non-linear components suggesting a 3-dimensional analysis standard.
- **Composition:**
- The images are arranged side by side to allow comparison.
- Each image has internal highlighting that guides the viewer's attention towards the critical points relevant to the operational process.
**10. Contextual Significance:**
- The images and text collectively detail a technical update or modification for a car manufacturing/engineering process.
- They serve the purpose of demonstrating and verifying new clamping points effectiveness in practical scenarios (Operation 10).
**13. Graph Numbers and Additional Aspects:**
- **Process Descriptions:**
- This is a technical document presenting process improvements, specifically adding new clamping points for operational efficiency.
- **Type Designations:**
- OP10 refers to a specific task or operation in the assembly or manufacturing process.
### Summary
In the analyzed visuals, we focused on the technical aspects of incorporating new clamping points in car components for a designated operation (OP10). The consistent use of highlighting and arrow indicators draws attention towards key functional points. The overall structure, including perspectives and text descriptions, enhance the understanding and verification of these modifications for internal operational assurance.
####################
File: MGH%20Anlage%2014.pdf
Page: 9
Context: # Clamping MGH
## Clamping point 4 in OP20
**Figure: Projection of rest pad**
- **Important Notes:**
- Ensure the clamping point is aligned properly.
- Check the projections before proceeding to the next step.
### References
- S3 | 05.08.2024 | Clamping MGH | PPK-E | Georgy Komarov
**Internal Document**
Image Analysis:
### Analysis of the Provided Visual Content
#### 1. Localization and Attribution
- **Image 1**: Located on the left side of the page.
- **Image 2**: Located on the right side of the page.
#### 2. Object Detection and Classification
- **Image 1**:
- **Objects Detected**: A complex mechanical component, possibly a section of an automotive engine or transmission assembly.
- **Classification**: The object is categorized under engineered mechanical parts.
- **Key Features**: Visible parts include what appear to be rest pads and various geometric features indicative of a casting or machining process.
- **Image 2**:
- **Objects Detected**: Another mechanical component, possibly a 3D model of a related or undetermined part, shown with a wireframe overlay.
- **Classification**: Similar to Image 1, categorized under mechanical parts or CAD models.
- **Key Features**: Wireframe details and annotations indicating measurements or design parameters.
#### 3. Scene and Activity Analysis
- **Image 1**:
- **Scene Description**: A close-up view of a mechanical part with highlighted regions, specifically indicating the clamping point, rest pad projection, and likely inspection features.
- **Activities**: The image appears to be explaining the process of clamping or securing the part at a specified point during a manufacturing operation.
- **Image 2**:
- **Scene Description**: A zoomed-in view of a 3D CAD model with emphasis on specific features of the part, suggestive of a technical inspection or quality control process.
#### 4. Text Analysis
- **Image 1 Text**:
- "Clamping MGH",
- "Clamping point 4 in OP20"
- "Projection of rest pad"
- **Image 2 Text** (Overlay/Annotations):
- Various technical parameters or notes displayed as part of the CAD model, though not entirely legible at the provided resolution.
- **Significance**: The text explains that the images are related to clamping mechanisms in a manufacturing process (operation point 20). It highlights the importance of precision in positioning and securing the component for further operations.
#### 6. Product Analysis
- **Image 1**:
- **Product**: Mechanical assembly component.
- **Features**: Detailed design, highlighting specific areas such as clamping points and rest pads.
- **Materials**: Likely metal, based on typical automotive or heavy machinery parts.
- **Colors**: Predominantly gray with highlights in green and red annotations.
- **Image 2**:
- **Product**: 3D CAD model of a mechanical part.
- **Features**: Wireframe and surface details with precision markings.
- **Materials**: Virtual model; material inferred to be metal.
- **Colors**: Green wireframe overlay on a transparent or light gray background.
#### 8. Color Analysis
- **Image 1**:
- **Dominant Colors**: Gray, with green and red highlights.
- **Impact**: The use of color helps in distinguishing specific features (e.g., clamping point, rest pad) making it easier for viewers to focus on important details.
- **Image 2**:
- **Dominant Colors**: Green wireframe with a grayish background.
- **Impact**: The green wireframe offers a clear contrast against the background to emphasize technical details.
#### 9. Perspective and Composition
- **Image 1**:
- **Perspective**: Close-up perspective to focus on the intricate details of the clamping mechanism.
- **Composition**: Key features are centrally located with annotations clearly pointing to relevant areas.
- **Image 2**:
- **Perspective**: Zoomed-in view of a CAD model.
- **Composition**: The model is presented in such a way as to highlight the technical annotations and measurements, suggesting a focus on technical accuracy.
### Contextual Significance
The blended use of physical part illustrations and CAD models suggests a document focused on explaining engineering processes and the precision required in manufacturing, specifically in the context of automotive or heavy machinery industries. The detailed annotations and 3D representations are intended for an audience well-versed in technical and engineering concepts, aiding in process validation or inspection protocols.
The combination of detailed views, annotations, and 3D modeling underscores the importance of accuracy and quality control in manufacturing processes, reinforcing the document's technical nature aimed at engineering professionals.
####################
File: Standardanschreiben%281%29.pdf
Page: 1
Context: # Skoda AUTO a.s., Václava Klementa 869,
293 60 Mladá Boleslav
**Einkäufer:** Michala Senkyróva
**Abteilung:** Beschaffung Aggregatfertigung und Infrastruktur
**Telefon:**
**E-Mail:** Michala.Senkyrova@skoda-auto.cz
**Datum:** 26.06.2024
---
**Anfrage-Nr.: SK 2024 001598**
Sehr geehrte Damen und Herren,
wir bitten Sie um Ihr für uns unverbindliches und kostenloses Angebot unter Zugrundelegung unserer nachstehenden aufgeführten Geschäftsbedingungen und unter Verwendung der beigefügten Unterlagen für:
**Obráběcí linka motorové skříně MGH SSP/Machining line of the SSP E-drive motor box**
Wir bitten um Einreichung Ihres Angebots über die Konzernbusinessplattform.
Zuständig für technische Rückfragen ist
** **
**** Georgy.Komarov@skoda-auto.cz
Es gelten die nachfolgend aufgeführten Geschäftsbedingungen:
- Einkaufsbedingungen ŠKODA AUTO a.s. - Allgemeine Beschaffung (04/2024)
Die aktuelle Fassung der Geschäftsbedingungen finden Sie auf [http://www.vwgroupsupply.com](http://www.vwgroupsupply.com) unter folgendem Pfad: Zusammenarbeit / Geschäftsbedingungen
Nicht fristgerecht eingereichte Angebote bleiben unbe berücksichtigt.
Mit freundlichen Grüßen
i.V. Jiří Kulich
i.V. Michala Senkyróva
---
Dieses Schreiben wurde maschinell erstellt und ist ohne Unterschrift gültig.
**ŠKODA AUTO a.s.**
T: Václava Klementa 869, 293 60 Mladá Boleslav, Czech Republic
IČO: 00177041, Městský soud v Praze B 332
T +420228241111
---
26.06.2024 | SK BA/2 | KSU 6.1 - 15 Jahre | vertraulich
Image Analysis:
**Image Analysis Results:**
### Localization and Attribution:
- **Image 1**: The entire content is a single page document. No other images are present on the page.
### Text Analysis:
- **Detected Text**:
```
Škoda AUTO a.s., Václava Klementa 869, 293 60 Mladá Boleslav
**Einkäufer:** Michala Senkyrova
**Abteilung:** Beschaffung Aggregatenfertigung und Infrastruktur
**Telefon:**
**E-Mail:** Michala.Senkyrova@skoda-auto.cz
**Datum:** 26.06.2024
**Anfrage-Nr: SK2024 001598**
Sehr geehrte Damen und Herren,
wir bitten Sie um Ihr für uns unverbindliches und kostenloses Angebot unter Zugrundelegung unserer
nachstehenden aufgeführten Geschäftsbedingungen und unter Verwendung der beigefügten Unterlagen
für:
Obráběcí linka motorové skříně MGH SSP/Machining line of the SSP E-drive motor box
Wir bitten um Einreichung Ihres Angebots über die Konzernbusinessplattform.
Zuständig für technische Rückfragen ist Vorname
Georgy.Komarov@skoda-auto.cz
Es gelten die nachfolgend aufgeführten Geschäftsbedingungen:
- Einkaufsbedingungen ŠKODA AUTO a.s.- Allgemeine Beschaffung (04/2024)
Die aktuelle Fassung der Geschäftsbedingungen finden Sie auf http://www.vwgroupsupply.com unter
folgendem Pfad: Zusammenarbeit / Geschäftsbedingungen
Nicht fristgerecht eingereichte Angebote bleiben unberücksichtigt.
Mit freundlichen Grüßen
i.V. Jiří Kulich i.V. Michala Senkyrova
Dieses Schreiben wurde maschinell erstellt und ist ohne Unterschrift gültig.
**ŠKODA AUTO a.s.**
TE: Václava Klementa 869, 293 60 Mladá Boleslav, Czech Republic
IČO: 00177041, Městský soud v Praze B 332
T +4203268-1111
26.06.2024 | SK BA/2 | KSU 6.1 - 15 Jahre | vertraulich
```
### Text Content Analysis:
- **Context and Significance**:
- The document appears to be an official request for quotation (RFQ) from Škoda AUTO a.s., a prominent automobile manufacturer.
- It is addressed by Michala Senkyrova and dated 26.06.2024, aiming to gather a non-binding and free quotation.
- The document requests an offer for "Obráběcí linka motorové skříně MGH SSP/Machining line of the SSP E-drive motor box."
- It also outlines the designated point of contact for technical queries and directs submissions to the company's business platform.
- Emphasis is given to the adherence to specific terms and conditions, with references to relevant documentation that can be found online.
- It is noted that offers not submitted within the specified timeframe will not be considered.
- The formality is underscored by the automated nature of the document, which does not require a signature to be valid.
### Object Detection and Classification:
- **Logos and Symbols**:
- The company’s logo (Škoda) is depicted along with associated contact information.
- The header includes the official address and other contact details of Škoda AUTO a.s.
### Color Analysis:
- **Color Composition**:
- Dominant colors include black and white text on a white background.
- The Škoda logo comprises green and black colors.
- **Impact on Perception**:
- The color scheme provides a professional and corporate appearance, enhancing readability and focusing attention on the textual content.
### Perspective and Composition:
- **Perspective**:
- The document presents straight-on, as typical of a scanned or digital document.
- **Composition**:
- Structured with clear sections including header, body, and footer, making it easy to follow and locate specific information within the text.
### Contextual Significance:
- **Document's Contribution**:
- This image serves as an official communication tool within the procurement processes of Škoda AUTO a.s., ensuring standardized requests for supplier quotations and clarity in business dealings.
### Anomaly Detection:
- **Unusual Elements**:
- There are no notable anomalies in the document; it follows a standard layout expected for corporate communications of this nature.
By adhering to structured text and clear headings, the document effectively communicates its purpose and requirements to its intended recipients.
####################
File: Standardanschreiben%281%29.pdf
Page: 2
Context: # Škoda AUTO a.s.
VÁCLAVA KLEMENTA 869,
293 60 Mladá Boleslav
---
**Purchaser:** Michala Senkyrova
**Department:** Beschaffung Aggregatenfertigung und Infrastruktur
**Telephone:**
**E-Mail:** Michala.Senkyrova@skoda-auto.cz
**Date:** Jun 26, 2024
---
**Inquiry no.:** SK 2024 001598
Dear Sir or Madam,
Please submit a non-binding, free-of-charge offer based on our terms and conditions (as listed below) and using the attached documents for:
**Obráběcí linka motorové skříně MGH SSP / Machining line of the SSP E-drive motor box**
Please submit your bid via the Group business platform.
For technical queries, please contact:
**First Name Last Name**
Georgy.Komarov@skoda-auto.cz
The terms and conditions below apply:
- General Purchase Terms and Conditions of ŠKODA AUTO a.s. (04/2024)
The current version of the terms and conditions can be found at [VW Group Supply](http://www.vwgroupsupply.com) at:
Cooperation information / Purchasing Conditions
Quotations submitted after the deadline will not be considered.
Yours sincerely,
p.p. Jiří Kulich
p.p. Michala Senkyrova
---
This letter was generated automatically and is valid without a signature.
---
ŠKODA AUTO a.s.
T.E.: Václava Klementa 869, 293 60 Mladá Boleslav, Czech Republic
IČO: 00220173, Městský soud v Praze B 332
T * +420202281111
Jun 26, 2024 | SK BA/2 | KSU 6.1 - 15 years | confidential
Image Analysis:
### 1. **Localization and Attribution:**
There is only one page with a single image of a letter. We will refer to this as **Image 1**.
### 4. **Text Analysis:**
The text on the document contains details related to a formal inquiry or request for a bid submission.
**Extracted Text:**
- **Company Information:**
- Skoda AUTO a.s.
- Address: Václava Klementa 869, 293 60 Mladá Boleslav
- **Inquiry Information:**
- Inquiry no.: SK 2024 001598
- Date: Jun 26, 2024
- **Context of the Inquiry:**
- The letter requests a non-binding, free-of-charge offer based on specified terms and conditions.
- The specific item for the bid is "Machining line of the SSP E-drive motor box".
- **Contact Information:**
- Purchaser: Michala Senkyrova
- Department: Beschaffung Aggregatefertigung und Infrastruktur
- E-Mail: Michala.Senkyrova@skoda-auto.cz
- For technical queries: Georgy.Komarov@skoda-auto.cz
- **Additional Information:**
- Mention of the necessity to submit bids via the Group business platform.
- Quotes submitted after the deadline will not be considered.
- **Signature Block:**
- p.p. Jiří Kulich
- p.p. Michala Senkyrova
**Significance:**
The text is significant in the context of procurement and offers a formal request for proposal. It details the requirements and the method of submission for a specific project within the automotive company Skoda AUTO a.s.
### 6. **Product Analysis:**
The focus is on the "Machining line of the SSP E-drive motor box." This implies a sophisticated production setup likely requiring advanced machinery designed for precision manufacturing within the automotive sector.
### 8. **Color Analysis:**
The color scheme is predominantly white with black text, which is standard for formal business documents. There is also a green logo of Skoda at the top right, which adds brand identity and recognition to the document.
### 9. **Perspective and Composition:**
The document is presented in a straightforward, top-down view commonly used for scanning or digital documentation. The composition follows conventional business format with a letterhead providing company details, followed by the body of the message and ending with signatures and disclaimers.
### 10. **Contextual Significance:**
This image serves as an official communication for procurement purposes within Skoda AUTO a.s. It addresses professional relationships with suppliers and clearly sets out the requirements and terms for submission of business proposals.
### 12. **Graph and Trend Analysis:**
No graphs or trends are presented in this document.
### 13. **Ablaufprozesse (Process Flows):**
There are no direct process flows described in the image.
### 14. **Prozessbeschreibungen (Process Descriptions):**
The document does not provide detailed descriptions of processes within the image.
### 16. **Trend and Interpretation:**
No visual trends are depicted. The text primarily serves as a static formal request for a bid.
### 17. **Tables:**
No tables are present in the image.
This analysis captures the essential components and purpose of the document, helping understand its function within the procurement process of Skoda AUTO a.s.
####################
File: Standardanschreiben%281%29.pdf
Page: 3
Context: # Skoda AUTO a.s.
Václava Klementa 869,
293 60 Mladá Boleslav
## Nákup:
**Zástupce:** Michala Senkyrova
**Oddělení:** Beschaffung Aggregatenteiligung und Infrastruktur
**Telefon:**
**E-Mail:** Michala.Senkyrova@skoda-auto.cz
**Datum:** 26.6.2024
Č. poptávky: SK 2024 001598
Vážení,
žádáme Vás o nezávaznou a bezplatnou nabídku na základě našich níže uvedených nákupních podmínek zpracovanou podle poskytnutých podkladů pro:
**Obráběcí linka motorové skříně MGH SSP / Machining line of the SSP E-drive motor box**
Žádáme Vás o podání Vaší nabídky přes koncernovou obchodní platformu.
Za technické dotazy odpovídá **Georgy Komarov**
E-Mail: Georgy.Komarov@skoda-auto.cz
Platí dále uvedené nákupní podmínky:
- Všeobecné nákupní podmínky ŠKODA AUTO a.s. (04/2024)
- Aktuální znění nákupních podmínek naleznete na [www.vwgroupsupply.com](http://www.vwgroupsupply.com) v následující složce:
- Informace o spolupráci / Nákupní podmínky
Nabídky, které nebudou podány včas, nebudou akceptovány.
S pozdravem,
v.z. Jiří Kulich
v.z. Michala Senkyrova
Tento dopis byl vyhotoven automaticky a platí bez podpisu.
---
**SKODA AUTO a.s.**
Těšnov 2, 293 60 Mladá Boleslav, Czech Republic
Tel: +420.601.774.205, Městský soud v Praze B 332
Tax ID: +42020228-1111
Image Analysis:
### Analysis of Attached Visual Content
#### Localization and Attribution:
- The visual content is represented by a single document, hence all references pertain to this document.
- **Number of Images:**
- Only one image is provided in the document.
#### Object Detection and Classification:
- **Image 1:**
- The document contains various elements including text, logos, and formatting elements like lines and text blocks.
#### Scene and Activity Analysis:
- **Image 1:**
- This appears to be an official letter from Skoda AUTO a.s. addressing a supplier or potential partner regarding a request for a quote.
- The letter mentions procurement requirements for a machining line for SSP E-drive motor box.
#### Text Analysis:
- **Image 1:**
- Text Content:
- The letter is written in Czech and includes formal procurement language.
- Key sections include:
- Sender and recipient details.
- Purpose of the letter: Request for a quote (RFQ).
- Specific details about the needed machining line.
- Submission guidelines and contact details.
- Reference to procurement conditions.
- Significance:
- This text is crucial for communicating exact procurement requirements and expectations to potential suppliers, ensuring clarity and proper response.
#### Product Analysis:
- **Image 1:**
- The document does not depict any specific products directly but references a machining line for the SSP E-drive motor box, which indicates the nature of the product or service required.
#### Anomaly Detection:
- **Image 1:**
- There do not appear to be any noticeable anomalies in the document. It follows a typical structure for such correspondence.
#### Color Analysis:
- **Image 1:**
- The document primarily uses a white background with black text.
- The Skoda logo adds green and gray colors.
#### Perspective and Composition:
- **Image 1:**
- The document is presented from a straightforward, flat perspective, typical of scanned or digitally created documents.
- The elements such as the logo, address, and text blocks are aligned for clear readability and professional appearance.
#### Contextual Significance:
- **Image 1:**
- This document serves an important role in the procurement process for Skoda AUTO a.s., establishing official communication with potential suppliers.
#### Metadata Analysis:
- **Image 1:**
- No metadata is available to analyze in the provided visual content.
#### Conclusion:
The analysis of the provided document indicates that it is an official procurement communication from Skoda AUTO a.s., seeking a quote for a machining line related to the SSP E-drive motor box. The document includes detailed procurement conditions and contact information, ensuring potential suppliers are fully informed about submission requirements and expectations.
####################
File: Interni%20smernice%20-%20komponenty%20SZ_DE.pdf
Page: 1
Context: # Škoda Auto a.s.
## Richtlinie für die Vereinheitlichung von Elementen
### Projekt Erneuerung der Produktionsanlagen im Bereich PKG
**Ausgabedatum:** 28.01.2020
**PSZ/1 - Methodik und Standardisierung**
**1 - H - 20 DE**
Diese Richtlinie hebt die Gültigkeit von früher erlassenen Richtlinien, Normen, Lastenheft und ITS ŠkodaAuto nicht auf. Bei Komponenten, bei denen mehrere Lieferanten genehmigt sind, wird bei der Vergabe von Lieferungen projektbezogener Anlagen immer nur ein Lieferant vertraglich festgelegt. Potentielle Lieferanten sind Lieferanten, die entweder die Projektfreigabe bereits bekommen haben, oder bei denen davon ausgegangen werden, dass sie nach Erprobung und Erfüllung der Konzernstandards die Projektfreigabe noch bekommen können.
### Bearbeitet von:
- Martin Janata
**PSZ/12**
tel.: +420 732 294 691
- Milan vypraclicky
**PKG/4**
tel.: +420 732 294 226
### Genehmigt von:
- Aleš Ivanovič
**PSZ/1**
tel.: +420 730 869 870
- Ing. Ladislav Treml
**PKG/4**
tel.: +420 732 294 945
- Ing. Roman Tanček
**PPK/2**
tel.: +420 604 292 729
### Übersicht von Änderungen:
| Datum | Seite | Anmerkung |
|--------------|-------|-----------------|
| 28.01.2020 | 1 | Erste Ausgabe |
**Seite 1 von 4**
Image Analysis:
### Analysis of Visual Content
#### 1. Localization and Attribution:
- **Image Specification:**
- The entire content is considered as one image (Image 1).
#### 2. Object Detection and Classification:
- **Objects Detected:**
- **Primary Object:**
- Document with text, tables, and signatures.
- **Identification Features:**
- Company logo at the top right corner.
- Several names and contact information listed.
- Signatures and stamps at the bottom.
#### 4. Text Analysis:
- **Text Extracted:**
- **Header:**
- "SIMPLY CLEVER"
- "Škoda Auto a.s."
- "Richtlinie für die Vereinheitlichung von Elementen Projekt Erneuerung der Produktionsanlagen im Bereich PKG"
- "Ausgabedatum: 28.01.2020"
- **Middle Section:**
- "PSZ/1 - Methodik und Standardisierung 1 - H - 20 DE"
- Body text regarding the guidelines for the unification of various elements and supplier contracts.
- **Signatures and Stamps:**
- Names with roles (e.g., Martin Janata, Milan Vprachticky, etc.)
- Contact details with phone numbers.
- **Table Section:**
- Columns for "Datum," "Seite," and "Anmerkung."
- Date entry: "28.01.2020" with the note "Erste Ausgabe" indicating the first issue.
#### 5. Diagram and Chart Analysis:
- **Table Content:**
- **Column Descriptions:**
- "Datum" (Date)
- "Seite" (Page)
- "Anmerkung" (Remark)
- **Row Entries:**
- Date: "28.01.2020"
- Page: "1"
- Remark: "Erste Ausgabe" (First Issue)
#### 7. Anomaly Detection:
- **Unusual Elements:**
- None detected. The document appears to be a standard guideline with usual elements such as text, signatures, stamps, and a table for changes.
#### 8. Color Analysis:
- **Color Composition:**
- Dominant colors: Black text on a white background.
- Additional colors include green (highlighted elements) and logos.
#### 9. Perspective and Composition:
- **Perspective:**
- The image is taken from a top-down view, ensuring the entire page and its contents are clearly visible.
- **Composition:**
- Structured in a formal document layout with a header, body, and footer sections.
#### 10. Contextual Significance:
- **Document Analysis:**
- The document appears to be an official company guideline or directive for standardizing the processes or elements related to the renewal of production facilities under Škoda Auto a.s. It defines the roles, responsibilities, and contact details of key personnel involved, along with stamps and signatures for authenticity.
### Conclusion:
- The image analyzed is a structured official document issued by Škoda Auto, outlining standardization guidelines, key personnel, and their contact information for a project regarding the renewal of production equipment. The presence of signatures and stamps underscores the document's legitimacy, while the table at the bottom indicates it is the first issue of the guideline. The dominant use of black and white colors, with elements in green, contributes to the formal appearance of the document.
####################
File: Interni%20smernice%20-%20komponenty%20SZ_DE.pdf
Page: 2
Context: # Škoda Auto a.s.
Richtlinie für die Vereinheitlichung von Elementen
Projekt Erneuerung der Produktionsanlagen im Bereich PKG
Ausgabedatum: 28.01.2020
## PSZ/1 - Methodik und Standardisierung
1 - H - 20 DE
## I. Teil: Standards für Produktionsanlagen und Komponenten
Die unentstehenden Standards für den Bereich der Aggregaterfertigung im VW-Konzern sind verbindlich:
1. Lastenheft Mechanik (im Weiteren KLH Mechanik)
2. Lastenheft Elektrik (im Weiteren KLH Elektrik)
3. ITS Škoda Auto, viz.: [CZ version](#) | [DE version](#)
| Nr. | Produktionsanlagen/Komponenten | Freigegebene Lieferanten | Potentielle Lieferanten | Anmerkungen |
|-----|--------------------------------|--------------------------|------------------------|-------------|
| 1. | Elektrik, Steuerungstechnik | s. Teile Elektro, S. 3-4 | ITS: 1.1, 5.13 |
| 0.1 | Dokumentation Elektrik und Steuerungstechnik | Eplan P8 ver. 2.2 oder höher | | ITS: 1.10 |
| 2. | Mechanik | Festo, SMC | Norgren | ITS: 1.13 |
| 3. | Pneumatik | | | ITS: 1.17 |
| 4. | Schmieren | SKF Lubrikation | | ITS: 1.12 |
| 5. | Hydraulik | Bosch Rexroth, Parker | | ITS: 1.12 |
| 6. | Filtertechnik | Hydac, Mahle, Bosch Rexroth | | Viz KLH Mechanik |
| 0.6 | Pumpen | KSB, Knoll, Grundfos | | |
| 7. | Schraubtechnik | Bosch Rexroth | | Bosch Rexroth system BS350 |
## II. Teil: Elektrik, Steuerungssysteme
Seite 2 von 4
Image Analysis:
### Localization and Attribution
- Image 1: Single image present on the page.
### Text Analysis
- The detected text is primarily in German and includes headers, sections, subsections, and a table with specified standards.
- **Primary Heading:**
- "Škoda Auto a.s."
- Other information: "Richtlinie für die Vereinheitlichung von Elementen Projekt Erneuerung der Produktionsanlagen im Bereich PKG".
- Issue Date: "Ausgabedatum: 28.01.2020".
- **Section I:**
- "I.Teil: Standards für Produktionsanlagen und Komponenten"
- **Sections Detail:**
- "Die untenstehenden Standards für den Bereich der Aggregatenfertigung im VW-Konzern sind verbindlich:"
- Specific Standards:
1. "Lastenheft Mechanik (im Weiteren KLH Mechanik)"
2. "Lastenheft Elektrik (im Weiteren KLH Elektrik)"
3. "ITS ŠkodaAuto, viz.:"
- Links to versions: "CZ version, DE version"
- **Sections in Table and Notes:**
- "PSZ/1 - Methodik und Standardisierung", "1 - H - 20 DE"
### Table and Content
- **Header of the Table:**
- Columns:
- "Nr." (Number)
- "Produktionsanlagen/Komponenten" (Production Equipment/Components)
- "Freigegebene Lieferanten" (Approved Suppliers)
- "Potentielle Lieferanten" (Potential Suppliers)
- "Anmerkungen" (Comments)
- **Detailed Table Content:**
- **Row 1:**
- Nr: 1
- Produktionsanlagen/Komponenten: "Elektrik, Steuerungstechnik"
- Freigegebene Lieferanten: "s. Teile Elektro, S. 3-4"
- Anmerkungen: "ITS: 1.11, 5.13"
- **Row 2:**
- Nr: 0.1
- Produktionsanlagen/Komponenten: "Dokumentation Elektrik und Steuerungstech"
- Freigegebene Lieferanten: "Eplan P8 ver. 2.2 oder höher"
- Anmerkungen: "ITS:1.10"
- **Row 3:**
- Nr: 2
- Produktionsanlagen/Komponenten: "Mechanik"
- Freigegebene Lieferanten: "ITS: 1.10"
- **Row 4:**
- Nr: 3
- Produktionsanlagen/Komponenten: "Pneumatik"
- Freigegebene Lieferanten: "Festo, SMC"
- Potentielle Lieferanten: "Norgren"
- Anmerkungen: "ITS 1.13"
- **Row 5:**
- Nr: 4
- Produktionsanlagen/Komponenten: "Schmieren"
- Freigegebene Lieferanten: "SKF Lubrikation"
- Anmerkungen: "ITS 1.17"
- **Row 6:**
- Nr: 5
- Produktionsanlagen/Komponenten: "Hydraulik"
- Freigegebene Lieferanten: "Bosch Rexroth, Parker"
- Anmerkungen: "ITS 1.12"
- **Row 7:**
- Nr: 6
- Produktionsanlagen/Komponenten: "Filtertechnik"
- Freigegebene Lieferanten: "Hydac, Mahle, Bosch Rexroth"
- Anmerkungen: "ITS 1.12"
- **Row 8:**
- Nr: 06.1
- Produktionsanlagen/Komponenten: "Pumpen"
- Freigegebene Lieferanten: "KSB, Knoll, Grundfos"
- Anmerkungen: "Viz KLH Mechanik"
- **Row 9:**
- Nr: 7
- Produktionsanlagen/Komponenten: "Schraubtechnik"
- Freigegebene Lieferanten: "Bosch Rexroth"
- Potentielle Lieferanten: "Bosch Rexroth system BS350"
### Diagram and Chart Analysis
- The primary diagram is a table, detailing production components, along with approved and potential suppliers.
- The table is not a typical chart but provides structured data that indicates standards for different production components and their suppliers.
### Contextual Significance
- This image is likely part of a standardization document for Škoda Auto a.s., aimed at unifying elements for production line renewal.
- The document specifies standards and approved suppliers for various components of production systems, ensuring uniformity and consistency within the VW Group.
### Color Analysis
- The overall color scheme is professional and minimalistic, primarily using black text with green highlights for certain sections and names.
- There is a logo in green and grey, which is indicative of the brand's identity and adds a professional touch.
### Perspective and Composition
- The perspective is straightforward, presenting information in a clear, readable format from a direct, straight-on viewpoint.
- The composition is well-organized, with a logical flow from headers to tables, ensuring ease of reading and understanding.
### Trend and Interpretation
- The data suggests a focus on approved suppliers with specific standards and a smaller list of potential suppliers. This implies a stringent quality control and approval process pivotal for maintaining production standards.
- Key insights can be drawn regarding which suppliers have dominance in certain components (e.g., Bosch Rexroth appears multiple times).
### Additional Aspects
- **Ablaufprozesse (Process Flows):** While process flows are not explicitly depicted, the structured table can be viewed as a part of a larger workflow ensuring compliance with standards.
- **Prozessbeschreibungen (Process Descriptions):** Descriptions involve compliance with predefined guidelines, suggesting a regulated production and approval system for components.
####################
File: Interni%20smernice%20-%20komponenty%20SZ_DE.pdf
Page: 3
Context: # Škoda Auto a.s.
Richtlinie für die Vereinheitlichung von Elementen
Projekt Erneuerung der Produktionsanlagen im Bereich PKG
Ausgabedatum: 28.01.2020
## PSZ/1 - Methodik und Standardisierung
1 - H - 20 DE
| Nr. | Produktionsanlagen/Komponenten | Lieferantenfreigabe | Potentielle Lieferanten | Anmerkungen |
|-----|-----------------------------------------|----------------------|---------------------------------|-----------------------------------------|
| 1 | Steuerungssysteme SPS(PLC) | Siemens | Siemens Simatic S7 Baureihe | 1500 - TIA V14 und höher |
| 2 | NC - Steuerung | Siemens | Siemens (Sinumerik 840D sl.) | |
| 3 | PC- und Panel-PC-basierte Steuerungssysteme, Übergeordnete Steuerung – Kommunikationsmodul | Siemens | System - Simatic S7 (HW SPS) | Profinet |
| 4 | Visualisierung | Siemens WinCC Flexible | WinCC Flexible 2008 | |
| 5 | Steuerungspanels | Siemens | | |
| 6 | Dezentrale Sammlung | Profinet | Profibus, IO-link | |
| 6.1 | Passiver Stecker-Injektoren (Sensoren, Ventile) | Balluff | Murrelektronik | IO-link |
| 6.2 | Aktiver Stecker-Injektoren (Sensoren, Ventile) | Balluff | | Siemens (ET 200 PRO) |
| 7 | Dezentrale Peripherie | Siemens | ABB | Kuka (Külsin VRC 4) |
| 8 | Roboter | ABB | | |
| 9 | Elektrische Frequenzantriebe – Umrichter | SEW Eurodrive | Siemens | VW Konzern Freigabe |
| 10 | Elektrische Servo-Antriebe | Siemens, Bosch Rexroth | Siemens | Spezifikation Škoda Auto a.s. |
| 11 | Steuerungselemente – Tasten, Kontrolle | Schneider Electric | Siemens | Spezifikation Škoda Auto a.s. |
| 12 | Zweihändige Bedienung | Schneider Electric | Schmersal-Ein | Spezifikation Škoda Auto a.s. |
| 13 | Elektroschränke (Verteiler) | Rittal | | VW Konzern Freigabe |
| 14 | Klemmkästen | Rittal | | VW Konzern Freigabe |
| 15 | Kühlung Verteilerschränke (Klimaanlage) | Sick | | Spezifikation Škoda Auto a.s. |
| 16 | Lichtschutzanlagen / Scanner | ASO - Contra, Pilz, Schneider Electric | IOSS | Cognex, Keyence, Balluff | Spezifikation Škoda Auto a.s. |
| 17 | DMC- und Strichcode-LEsegerät | Balluff, Turck-Banner | Siemens | Spezifikation Škoda Auto a.s. |
| 18 | Schalt- und Sicherungselemente | Siemens, Murrelektronik | Schneider Electric | Spezifikation Škoda Auto a.s. |
| 19 | Optisches Sensoren | Sick, IFM Electronic, Balluff | | |
Image Analysis:
### Analysis of Visual Content
#### 1. Localization and Attribution:
- **Image Localization and Attribution:**
- The document contains a single image comprising a structured table of components and suppliers.
- This image will be referred to as **Image 1**.
#### 4. Text Analysis:
- **Text Extraction:**
- The text includes a header, table headers, and cells within the table.
- **Header:**
- Škoda Auto a.s.
- Richtlinie für die Vereinheitlichung von Elementen Projeklt Erneuerung der Produktionsanlagen im Bereich PKG
- PSZ/1 - Methodik und Standardisierung
- Ausgabe datum: 28.01.2020
- **Table Columns:**
- Nr.
- Produktionsanlagen/Komponenten
- Lieferantenfreigabe
- Potenzielle Lieferanten
- Anmerkungen
- **Table Data:**
- **Row 1:**
1. Steuerungssysteme SPS(PLC)
2. Siemens
3. Siemens Simatic S7 Baureihe 1500 - TIA V14 und höher
- **Row 2:**
1. NC - Steuerung
2. Siemens
3. Siemens (Sinumerik 840D sl.)
- And so on through 20 rows as listed in the image.
#### 9. Perspective and Composition:
- **Perspective:**
- The image is a top-down view of a single page document.
- **Composition:**
- The page is structured into a table format which is centrally aligned.
- The text is clearly organized with sections separated by lines.
#### 10. Contextual Significance:
- **Contextual Significance:**
- This image appears to be part of a technical document that outlines specifications and supplier information for various components used in production processes.
- The table lists specific equipment and systems (such as Steuerungssysteme SPS (PLC), NC-Steuerung) along with their approved suppliers (primarily Siemens) and potential alternative suppliers.
- The amendments or notes column provides further specifications or requirements for each component.
#### 13. Graph Numbers:
- **Detailed Breakdown:**
- A total of 20 rows detail various components including control systems, injection systems, robots, cabinets, and safety components.
- Each row assigns an item number, a description of the component, the approved supplier, potential suppliers, and any noteworthy comments.
### Conclusion:
This structured and detailed table in the image organizes key information about production components and their respective suppliers. It underscores supplier dependability and the specific requirements for various parts of a production system. The table represents a methodical approach to maintain standards and consistency in the production workflow while accommodating precise technical requirements. Checklists like this can ensure streamlined operations and uphold quality control in production environments.
####################
File: Interni%20smernice%20-%20komponenty%20SZ_DE.pdf
Page: 4
Context: # Škoda Auto a.s.
Richtlinie für die Vereinheitlichung von Elementen
Projekt Erneuerung der Produktionsanlagen im Bereich PKG
Ausgabedatum: 28.01.2020
## PSZ/1 - Methodik und Standardisierung
1 - H - 20 DE
| Nr. | Produktionsanlagen/Komponenten | Lieferantenfreigabe | Potentielle Lieferanten | Anmerkungen |
|-----|-----------------------------------------------|--------------------------------|----------------------------------------|------------------------------------|
| 21 | Induktionssensoren, Positionsschalter und | Balluff, IFM Electronic | Sick | Spezifikation Škoda Auto a.s. |
| | Endschnaller | | | |
| 22 | Klemme und Klemmzubehör | Phoenix Contact, Wago | Siemens | Spezifikation Škoda Auto a.s. |
| 23 | Durchflussmesser und Thermometer | IFM Electronic, Hydac | Parker, Bosch Rexroth | Spezifikation Škoda Auto a.s. |
| 24 | Sensoren- und Endschalteinrichtung | Balluff - Lumberg | Pepperl+Fuchs | Spezifikation Škoda Auto a.s. |
| | Kabel, Stecker und Sensorenzubehör | Mur elektorn | | |
| 25 | Stecker – schwer und leicht | Harting, Phoenix Contact, Weidmüller | Murrelektronik | |
| 26 | Lichtsignalisierung – Blaulicht und | Murrelektronik | Siemens | |
| | Signalleuchten | | | |
| 27 | Nockensicherheitschalter | Schmersal | Balluff | |
| 28 | Sicherheitsschalter an Schutzüren, Fenster usw. | Pilz, Schmersal | Euchner | Spezifikation Škoda Auto a.s. |
| 29 | Sicherheitsystem und Sicherheitsmodule | Pilz, Siemens | Schneider Electric | Pilz (PNOZsigma), Siemens (S7 3xxF) |
| 30 | Mechanisches Endschnaller | Balluff, Siemens | Euchner | Spezifikation Škoda Auto a.s. |
| 31 | Installationskabel | LAPP Kabel | Hellukabel | |
| 32 | Hochflexible Kabelzueleme | LAPP Kabel | Hellukabel | |
| 33 | Überspannungsschutzelemente | Hakel | ABB | |
| 34 | Kabelkanäle und -rinnen | OBO-Bettermann, Niedax | Kopos Kolin | |
| 35 | Energiespeichende Kabelbieten | Murrelektronik | Brevetti | |
| 36 | Optische Sensoren | IFM, Keyence | Sick | Spezifikation Škoda Auto a.s. |
| 37 | Kamerabasierte Messsysteme | Cognex, Keyence, Sick | | |
| 38 | Wegmesssysteme, linear, Winkel | HEIDENHAIN | | |
| 39 | Reservespeisungsquellen | Siemens, APC, Murrelektronik | Phoenix Contact | |
| 40 | Drucksensoren | Rexroth, Parker, IFM | Hydac | |
Seite 4 von 4
Image Analysis:
### Detailed Examination of the Visual Content:
#### 1. Localization and Attribution:
- **Image Identification**: Pages contain a single image.
- **Image Number**: Image 1
#### 4. Text Analysis:
- **Title**: "Richtlinie für die Vereinheitlichung von Elementen Projekt Erneuerung der Produktionsanlagen im Bereich PKG"
- **Subtitle**: "1 - H - 20 DE"
- **Date**: "Ausgabedatum: 28.01.2020"
- **Company Name**: "Škoda Auto a.s."
- **Table Content**:
- **Column Headers**: Nr., Produktionsanlagen/Komponenten, Lieferantfreigabe, Potentielle Lieferanten, Anmerkungen
- **Row Entries**:
1. 21: Induktionssensoren, Positionsschalter und Endschalter | Balluff, IFM Electronic | Sick | Spezifikation Škoda Auto a.s.
2. 22: Klemme und Klemmenzubehör | Phoenix Contact, Wago | Siemens | Spezifikation Škoda Auto a.s.
3. 23: Durchflussmesser und Thermometer | IFM Electronic,Hyac | Parker, Bosch Rexroth | Spezifikation Škoda Auto a.s.
4. 24: Sensoren- und Endschalterinstallation Kabel, Stecker und Sensorenzubehör | Balluff - Lumberg Nur elektronik | Pepperl + Fuchs | Spezifikation Škoda Auto a.s.
5. 25: Stecker – schwer und leicht | Harting, Phoenix Contact, Weidmüller | Murrelektronik |
6. 26: Lichtsignalisierung – Baulichter und Signalleuchten | Murrelektronik | Siemens |
7. 27: Nockenschalterschutz | Schmersal | Balluff |
8. 28: Sicherheitsschalter an Schutztüren, Fenstern usw. | Pilz, Schmersal | Euchner | Spezifikation Škoda Auto a.s.
9. 29: Sicherheitssystem und Sicherheitsmodule | Pilz, Siemens | Schneider Electric | Pilz (PNOZsigma), Siemens (S7 3xxF)
10. 30: Mechanische Endschalter | Balluff, Siemens | Euchner | Spezifikation Škoda Auto a.s.
11. 31: Installationskabel | LAPP Kabel | Helukabel |
12. 32: Hochflexible Kabel | LAPP Kabel | Helukabel |
13. 33: Überspannungsschutzelemente | Hakel | ABB |
14. 34: Kabelkanäle und -rinnen | OBO-Bettermann, Niedax | Kopos Kolin |
15. 35: Energiebewiegende Kabelketten | Murrplastik, Brevetti | Kabelschlepp |
16. 36: Optische Sensoren | IFM, Keyence | Sick | Spezifikation Škoda Auto a.s.
17. 37: Kameraerfassungssysteme | Cognex, Keyence, Sick | |
18. 38: Wegemesssysteme, linear, Winkel- | HEIDENHAIN | |
19. 39: Reservenovellungsquellen | Siemens, APC, Murrelektronik | Phoenix Contact |
20. 40: Drucksensoren | Rexroth, Parker, IFM | Hydac |
#### 5. Diagram and Chart Analysis:
- **Table Analysis**:
- The table lists various production components (under "Produktionsanlagen/Komponenten"), the approved suppliers (under "Lieferantfreigabe"), potential suppliers (under "Potentielle Lieferanten"), and additional remarks or specifications.
- Each row provides detailed information about different components and their associated suppliers.
####################
File: Interni%20smernice%20-%20komponenty%20SZ_DE.pdf
Page: 4
Context: #### 11. Graph Numbers:
- **Row Numbers and Entries**:
- 21: "Induktionssensoren, Positionsschalter und Endschalter | Balluff, IFM Electronic | Sick | Spezifikation Škoda Auto a.s."
- 22: "Klemme und Klemmenzubehör | Phoenix Contact, Wago | Siemens | Spezifikation Škoda Auto a.s."
- 23: "Durchflussmesser und Thermometer | IFM Electronic,Hyac | Parker, Bosch Rexroth | Spezifikation Škoda Auto a.s."
- 24: "Sensoren- und Endschalterinstallation Kabel, Stecker und Sensorenzubehör | Balluff - Lumberg Nur elektronik | Pepperl + Fuchs | Spezifikation Škoda Auto a.s."
- 25: "Stecker – schwer und leicht | Harting, Phoenix Contact, Weidmüller | Murrelektronik"
- 26: "Lichtsignalisierung – Baulichter und Signalleuchten | Murrelektronik | Siemens"
- 27: "Nockenschalterschutz | Schmersal | Balluff"
- 28: "Sicherheitsschalter an Schutztüren, Fenstern usw. | Pilz, Schmersal | Euchner | Spezifikation Škoda Auto a.s."
- 29: "Sicherheitssystem und Sicherheitsmodule | Pilz, Siemens | Schneider Electric | Pilz (PNOZsigma), Siemens (S7 3xxF)"
- 30: "Mechanische Endschalter | Balluff, Siemens | Euchner | Spezifikation Škoda Auto a.s."
- 31: "Installationskabel | LAPP Kabel | Helukabel"
- 32: "Hochflexible Kabel | LAPP Kabel | Helukabel"
- 33: "Überspannungsschutzelemente | Hakel | ABB"
- 34: "Kabelkanäle und -rinnen | OBO-Bettermann, Niedax | Kopos Kolin"
- 35: "Energiebewiegende Kabelketten | Murrplastik, Brevetti | Kabelschlepp"
- 36: "Optische Sensoren | IFM, Keyence | Sick | Spezifikation Škoda Auto a.s."
- 37: "Kameraerfassungssysteme | Cognex, Keyence, Sick"
- 38: "Wegemesssysteme, linear, Winkel- | HEIDENHAIN"
- 39: "Reservenovellungsquellen | Siemens, APC, Murrelektronik | Phoenix Contact"
- 40: "Drucksensoren | Rexroth, Parker, IFM | Hydac"
These insights provide a detailed understanding of the Škoda Auto a.s. component and supplier specifications.
####################
File: VW%2010130_CS.pdf
Page: 1
Context: # VOLKSWAGEN AG
## Prověrka způsobilosti stroje pro měřitelné charakteristiky
**VW 101 30**
**Datum:** únor 2005
### Klíčová slova:
Maschinenfähigkeitsunter-suchung [**prověrka způsobilosti**],
Fähigkeitskennwert [**parameter způsobilosti**],
Qualitätsfähigkeit [**kvalitativní způsobilost**],
Maschinenfähigkeit [**způsobilost stroje**]
---
### Obsah
1. [Účel a oblast použití](#1-úcel-a-oblast-použití)......................................................... 2
2. [Principy prověrky způsobilosti stroje](#2-principy-proverky-zpusobilosti-stroje)........... 3
3. [Teoretické základy](#3-teoretické-základy)........................................................... 4
3.1 [Distribuční modely](#31-distribuční-modely)......................................................... 4
3.1.1 [Normální rozdělení](#311-normální-rozdělení).................................................. 5
3.2 [Neúplná rozdělení](#32-neuplna-rozdělení)........................................................ 6
3.3 [Ravleighovo rozdělení](#33-ravleighovo-rozdělení).......................................... 6
3.4 [Zjištění způsobilosti](#34-zjištění-způsobilosti).................................................. 7
3.2.1 [Zjištění způsobilosti u definovaných distribučních modelů](#322-zjištění-způsobilosti-u-definovaných-distribučních-modelů)......................................... 16
3.2.2 [Zjištění způsobilosti u nedodržovaných distribučních modelů](#3222-zjištění-způsobilosti-u-nedodržovaných-distribučních-modelů)................................... 16
3.3 [Měřené hodnoty pro způsobilost stroje](#33-měřené-hodnoty-pro-způsobilost-stroje)....................................................... 21
4. [Statistické testy](#4-statistické-testy)................................................................ 21
4.1 [Provádění prověrky způsobilosti stroje](#41-provádění-prověrky-způsobilosti-stroje)........ 21
4.1.1 [Použití zkušebních prostředků](#411-použití-zkušebních-prostředků)................... 22
4.1.2 [Odběr namátkových vzorků](#412-odběr-namátkových-vzorků)............................ 22
4.2 [Zvláštní pravidla pro omezené MFU](#42-zvláštní-pravidla-pro-omezené-mfu)............... 23
4.3 [Vyhodnocení dat](#43-vyhodnocení-dat).......................................................... 25
4.4 [Výběr očekávaného distribučního modelu](#44-výběr-očekávaného-distribučního-modelu)..... 26
4.4.1 [Test odlehlých hodnot](#441-test-odlehlých-hodnot)...................................... 26
4.4.2 [Test změny polohy výroby](#442-test-změny-polohy-výroby)................................. 27
4.4.3 [Test odkazu na stanovené distribuční modely](#443-test-odkazu-na-stanovené-distribuční-modely)............................................................ 27
4.4.4 [Vyhodnocení podle normálního rozdělení](#444-vyhodnocení-podle-normálního-rozdělení)............................................ 28
4.5 [Vyhodnocení podle stanovené hodnoty](#445-vyhodnocení-podle-stanovené-hodnoty).... 28
4.6 [Nepřímé vyhodnocení](#446-nepřímé-vyhodnocení)............................................... 29
4.7 [Posouzení výsledků](#447-posouzení-výsledků).................................................. 29
5. [Optimalizace stroje](#5-optimalizace-stroje)....................................................... 29
5.1 [Náklady na nezpůsobilý stroj](#51-náklady-na-nezpůsobilý-stroj)........................ 30
6. [Příklady](#6-příklady)....................................................................................... 30
7. [Související podklady](#7-související-podklady)......................................................... 33
8. [Odkazy na literaturu](#8-odkazy-na-literaturu)....................................................... 33
9. [Seznam hesel](#9-seznam-hesel)................................................................ 34
---
### Informace:
Úřad TR1 - Normalizace
Tel.: +420-123-456-789
#### Fachverantwortung/Obor odpovědnost
KIS-05-12
Název Tel.: 792968
Alternativní Tel.: +420-543-961-123
---
**Poznámka:**
Veškerá práva vyhrazena. Webové stránky obsahují ochranné známky a názvy výrobků společnosti Volkswagen Konzern.
Image Analysis:
### Localization and Attribution
**Image 1**:
- This is the only image on the page.
### Text Analysis
**Image 1:**
- The image is in the Czech language.
- **Title**: "Proverka zpusobilosti stroje pro meritlené charakteristiky" (translated: "Machine capability test for measurable characteristics").
- **Subheading**: "VOLKSWAGEN AG, VW 101 30"
- **Keywords**: "Machinenfähigkeituntersuchung" (machine capability investigation), "Fähigkeitskennwert" (capability index), "Qualitätsfähigkeit" (quality capability).
- **Table of Contents**:
- 1 Purpose and Application Area
- 2 Principles of Machine Capability Testing
- 3 Theoretical Background
- 3.1 Distribution Models
- 3.2 Determining Capability Based on Defined Distribution Models
- 3.3 Statistical Tests
- 4 Conducting Machine Capability Tests
- 4.1 Use of Testing Resources
- 4.2 Sample Collection
- 4.3 Special Rules for Measurements
- 4.4 Data Evaluation
- 5 Related Backgrounds
- 6 References
- 7 Glossary
This outlines the technical report structure on machine capability testing within Volkswagen AG.
### Metadata Analysis
**Image 1**:
- **Klass-Nr.**: 11 00 5.
- **Date**: February 2005.
- **Laid Down by**: VW.
- **Pertains to Norm**: Koncernnorm.
- **Length**: 35 pages.
- **Source**: "Quelle: NOLIS (Norm vor Anwendung auf Aktualität prüfen), Check standard for current issue prior to usage."
### Graph and Trend Analysis
**Image 1**:
- No graphs or trends are visible in the image.
### Process Flows (Ablaufprozesse)
**Image 1**:
- **Included process descriptions**:
- Determining capability based on various distribution models.
- Statistical tests involved in machine capability evaluation.
- Specific procedures for data evaluation and processing.
- Documentation and reporting of the capability tests.
####################
File: VW%2010130_CS.pdf
Page: 1
Context: ### Prozessbeschreibungen (Process Descriptions)
**Image 1**:
- The table of contents implies detailed descriptions of the steps taken to evaluate machine capabilities. This includes collecting samples, using testing resources, statistical assessments, and special rules for data collection and evaluation.
### Contextual Significance
**Image 1**:
- This document appears to be part of a technical standard or guideline manual from Volkswagen AG, outlining the procedures for evaluating machine capabilities. This could form part of internal quality assurance and process optimization efforts. The significance is likely centered around maintaining high standards of production efficiency and product quality within the company.
### Tables
**Image 1**:
- No tables are visible in the image.
### Perspective and Composition
**Image 1**:
- Perspective: The image is a direct, upright scan or photograph of a document.
- Composition: It focuses on centering the document for clear visibility of the text and structure, designed for easy reading and reference.
### Anomaly Detection
**Image 1**:
- There do not appear to be any anomalies or unusual elements in this image.
### Color Analysis
**Image 1**:
- The color scheme is black text on a white background, typical for documents to ensure readability and emphasis on information.
### Summary
The analyzed image is a cover page of a technical report from Volkswagen AG detailing the processes and guidelines for conducting machine capability tests on measurable characteristics. The document is technical in nature, meant for internal use, and emphasizes thorough procedural instructions.
####################
File: VW%2010130_CS.pdf
Page: 2
Context: # Úvod
Posouzení způsobilosti stroje z hlediska sledovaných měřitelnych výrobních charakteristik je důležitým předpokladem pro splnění stanovených kvalitativních požadavků. Pro mnoho praktických případů pro způsobilost však neexistují normy nebo jednotné konečné směrnice, takže se studený případ mohl vyplynout celou řadu různých hodnocení způsobilosti. Tato norma byla tedy zpracována, aby bylo možno provádět prověrky způsobilosti podle jednotných pravidel pro všechny praktické případy a tím byla zajištěna srovnatelnost výsledků.
Norma obsahuje v uzavřené formě kompletní teoretické podklady, které jsou nutné pro použití a interpretaci. Pouze statistické testy, které již byly podrobně popsány v normách nebo odborné literatuře, jsou uvedeny pouze pomocí odkazu.
Cílem prověrky způsobilosti stroje podle této normy počítačový program, ve kterém jsou realizovány popsané algoritmy. Pokud je takový program k dispozici, může se vycházet z této normy i v podstatě na ustanovení oddílu 4 a v případě potřeby si může nalistovat teoretické poznatky. Nejduležitější podmínky jsou naproti tomu:
1. 4 - Odrážení namátkových vzorků
2. 4.5 - Dokumentace
3. 4.6 - Posouzení výsledků
V oddílu 5 jsou navíc uvedeny příklady, které mají sloužit jako pomůcka pro posouzení výsledků.
# 1 Účel a oblast použití
Cílem prověrky způsobilosti stroje je dokumentované posouzení, zda prověřovaný stroj umožňuje bezpečnou výrobu sledovaných charakteristik v rámci definovaných mezních hodnot. V ideálním případě by přitom měly na výrobní proces působit pouze úvahy podmíněným strojem.
Jak a za jakých předpokladů je nutno provádět prověrky způsobilosti stroje, je předmětem této normy. Je použitelné na libovolné průběžné (měřitelné) výrobní charakteristiky.
1. Níže pro tento druh charakteristik uveden název „měřitelné charakteristiky“ místo názvu „průběžné charakteristiky“ uvedeného v DIN, proto je tento výraz ze VW zajištěn.
Image Analysis:
Here is the detailed analysis of the provided image:
### Localization and Attribution:
- **Image 1** is located at the top of the page, occupying the entire space of the page.
### Text Analysis:
- The image is a document page written in Czech, consisting primarily of text.
- **Heading:**
- The first section headings are "Úvod" (Introduction) and "Účel a oblast použití" (Purpose and Scope of Use).
- **Content:**
- **Introduction:**
- Describes that the inspection of the machine's capability in terms of monitored measurable production characteristics is a necessary prerequisite for meeting set qualitative requirements.
- Indicates that previous verifications were not standardized and lacked a unified guideline.
- Explains that the included standard was developed to provide a common framework to ensure the verifications' validity.
- **Procedure Sections:**
- It lists various sections/references within the document for further procedures:
- **4.2**: "Odběr namátkových vzorků" (Random Sampling)
- **4.5**: "Dokumentace" (Documentation)
- **4.6**: "Posouzení výsledků" (Evaluation of Results)
- Additionally, examples are provided in section V to aid in the evaluation.
- **Purpose and Scope of Use:**
- States the aim of the verification is to document whether the tested machine allows for the safe production of monitored characteristics within defined limits.
- Specifies that ideally, the production process should only be influenced by the machine.
- Discusses the prerequisites necessary for conducting the verification of the machine's capability according to this standard.
- Indicates that the standard is applicable to any measurable production characteristic in continuous production.
### Contextual Significance:
- The document appears to be a technical or procedural manual related to manufacturing or production quality assessment, specifically for the Volkswagen (VW) corporation.
- The detailed instructions and standard references suggest it is used by professionals to ensure consistency and reliability in machine evaluations within the production environment.
####################
File: VW%2010130_CS.pdf
Page: 3
Context: # 2 Princip prověrky způsobilosti stroje
Na základě náhodných vlivů vyplývajících z výroby různých druhů stejných druhů pomocí prověřovaného stroje zásadně rozdílné hodnoty sledovaných charakteristik. Tyto hodnoty charakteristiky \(S\) jsou v závislosti na kvalitě výroby rozptylené okolo polohy podmíněné systematickými vlivy. Proto se prověřuje, jak dobře souhlasí rozdělení hodnot charakteristiky s tolerančním intervalem definovaným konstruktorem (obrázek 1). Výhodnocení tohoto je vyjádřeno parametry způsobilosti \(C_p\) a \(C_{pk}\) (kdž solo kapacity), přičemž hodnota \(C_{pk}\) zohledňuje polohu výroby rozptylu a hodnota \(C_p\) také polohu výroby. Tyto charakteristiky musí být minimálně tak velké jako definované mezní hodnoty, aby byl splněn požadavek na způsobilost výrob.
Pro zjištění charakteristiky způsobilosti z hlediska sledované charakteristiky je nutno zhodnotit možné identifikační podmínky kategorií vlivu materiál, člověk, metoda a prostředí, abychom mohli zjistit pozici vůči stroji. Z tohoto vzorku se v souladu s očekáváním vhodně pohybuje v hranice intervaluu spolehlivosti \(X_{13,5}\), \(X_{99,865}\), což zahrnuje soubor hodnot charakteristik (teoreticky nekonečný počet) a porovná se s intervalem stanovený tak, že podle hodnot do jednotlivých oblastí rozptylu na obě strany vždy \(p_e = 0,135\). Na základě kontroly, zda hodnoty charakteristiky odpovídají očekávané zakonitosti.
## Tolerance
\[
\text{Hodnota charakteristiky} = p_{e} \quad G_L \quad G_U
\]
2. Pojem hodnoty charakteristiky nesmí být zaměňován s měrnou hodnotou, protože posléze uvedený pojem obsahuje v porovnání s giveny určitou nejasnost.
3. Pro označení mzněných hodnot ji přípustné taktéž USG, OSG nebo USL, OSL nebo Tu, To.
Image Analysis:
### Localization and Attribution:
1. **Image Numbering**:
- **Image 1**: This is located at the middle and integrates textual data with a schematic representation.
### Object Detection and Classification:
2. **Objects Detected**:
- **Image 1**:
- Object Type: Diagram/Graph
- Key Features: Contains a bell curve with values on the X and Y axes, and labels denoting specific points on the curve.
### Scene and Activity Analysis:
3. **Scene Description**:
- **Image 1**: Shows a bell curve graph that depicts the distribution of a characteristic in relation to defect rates, with accompanying descriptive text explaining the significance of the distribution.
### Text Analysis:
4. **Extracted Text**:
- Document Title: "Princip prověrky způsobilosti stroje"
- Section Title: "2"
- Detailed Description: The text explains a principle of machine capability verification. It involves statistical parameters, methodical characteristics, and the depiction of a characteristic’s tolerance and distribution.
- Key Phrases: "Náhodných vlivů", "výrobek", "díl", "stejného druhu", "hodnoy shvěro", "II".
### Diagram and Chart Analysis:
5. **Diagram Description**:
- **Axes**:
- X-axis: Hodnota charakteristiky (Characteristic value)
- Y-axis: Četnost (Frequency)
- **Legend**:
- p = 0.135%: This represents the probability or confidence interval marks on both sides of the bell curve.
- G_l and G_u: Represent the lower and upper tolerance limits respectively, in a process distribution context.
- μ (mu): The mean value of the distribution.
- X_0.135% and X_99.865%: Points on the curve indicating edges of the tolerance limits for a specified confidence level.
### Textual Explanation in Image Context:
- This diagram illustrates how the distribution of a characteristic falls within a defined tolerance interval, highlighting the areas of very low probability (0.135%) which lie outside the tolerance limits. This is significant for quality control and indicating machine or process capability.
### Trend and Interpretation:
12. **Trends Identified**:
- The bell curve indicates a normal distribution where the majority of values cluster around the mean μ and decrease symmetrically towards the tails. This suggests a process that is statistically controlled with most values falling within the specified tolerance limits.
### Tables:
14. **Analyzed Content**:
- There is no specific table in the provided visual content.
### Metadata Analysis:
15. **Available Metadata** (from visible content):
- Document Identifier: "VW 101 30: 2005-02"
- Page Number: "Strana 3"
- These references are to the document’s standard and page number.
### Graph and Trend Analysis:
13. **Detailed Analysis**:
- Central Value (μ): Represents the average or target value for the characteristic being measured.
- Limits (G_l and G_u): Define the acceptable tolerance range for the process.
- Probability Cutoffs (p = 0.135%): Define the thresholds at which values are considered outliers in the tolerance interval.
### Abschlussprozesse (Process Flows):
This relates to the explanation provided in the text about the verification of machine capability by checking the spread and alignment of production values with the specified tolerance limits.
### Contextual Significance:
10. **Document contribution**:
- The image supports the textual explanation of machine capability verification by visually representing how production values are distributed within the specified tolerances, thereby aiding in understanding and adhering to the statistical principles of quality control.
This comprehensive analysis integrates various aspects of the provided visual content, highlighting key features, textual context, and diagrammatic interpretation to provide detailed insights into the information conveyed in the image.
####################
File: VW%2010130_CS.pdf
Page: 4
Context: # 3 Teoretické podklady
## 3.1 Distribuční modely
Rozdělení hodnot charakteristik lze pro většinu druhů výrobních charakteristik popsat distribučním modelem. Tak lze většinou dvourozměrné tolerované výrobní charakteristiky, např. délkové rozměry, průměr a kručící moment, založit na normálním rozdělení.
Rozptyl jednostranného nahoru tolerované výrobní charakteristiky lze oproti tomu zpravidla popsat pomocí Weibullova nebo Rayleighova rozdělení. Tak lze např. Weibullovo rozdělení použít pro druhy charakteristik rovnovážnosti, asymetrie a Rayleighovo rozdělení pro druhy charakteristik poloha, soustředěnost.
### 3.1.1 Normální rozdělení
#### Funkce hustoty pravděpodobnosti
Funkce hustoty pravděpodobnosti (zkráceně funkce hustoty) normálního rozdělení, která je graficky znázorněna v obrázku 2, zní:
$$
f(x) = \frac{1}{\sigma\sqrt{2\pi}} e^{-\frac{(x - \mu)^2}{2\sigma^2}} \tag{1.1}
$$
kde \(s\) parametry průměrná hodnota \(\mu\) a směrodatná odchylka \(\sigma\), které charakterizují polohu a šířku rozdělení, přičemž mocnina standardní odchylky \(\sigma^2\) je označována jako rozptyl.
**Zdroje:**
1. Informace jsou převzaty z dokumentu VW 101 30: 2005-02.
Image Analysis:
### Analysis of the Visual Content:
#### Localization and Attribution:
- **Image**: There is a single image on the page, which will be referred to as **Image 1**.
- **Position**: The image is located at the bottom section of the page.
#### Object Detection and Classification:
- **Image 1**: This image contains a graph depicting a normal distribution curve. The following objects are identified and classified:
- **Graph**: A bell-shaped curve indicating a normal distribution (Gaussian distribution).
- **Labels and Text**: The x-axis, y-axis, and specific points along the curve are labeled.
- **Markers**: Specific points such as the mean (μ) and standard deviations (σ) are indicated.
#### Scene and Activity Analysis:
- **Image 1**: The scene is an illustration of the normal distribution function in a mathematical or statistical context. The main activity is the depiction of the distribution probability density function.
#### Text Analysis:
- **Text Detected**:
- "Strana 4"
- "VW 101 30: 2005-02"
- "3 Teoretické podklady"
- "3.1 Distribuční modely"
- "3.1.1 Normální rozdělení"
- "Funkce hustoty pravděpodobnosti (zkráceně funkce hustoty) normálního rozdělení..."
- Formula for normal distribution \( f_v(x) = \frac{1}{\sigma \sqrt{2\pi}} e^{-\frac{ (x-\mu)^2}{2\sigma^2}} \)
- Several key parameters and points specified such as "μ-4σ", "μ-3σ", "μ-2σ", "μ-σ", "μ", "μ+σ", "μ+2σ", "μ+3σ", "μ+4σ".
- "Obrázek 2 – Funkce hustoty pravděpodobnosti normálního rozděleni"
- **Contextual Explanation**:
- The text explains the normal distribution density function. Formula (1.1) provides the mathematical definition, while the graph visually represents this function indicating key statistical markers like the mean (μ) and different standard deviations (σ) from the mean.
#### Diagram and Chart Analysis:
- **Image 1**:
- **Axes and Scales**:
- **X-axis (Horizontal)**: Represents the characteristic value (Hodnota charakteristiky).
- **Y-axis (Vertical)**: Represents the probability density (Hustota pravděpodobnosti).
- **Legend and Markers**:
- Indicates different points such as "μ", "μ-σ", "μ+σ", etc., representing mean and standard deviations.
- **Key Insights**:
- Shows typical bell-curve shape of normal distribution.
- Indicates inflection points and how the probability density changes around the mean.
- Significance of values at "μ", "μ±σ", "μ±2σ", etc. percentages at each specified point (e.g., 0.135% at "μ ±4σ").
#### Graph Numbers:
- **Data Points** (Approximations due to the nature of labeling):
- **At μ**: Maximum probability density.
- **At μ±σ**: Probabilities decrease significantly.
- **External Points**: 0.135% likelihood at "μ±4σ".
#### Color Analysis:
- **Image 1**:
- **Color Composition**: Primarily black and white.
- **Dominant Colors**: Black (for text and lines) on white background.
- **Impact on Perception**: Ensures clear visibility and emphasis on graph and text for analytical purposes.
#### Perspective and Composition:
- **Perspective**: Frontal, straight-on view.
- **Composition**: Centralized graph with explanatory text surrounding it, making it effective in demonstrating the concept clearly.
#### Contextual Significance:
- **Image 1**: Contributes significantly to the text's explanation by visually depicting the mathematical concept of normal distribution, aiding in understanding and retention.
### Summary:
The document discusses theoretical underpinnings of statistical distribution models, specifically focusing on the normal distribution. The included graph is critical for illustrating key concepts and providing a visual reference for the probability density function of the normal distribution. The text serves to elucidate the mechanics and importance of these statistical markers and their practical applications.
####################
File: VW%2010130_CS.pdf
Page: 5
Context: # Jako pravděpodobnost lze interpretovat
Jako pravděpodobnost lze interpretovat v obrázku 2 podíl plochy pod grafem ve sledovaném intervalu. Pravděpodobnost, že se hodnota charakteristiky x bude nacházet v základním souboru, který je maximálně tak velký, jako sledovaná mezní hodnota \(x_p\), je tak uváděna primitivní funkcí – funkcí rozdělení. Ta zní pro normální rozdělení:
\[
F_x(x) = \int_{-\infty}^{x} f_x(u) \, du \tag{1.2}
\]
Příčina:
\[
f_x(x) = \frac{dF_x(x)}{dx} \tag{1.3}
\]
a pro všechny hodnoty \(x\) platí \(f_x(x) \geq 0\).
## Transformace
\[
u = \frac{x - \mu}{\sigma} \tag{1.4}
\]
Vyplněte (2.1) hustota pravděpodobnosti standardizovaného normálního rozdělení:
\[
\phi(u) = \frac{1}{\sqrt{2\pi}} e^{-\frac{u^2}{2}} \tag{1.5}
\]
a distribuční funkce:
\[
\Phi(u) = \int_{-\infty}^{u} \phi(t) \, dt \tag{1.6}
\]
se standardní odchylkou \(\sigma = 1\).
### 3.1.2 Weibullovo rozdělení
Weibullovo rozdělení vzniká přeložením funkce hustoty normálního rozdělení na nulovém bodě, přičemž hodnoty funkce větší od bodu přeložení se přitukují v bodu správno od nich. Distribuční funkce a funkce rozdělení pravděpodobnosti Weibulova rozdělení tak zní:
\[
f(x) = \frac{1}{\sigma} \left(\frac{x - H_m}{\sigma}\right)^{\beta - 1} e^{-\left(\frac{x - H_m}{\sigma}\right)^\beta} \quad \text{pro } x \geq 0 \tag{1.7}
\]
\[
F(x) = 1 - e^{-\left(\frac{x - H_m}{\sigma}\right)^\beta} \tag{1.8}
\]
**Příčina:**
- \(H_m\): Střední hodnota původního normálního rozdělení, která označuje systematický posun nulového bodu
- \(\sigma\): Standardní odchylka původního normálního rozdělení
- \(\Phi\): Distribuční funkce standardizovaného normálního rozdělení
Image Analysis:
### Text Analysis
1. **Localization and Attribution:**
- **Image Number:** Image 1 - This is the only image on the page.
2. **Text Analysis:**
- **Detected Text:**
- The text is written in Czech.
- The headline at the top right indicates the document section, "Strana 5" (Page 5) with a code "VW 101 30: 2005-02".
- The main part of the text explains probabilistic concepts and distributions.
- **Mathematical Formulas and Equations:**
- Several mathematical formulas and equations are present, labeled from (1.2) to (1.8).
- (1.2) Integral equation for cumulative distribution function \( F_{W}(x) \).
- (1.3) Property of the integral of the probability density function over its entire range.
- (1.4)Transforming variable \( u = \frac{x - \mu}{\sigma} \).
- (1.5) Normal distribution density function \( \varphi(u) \).
- (1.6) Distribution function \( \Phi_{0}(u_{α}) \).
- (1.7) and (1.8) Relate to Weibull distribution.
- **Section Title:**
- Another title reads "Weibullovo rozdělení", which translates to "Weibull distribution".
- **Subsection and Reference Equations:**
- The document contains references to specific subsections (e.g., 3.1.2), indicating structured content about probability distributions.
- **Key Significance:**
- This context is likely educational or instructional, focusing on probability and statistical distributions, specifically the normal and Weibull distributions.
### Scene and Activity Analysis
1. **Scene Description:**
- The scene is a structured document page with textual and mathematical content.
- There are no visual elements apart from text and mathematical formulas.
### Diagram and Chart Analysis
1. **Net Content:**
- No diagrams or charts are included within this image. The focus is entirely on explanatory text and formulas.
### Process Descriptions (Prozessbeschreibungen)
1. **Process Descriptions:**
- The document explains the process of calculating probabilities using the normal and Weibull distributions.
- **Normal Distribution Process:**
- Describes how to derive the density function and cumulative function.
- **Weibull Distribution Process:**
- Details the generation of the Weibull distribution from the normal distribution, highlighting shifts in the distribution's mean and deviation.
### Metadata Analysis
1. **Metadata Review:**
- No metadata is explicitly visible within the image, and therefore not analyzed.
### Trend and Interpretation
1. **Trends and Interpretations:**
- Trend in focus on probability distributions highlighting the methods for density and cumulative function formulations for normal and Weibull distributions.
- Educative emphasis on the properties and transformations necessary for statistical analyses.
### Tables
1. **Table Analysis:**
- No tables are present in the image.
In conclusion, the image is a page from an educational or scientific document discussing the normal and Weibull distributions in the context of probability theory. The detailed mathematical formulas are used to explain the calculation and transformation processes for these distributions. The primary focus is on theoretical understanding rather than practical application.
####################
File: VW%2010130_CS.pdf
Page: 6
Context: # Strana 6
VW 101 30: 2005-02
Obrázek 3 ukazuje funkce rozdělení pravděpodobnosti, která vyplyne ze složení hustoty normálního rozdělení při různých posunech nulového bodu.
**Střední hodnota a rozptyl Weibullova rozdělení zná:**
\[
\mu = \mu_H + \left( \frac{H_N}{\sigma_N} \right) - \frac{2 - \sigma_N}{\sqrt{2\pi}}
\] (1.9)
\[
\sigma^2 = H_N - \mu^2
\] (1.10)
Pro případ nulového bodu \(\mu_N = 0\) vyplyne z (1.9) a (1.10):
\[
\mu = -\frac{2 - \sigma_N}{\sqrt{2\pi}}
\] (1.11)
\[
\sigma^2 = \left( 1 - \frac{2}{\sigma_N} \right)
\] (1.12)
Jak ukazuje obrázek 3, blíží se Weibullovo rozdělení s rostoucím posunem nulového bodu normálnímu rozdělení. Tak lze pro případ:
\[
\frac{\mu}{\sigma} \approx 0
\] (1.13)
Weibullovo rozdělení dobře aproximálně nahrazuje normálním rozdělením.
Image Analysis:
### Comprehensive Examination of the Visual Content
#### 1. Localization and Attribution
- **Image Position**: The analyzed visualization, which contains a graph and related mathematical formulas, is centrally located on the page.
- **Image Number**: Image 1.
#### 2. Object Detection and Classification
- **Graph**: Present, labeled "Obrázek 3 - Funkce hustoty Weibullova rozdělení s různými posuny nulového bodu."
- **Mathematical Formulas**: Displayed below the graph with sequential numbering.
#### 3. Scene and Activity Analysis
- **Actors**: No human actors present.
- **Activities**: The page primarily involves the examination and explanation of statistical distributions.
#### 4. Text Analysis
- **Detected Text**: The text is in Czech. Key text includes:
- Title: "Obrázek 3 - Funkce hustoty Weibullova rozdělení s různými posuny nulového bodu."
- Additional Descriptions: Explanations of mathematical formulas and their notation.
- **Content Analysis**: The text is critical for understanding how the Weibull distribution function changes with different zero point shifts.
#### 5. Diagram and Chart Analysis
- **Graph Analysis**:
- **Axes**:
- **X-Axis**: "Hodnota charakteristiky" (translated: Characteristic Value)
- **Y-Axis**: "Hustota pravděpodobnosti" (translated: Probability Density)
- **Trends**: Multiple curves represent Weibull distributions with different zero point shifts. As the shift increases (indicated as \( μ_N \)), the curves diverge and intersect at various points.
#### 7. Anomaly Detection
- **Possible Anomalies**: No apparent anomalies or unusual elements. The presentation appears standard and consistent with scientific formats.
#### 8. Color Analysis
- **Color Composition**: Predominantly black and white, with distinct black curves on a white background. This high contrast aids in clarity and comprehension.
#### 9. Perspective and Composition
- **Perspective**: The image is a frontal view, common for graphs.
- **Composition**: Top to bottom flow; the graph at the top is followed by descriptive mathematical explanations.
#### 10. Contextual Significance
- **Document Context**: The document seems to be a technical or academic piece addressing statistical distributions, likely for educational or research purposes.
- **Contribution to Overall Message**: The image and accompanying explanations demonstrate the behavior and calculation of Weibull distribution, especially under varied conditions. This contributes significantly to mathematical or statistical analysis.
#### 12. Graph and Trend Analysis
- **Analysis of Trends**:
- **Data Points**: While specific numeric data points aren't noted on the curves, the intersecting lines and the gradual changes in the curves denote how shifts in the zero point (\( μ_N \)) affect the Weibull distribution shapes.
- **Interpretation**: As indicated, the Weibull distribution can approximate normal distribution under certain shifts of the zero point.
### Conclusion
The provided image is a detailed graphical and mathematical analysis of the Weibull distribution, specifically examining how shifts in the zero point affect the distribution's density function. The clean presentation, logical flow, and detailed mathematical annotations provide a comprehensive understanding of the distribution's behavior, making it valuable for those studying statistical distributions.
####################
File: VW%2010130_CS.pdf
Page: 7
Context: # 3.1.3 Rayleighovo rozdělení
Rayleighovo rozdělení vyplývá z vektorových hodnot ortogonálních komponent x a y dvourozměrného normálního rozdělení, přičemž pro komponenty jsou předpokládány stejné standardní odchylky. Tento případ nastává u mnoha výrobních charakteristik ve formě radiálních odchylek r od sledovaného bodu nebo sledované osy.
## Funkce hustoty a funkce rozdělení Rayleighova rozdělení obecně zní
\[
f_{2}(r) = \frac{1}{2 \pi \sigma_{d}^{2}} e^{-\frac{r^{2}}{2\sigma_{d}^{2}}} \quad \text{pro } r \geq 0
\]
(1.14)
\[
F_{2}(r) = \int_{0}^{r} f_{2}(t) \, dt = 1 - e^{-\frac{r^{2}}{2\sigma_{d}^{2}}}
\]
(1.15)
přitom:
- \(\sigma_{d}\): Standardní odchylka ortogonální složky x a y, ze které vyplývá radiální odchylka r od referenčního bodu nebo od referenční osy
- \(z\): Excentricita: Vzdálenost mezi počátkem soustavy souřadnic a středem čtverce
Obrázek 4 ukazuje funkce rozdělení pravděpodobnosti Rayleighova rozdělení, které vyplývají z různých excentricit v jednotkách \(\sigma_{d}\).
Střední hodnota a rozptyl Rayleighova rozdělení zní.
Image Analysis:
### Image Analysis
#### 1. Localization and Attribution:
- **Image Position**: The page contains a single image located at the bottom part of the document.
- **Image Number**: Image 1.
#### 2. Object Detection and Classification:
- **Objects Identified**: The image includes a chart or graph.
- **Category**: Data visualization.
#### 3. Scene and Activity Analysis:
- **Scene Description**: The image is of a graph illustrating the probability density functions of Rayleigh distributions with various eccentricities.
#### 4. Text Analysis:
- **Text Detected**:
- "3.1.3 Rayleighovo rozdělení"
- "Rayleighovo rozdělení vyplyne z vektorových hodnot ortogonálních komponent x a y dvourozměrného normálního rozdělení, přičemž pro komponenty jsou předpokládány stejné standardní odchylky. Tento případ nastává u mnoha výrobních charakteristik ve formě radiálních odchylek r od sledovaného bodu nebo sledované osy."
- "Funkce hustoty a funkce rozdělení Rayleighova rozdělení obecně zní"
- Various mathematical formulas and constructs.
- "Obrázek 4 ukazuje funke rozdělení pravděpodobnosti Rayleighova rozdělení, které vyplynou z různých excentricit v jednotkách σN."
- **Text in Graph**:
- "Hustota pravděpodobnosti"
- "Hodnota charakteristiky"
- Markings on the graph: Z=0, Z=1σN, Z=2σN, Z=3σN
- "Obrázek 4 - Funkce hustoty Rayleighova rozdělení s různými excentricitami"
- "Střední hodnota a rozptyl Rayleighova rozdělení zní"
#### 5. Diagram and Chart Analysis:
- **Chart Analysis**:
- **Axes**:
- X-axis: "Hodnota charakteristiky" (Characteristic Value).
- Y-axis: "Hustota pravděpodobnosti" (Probability Density).
- **Features**:
- Multiple overlaid probability density curves are shown for different eccentricities, indicated by Z=0, Z=1σN, Z=2σN, and Z=3σN.
- The chart illustrates how the shape of the Rayleigh distribution varies with changes in eccentricity.
#### 8. Color Analysis:
- **Color Composition**: The image appears to be in grayscale, with different shades used to differentiate the various curves in the graph.
- **Dominant Colors**: Shades of black and gray.
#### 9. Perspective and Composition:
- **Perspective**: The image is a standard two-dimensional chart view, looking directly at the graph.
- **Composition**: The graph is centered at the bottom of the page with clear X and Y axes and labeled curves, making it easy to interpret.
#### 10. Contextual Significance:
- **Contribution**: This graph is critical for understanding the properties and effects of varying eccentricities on Rayleigh distribution. It supports the textual explanation provided above it and demonstrates the practical application of the theoretical concepts discussed in the document.
#### 13. Graph Numbers:
- **Data Point Description**: Not explicitly provided, but the curves demonstrate typical behavior expected in Rayleigh distributions: as eccentricity increases, the peak of the probability density decreases and shifts.
### Summary:
Image 1 presents a detailed graph depicting the Rayleigh distributions for different eccentricities, enhancing the understanding of related statistical concepts. The text above the graph explains the theoretical background and mathematical foundations, while the graph itself illustrates the practical impact of changing eccentricity values on Rayleigh distribution. The clear, grayscale image effectively communicates complex statistical information in an accessible visual format.
####################
File: VW%2010130_CS.pdf
Page: 8
Context: # Strana 8
VW 101 30: 2005-02
\[
\mu = \int_{\Gamma} \frac{\partial z}{\partial r} \, dr \tag{1.16}
\]
\[
\sigma^2 = 2 \alpha z^2 + \mu^2 \tag{1.17}
\]
Pro případ excentricity \( z = 0 \) vyplývá z (1.14) a (1.15) funkce hustoty a distribuční funkce Weibullova rozdělení s hodnotou parametru tvaru 2:
\[
f_{\beta} = \frac{2}{\sigma} \left( \frac{z}{\sigma} \right)^{\beta - 1} e^{-\left( \frac{z}{\sigma} \right)^{\beta}} \tag{1.18}
\]
\[
F_{\beta}(z) = 1 - e^{-\left( \frac{z}{\sigma} \right)^{\beta}} \tag{1.19}
\]
a z toho opět střední hodnot a rozptyl
\[
\mu = \sigma \left( \frac{\Gamma(1 + 1/\beta)}{\Gamma(1 + 2/\beta)} \right) \tag{1.20}
\]
\[
\sigma^2 = \sigma^2 \left( \frac{\Gamma(1 + 2/\beta)}{\Gamma(1 + 2/\beta)} - \left( \frac{\Gamma(1 + 1/\beta)}{\Gamma(1 + 2/\beta)} \right)^2 \right) \tag{1.21}
\]
Rayleighovo rozdělení dobrou aproximaci nahradit normálním rozdělením:
\[
\mu = \sigma \sqrt{\frac{\pi}{2}} \tag{1.22}
\]
## 3.2 Zjištění způsobilosti
Charakteristiky způsobilosti \( c_m \) a \( c_k \) udávají, jak dobře dodržují výrobní výsledky toleranční interval sledované charakteristiky. Pritom je hodnota \( c_n \) zohledněna pouze rozptyl výroby. Poloha výrobky je zohledněna hodnotou \( c_k \). Tím lze na jedné straně vyjádřit, jaká hodnota je při ideální poloze výrobky možná, a na druhé straně lze porovnávat obě hodnoty, jak silné se poloha výrobky vychyluje od požadované hodnoty. Čím větší jsou zjištěné charakteristiky způsobilosti, tím lepší je výroba.
Pro zjištění charakteristik způsobilosti existují různé vyhodnocovací vzorce, které je nutno zvolit podle jednotlivého případu. Protože však charakteristiky způsobilosti poskytuje pouze hodnocení hledaných hodnot základního rozdělení, představují pouze odhady hledaných hodnot.
Image Analysis:
### Comprehensive Analysis of the Visual Content
#### 1. Localization and Attribution:
- **Image 1**:
- Entire content depicted is a single page, considered as Image 1 for analysis.
#### 2. Object Detection and Classification:
- **Image 1**:
- Key objects:
- Mathematical symbols and equations
- Text paragraphs
- Footnotes or references
- Detected objects and their classification:
- Equations: \( \mu = \int_{-\infty}^{\infty} r\, f_{R} (r)\, dr \) (1.16)
- Text paragraphs in the Czech language.
#### 3. Scene and Activity Analysis:
- **Image 1**:
- The scene represents a technical or academic document, likely a standard or technical report.
- The activities involved are passive reading and comprehension activities.
#### 4. Text Analysis:
- **Image 1**:
- Detected text and significance:
- Title at the top: "Strana 8" (Page 8)
- Document identifier: "VW 101 30: 2005-02"
- Sections:
- Equations defining various mathematical functions and parameters, focusing on statistical distributions (Weibull distribution, Rayleigh distribution).
- Explanation of derivations (equations 1.16 to 1.22)
- Section 3.2 titled "Zjištění způsobnosti" (Determination of capacity/competence), discussing parameters for evaluating manufacturing tolerance intervals and their relevance in production.
#### 9. Perspective and Composition:
- **Image 1**:
- The perspective is a direct top-down view, typical for document viewing.
- Composition includes mathematical formulas on the top, followed by a descriptive text section.
#### 12. Graph and Trend Analysis:
- **Image 1**:
- While there aren’t explicit graphs, the trends in the equations suggest standard probabilistic functions and statistical distributions.
#### 13. Graph Numbers:
- **Image 1**:
- Equations numbered from (1.16) to (1.22) - each detailing a step in the derivation or formula.
**Additional Aspects:**
- **Ablaufprozesse (Process Flows):**
- Mention of characterization processes in section 3.2 involving \( c_m \) and \( c_{mk} \) parameters.
- **Prozessbeschreibungen (Process Descriptions):**
- Descriptive process for evaluating production outcomes based on defined statistical tolerances.
### Summary of Key Insights:
The image analyzed is a technical or academic document related to statistical evaluation methods in production. It includes a series of mathematical equations that define statistical distributions (Weibull and Rayleigh) and describes a methodology for assessing production capability through tolerance intervals. The text analysis reveals a precise approach to quality control and assurance in manufacturing settings.
The overall composition helps in understanding the context of the mathematical derivations, contributing to the document's aim of establishing standard statistical methods in manufacturing processes.
####################
File: VW%2010130_CS.pdf
Page: 9
Context: # 3.2.1 Zjištění způsobilosti u definovaných distribučních modelů
## 3.2.1.1 Charakteristiky způsobilosti
Pro prověřování výrobní charakteristiky, jejíž namátkové vzorky nejsou v rozporu s teoreticky očekávaným distribučním modelem, jsou charakteristiky způsobilosti odhadovány podle příslušného případu (viz také příklady 1 a 2 v oddílu 5) podle následujících vzorců:
Charakteristiky způsobilosti pro oboustranně tolerovanou charakteristiku (podle DIN 56319, metoda M4), např. pro délkovou míru:
\[
\hat{c}_{m} = \frac{G_u - G_l}{X_{0.95} - X_{0.135}}
\]
Charakteristiky způsobilosti pro jednoduše nahoře tolerovanou charakteristiku s přirozenou dolní mentní hodnotou rovnou nule, např. radiální házení:
\[
\hat{c}_{m} = \frac{G_u - \mu}{X_{0.995} - X_{0.135}}
\]
Charakteristika způsobilosti pro jednoduše dole tolerovanou charakteristiku, např. pro pevnost v tahu:
\[
\hat{c}_{m} = \frac{\mu - G_l}{\mu - X_{0.135}}
\]
přičemž:
- \(G_u, G_l\): maximální rozměr, popř. minimální rozměr
- \(\mu\): odhadovaná střední hodnota
- \(X_{0.135}, X_{0.995}\): odhadované hodnoty pro hranice intervalu spolehlivosti (kvantily, pod nimiž leží uvedený podíl p naměřených hodnot)
Image Analysis:
### Analysis of the Attached Visual Content
#### 1. **Localization and Attribution**
- **Image 1**: Single image provided.
#### 4. **Text Analysis**
- **Image 1**: The image contains textual content in Czech that relates to statistical characteristics for evaluating the capability of manufacturing processes with respect to a theoretical distribution model. It includes formulas and explanations for various capability indices. Key points from the text include:
- **Section Title**: "Zjistění způsobilosti u definovaných distribučních modelů" (Determination of Capability for Defined Distribution Models).
- **Subsection Title**: "Charakteristiky způsobilosti" (Capability Characteristics).
- Descriptions of different capability indices and relevant formulas.
- Explanation of symbols used in the formulas at the bottom.
#### 5. **Diagram and Chart Analysis**
- There are no diagrams or charts present in the image.
#### 12. **Graph and Trend Analysis**
- No graphs are present in the image.
#### 13. **Graph Numbers**
- Not applicable as there are no graphs present in the image.
#### **Additional Aspects**
- **Ablaufprozesse (Process Flows)**
- No process flows depicted in the image.
- **Prozessbeschreibungen (Process Descriptions)**
- The text provides descriptions of processes for estimating capability indices.
- **Typen Bezeichnung (Type Designations)**
- Types of capability indices are described through formulas (e.g., \( \hat{c}_{mk} \)).
- **Trend and Interpretation**
- The image contains detailed statistical formulas and descriptions for various capability indices. The general trend is an analytical one focusing on the precise quantification and evaluation of manufacturing characteristics relative to distribution model expectations.
- **Tables**
- No tables are present in the image.
### Detailed Descriptions
1. **Localization and Attribution**
- **Image 1**: The entire page is an image located as a single page document.
2. **Object Detection and Classification**
- **Image 1**: The primary objects are textual elements comprising paragraphs, formulas, and explanatory notes.
3. **Scene and Activity Analysis**
- **Image 1**: The image represents a textual document page, likely from an academic or technical manual on quality control and statistical analysis of manufacturing processes.
4. **Perspective and Composition**
- **Image 1**: The image is a scanned page taken from a direct, flat perspective. The composition is structured in a traditional academic format with section headings, formulas, and explanatory text.
5. **Color Analysis**
- **Image 1**: The image is grayscale, typical for scanned academic documents.
### Conclusion
The image provided is a page from a technical document detailing the statistical evaluation of manufacturing processes' capability indices. The section primarily consists of textual explanations and formulas with no diagrams, charts, or additional graphical elements. The text is in Czech and is aimed at providing precise definitions and calculations related to manufacturing process evaluation.
####################
File: VW%2010130_CS.pdf
Page: 10
Context: # 3.2.1.2 Odhad statistických parametrů
Statistické parametry střední hodnota \( \mu \) a smírodatná odchylka \( \sigma \) základního souboru lze nezávisle na distribučním modelu podle očekávání odhadnout z naměřených hodnot vzorku pomocí vzorců:
\[
\mu = \frac{1}{n} \sum_{i=1}^{n} x_i \tag{2.6}
\]
\[
\sigma^2 = \frac{1}{n - 1} \sum_{i=1}^{n} (x_i - \bar{x})^2 \tag{2.7}
\]
přičemž:
- \( n_p = n_e - n_a \): efektivní rozsah namátkové zkoušky
- \( n_a \): zvolený rozsah namátkové zkoušky
- \( n = \): počet odlehlých hodnot
- \( \hat{\theta} \): i-tá hodnota parametru
V případě vyhodnocovaných dat ve formě rozdělení četností tříděných naměřených hodnot, např. v rozčlenění za oblastí jako formy čárek v rozdělení tříd rozsahu hodnot (statistika četností) lze odhadnout parametry \( \mu \) a \( \sigma \) pomocí vzorce:
\[
\hat{\mu} = \frac{1}{n} \sum_{k=1}^{K} f_k \cdot x_k \tag{2.9}
\]
\[
\sigma = \sqrt{\frac{1}{n} \sum_{k=1}^{K} f_k \cdot (x_k - \bar{x})^2} \tag{2.10}
\]
přičemž:
- \( x_k \): střední hodnota k-té třídy
- \( f_k \): absolutní četnost naměřených hodnot v k-té třídě (bez mimořádných hodnot)
- \( K \): maximální počet naměřených hodnot
## 3.2.1.3 Odhad hranic intervalu spolehlivosti
Hranice intervalu spolehlivosti závisí na distribučním modelu a odhadují se následujícím způsobem:
### Hranice intervalu spolehlivosti normálního rozdělení:
V případě normálního rozdělení jako vhodného distribučního modelu vyplněnou hodnot zjištěných podle (2.6) a (2.7) popř. (2.9) a (2.10) jako \( \hat{\mu} \) a \( \hat{\sigma} \) pro oblast intervalu spolehlivosti:
\[
\hat{I} = \hat{\mu} \pm z_{\alpha/2} \cdot \hat{\sigma} \tag{2.11}
\]
které opět po dosazení do vzorců (2.1) a (2.2) dají klasické vzorce pro výpočet charakteristik způsobilosti (viz také příklad 1 v oddílu 5).
Image Analysis:
### Analysis of Visual Content
#### 1. Localization and Attribution
- This visual content contains a single page consisting mainly of text and mathematical notations. For the purpose of this analysis, it will be referred to as **Image 1**.
#### 4. Text Analysis
- **Title and Section Numbers:**
- The page begins with "Strana 10", which means "Page 10" in Czech.
- Standard reference: "VW 101 30: 2005-02".
- Section "3.2.1.2 Odhad statistických parametrů" translates to "Estimation of Statistical Parameters".
- **Content Description:**
- **Subsection (Statistical Parameters):**
- Talks about the mean value (μ) and standard deviation (σ) of a sample.
- Equations (2.6) describe the computation of the mean:
- \(\hat{μ} = \frac{1}{n_e} \sum_{i=1}^{n_e} x_i\)
- Equation (2.7) describes the computation of the standard deviation:
- \(\hat{σ}^2 = \frac{1}{n_e - 1} \sum_{i=1}^{n_e} (x_i - \bar{x})^2\)
- **Explanation of Terms (Equations and Variables):**
- \(n_e\): Effective sample size.
- \(n_a\): Chosen sample size.
- \(n_o\): Number of outliers.
- \(x_i\): i-th observed value.
- **Distribution of Frequency Data:**
- Equations (2.9) and (2.10) provide methods to estimate parameters with frequency data.
- **Interval Estimates (Confidence Interval):**
- Section "3.2.1.3 Odhad hranic intervalu spolehlivosti" translates to "Estimation of Confidence Interval Limits".
- Equation (2.11) defines boundary estimation using standard deviation:
- \(x_{1-α/2} = \hat{x} \pm 3\hat{\sigma}\), assuming a normal distribution.
#### 6. Product Analysis
- N/A (The page contains no relevant product imagery or descriptions).
#### 9. Perspective and Composition
- **Perspective:**
- The perspective of the image is a straightforward, flat view of a document page, conducive to reading.
- **Composition:**
- Text is composed in a traditional structured manner, common in technical or scientific documents.
- Equations are interspersed within the text, formatted clearly for comprehension.
#### 12. Graph and Trend Analysis
- N/A (The page contains no graphical plots or trends).
#### 13. Graph Numbers
- N/A (The page does not contain graphs with data rows).
#### Contextual Significance
- The page appears to be part of a technical or academic document, specifically focusing on statistical analysis and estimation methods. The context implies it is likely part of a standardized instruction or educational material, possibly related to an engineering or scientific field.
- The inclusion of mathematical equations and the focus on statistical parameters suggest the intended audience is individuals with a foundational understanding of statistics.
Overall, the detailed text analysis suggests that the document is instructional or explanatory in nature, intended for readers who are learning about or applying statistical methodologies.
####################
File: VW%2010130_CS.pdf
Page: 11
Context: # Hranice intervalu spolehlivosti Weibullova rozdělení
Pro zjištění hranic intervalu spolehlivosti pro Weibullova rozdělení se nejprve podle vzorce (2.6) a (2.7), popř. (2.9) a (2.10) odhadnou veličiny \(\eta\) a \(\sigma\).
Pro případ, že \(2 < \frac{\mu}{\sigma} < 3\) se pak z odhadnutých veličin \(\eta\) a \(\sigma\) způsobem odhadu hledají hodnoty parametrů \(\mu_N\) a \(\sigma_N\) příslušného Weibullova rozdělení:
Z rovnice (1.9) získáme funkci
\[
\frac{\bar{\mu}}{\sigma} = \frac{\left( \frac{\partial \bar{\mu}}{\partial \eta} \right) }{\left( \frac{\partial \bar{\mu}}{\partial \sigma} \right)} + 2 \cdot \frac{\eta}{\sigma} \cdot \frac{e^{-\frac{\eta}{\sigma}}}{\sqrt{2\pi}} \cdot \frac{\partial L}{\partial \sigma} \tag{2.12}
\]
Pomocí rovnice (1.10) z toho vyplývá funkce
\[
\mu = \psi \cdot \left( \frac{\bar{\mu}}{\sigma} \right) \tag{2.13}
\]
Z rovnic (1.11) a (1.12) vyplývá podmínka
\[
\frac{\bar{\mu}}{\sigma} = \frac{\sqrt{2}}{ \sqrt{\pi - 2}} = 1.3236 \tag{2.14}
\]
Hledané hodnoty parametrů Weibullova rozdělení tak lze za podmínek (2.14) odhadnout pomocí
\[
\sigma_N = \left( 1 + \left( \frac{\bar{g}}{\eta} \right)^2 \right) \cdot \left( \frac{\bar{\psi}}{\eta} \right)^2 \tag{2.15}
\]
\[
\mu_N = \bar{\alpha} \left( \frac{\bar{g}}{\eta} \right) - \delta_N \tag{2.16}
\]
přičemž
\[
\bar{g} = \text{inverzní funkce } k \tag{2.17}
\]
Pro případ, že by poměr \(\mu / \sigma\) na základě náhodných odchylek parametrů vzorků byl menší než mezní hodnota 1.3236 z podmínky (2.14), je poměr \(\mu / \sigma\) nastaven na tuto mezní hodnotu, při které vyplynou následující hodnoty parametrů:
\[
\mu_N = 0 \text{ podle vzorce (1.12)}
\]
\[
\sigma_N = \sqrt{\frac{\pi}{\pi - 2}} \cdot 1.659 \cdot \hat{g} \tag{2.17}
\]
Image Analysis:
### Comprehensive Examination of the Visual Content:
#### 1. **Localization and Attribution:**
- Only one page/image is present.
- Thus, this is **Image 1**.
#### 2. **Object Detection and Classification:**
- The primary objects detected in the image are as follows:
- **Text**: Primarily in the Czech language, with various mathematical equations.
- **Mathematical Notations**: Numerous equations and variables related to the Weibull distribution.
#### 4. **Text Analysis:**
- **Detected Text (in Czech):**
- Title: "Hranice intervalu spolehlivosti Weibullova rozdělení"
- Description of methodology for deriving confidence intervals for the Weibull distribution. Reference to equations and conditions for calculating μ̂ and σ̂.
- Equations (e.g., equations 2.12, 2.13, 2.14, etc.) are outlined throughout the text.
- Mention of parameters: μ̂, σ̂, ψ, θ, ξ, k, and specific constants.
- Application of the method for different cases, including references to formulas 2.15 and 2.17.
- **Content Analysis and Significance:**
- The text details the process of determining confidence intervals for the Weibull distribution.
- Equations provided in the text, along with their conditions and necessary adjustments, are vital for statistical calculations related to reliability engineering and life data analysis.
- The significant constants and functions derived play a crucial role in achieving accurate estimation.
#### 8. **Color Analysis:**
- The entire page is monochrome (black text on white background).
- Dominant colors: Black and white.
- Impact: Monochrome setup ensures clarity and focus on mathematical content without distractions.
#### 9. **Perspective and Composition:**
- **Perspective:**
- Straight-on view of the text and equations, similar to an academic paper.
- **Composition:**
- Structured and organized with sections, equations, and explanatory text. Equations are referenced and numbered systematically.
- Uses mathematical notation standards, ensuring clarity for readers familiar with the subject matter.
#### 11. **Metadata Analysis:**
- **Metadata present on the page:**
- "Strana 11" (Page 11)
- Document identifier: "VW 101 30: 2005-02"
- **Contribution to Image Analysis:**
- These metadata elements indicate that this is part of a larger document, likely a technical paper or a standard reference document dated February 2005.
#### 12. **Graph and Trend Analysis:**
- Although no explicit graphs are visible, the series of equations and their dependencies could represent trends in the data if plotted.
- Interpretation of equations and relationships between variables can direct trends in reliability and quality metrics calculated from the Weibull distribution.
### Additional Aspects:
#### **Process Descriptions (Prozessbeschreibungen):**
- Detailed steps are described for deriving confidence intervals of the Weibull distribution. This includes:
- Use of initial equations.
- Manipulations to reach simplified forms.
- Final conditions for variables.
#### **Typen Bezeichnung (Type Designations):**
- Various types of functions and variables such as:
- Inverse function "ξ"}
- Functions "ψ" and "θ".
- Conditional variance "σ̂"
#### **Trend and Interpretation:**
- Trends in the equations provided indicate a relationship between the mean and variance of the Weibull distribution under different conditions. This is significant for reliability analysis, helping in maintenance planning and lifespan estimation.
#### **Tables:**
- There are no explicit tables in the image.
### Summary:
The page provides a detailed explanation and mathematical derivations for calculating confidence intervals for the Weibull distribution. It uses a systematic approach with labeled equations and clear methodological steps. This is crucial for statistical analyses in fields such as reliability engineering. The metadata indicates this is part of a larger technical document.
####################
File: VW%2010130_CS.pdf
Page: 12
Context: # Strana 12
VW 101 30: 2005-02
Souvislost mezi hodnotami parametrů \( \lambda_N \) a \( \sigma_W \) Weibullova rozdělení a statistických veličin \( \mu \) a \( c \) je graficky znázorněno na obrázku 5 vztaženo na \( c \).
Pro přizpůsobené Weibullovo rozdělení lze pak čísleně zjistit hranice intervalů spolehlivosti, jejichž závislost na relativní poloze je znázorněna v obrázku 6.
Image Analysis:
### Localization and Attribution
1. **Image 1:**
- Position: Top of the page
- Description: Chart showing relative position of Weibull distribution parameters.
2. **Image 2:**
- Position: Bottom of the page
- Description: Chart illustrating the relative confidence interval boundaries of the Weibull distribution.
### Object Detection and Classification
#### Image 1:
- **Objects:**
- Graph.
- Axes (X and Y).
- Curves.
#### Image 2:
- **Objects:**
- Graph.
- Axes (X and Y).
- Curve.
### Scene and Activity Analysis:
#### Image 1:
- **Scene Description:**
- The image shows a line graph that represents the relationship between relative position and relative parameter values of the Weibull distribution.
- **Activities:**
- Analysis of the relationship between different statistical parameters in Weibull distribution.
#### Image 2:
- **Scene Description:**
- The image displays a graph that shows the relative confidence interval boundaries as a function of relative position for a Weibull distribution.
- **Activities:**
- Analysis of the confidence interval's behavior with changes in relative position.
### Text Analysis:
- **Image 1 Text:**
- Graph Title: "Obrázek 5 – Relativní poloha parametrů Weibullova rozdělení v závislosti na relativní poloze"
- Axis Labels:
- X-axis: "relativní poloha μ/σ"
- Y-axis: "relativní distribuiční parametr"
- Other Text: "μ_N / σ", "σ_N / μ"
- **Significance:**
- The graph demonstrates how the Weibull distribution parameters change with the relative position.
- **Image 2 Text:**
- Graph Title: "Obrázek 6 – Relativní hranice intervalu spolehlivosti Weibullova rozdělení v závislosti na relativní poloze"
- Axis Labels:
- X-axis: "relativní poloha μ/σ"
- Y-axis: "relativní hranice intervalu spolehlivosti"
- Other Text: "X_99.865% / σ", "X_0.135% / σ"
- **Significance:**
- The graph illustrates how the confidence intervals' limits change with the relative position in a Weibull distribution.
### Diagram and Chart Analysis:
#### Image 1:
- **Axes and Scales:**
- X-axis: Relative position (μ/σ) ranging approximately from 1.2 to 3.0.
- Y-axis: Relative distribution parameter, ranging from 0 to 2.5.
- **Curves:**
- There are multiple curves indicating different parameter relationships.
#### Image 2:
- **Axes and Scales:**
- X-axis: Relative position (μ/σ) ranging from approximately 1.2 to 3.0.
- Y-axis: Relative confidence interval boundary, ranging from 0 to 7.
- **Curve:**
- There is a single curve indicating the boundary of the confidence interval.
### Trend and Interpretation:
#### Image 1:
- **Trend:**
- The distribution parameters increase with the relative position.
#### Image 2:
- **Trend:**
- The confidence interval boundaries show a slight increase as the relative position increases.
### Contextual Significance:
- **Overall Theme:**
- The images contribute to the understanding of how Weibull distribution parameters and confidence intervals vary with changes in relative position. This information is useful in reliability engineering and statistical analysis for understanding the behavior of materials or systems described by the Weibull distribution.
### Graph and Trend Analysis:
#### Image 1:
- The plotted curves show different relationships between Weibull distribution parameters and their relative positions, indicating how these parameters interact with one another under different circumstances.
#### Image 2:
- The graph shows the change in the boundaries of confidence intervals for the Weibull distribution as the relative position varies, which is crucial for assessing the reliability with a certain confidence level.
####################
File: VW%2010130_CS.pdf
Page: 13
Context: Pro primé zjištění charakteristik \(\mu_N\) a \(\sigma\) z charakteristik \(\mu\) a \(\sigma\) pro \(1.3236 < \frac{\sigma}{\mu} < 3\) s dostatečnou přesností použít následující aproximaci jako inverzní funkci vztahu (2.13) (chyba vztažena na \(\sigma\) méně než 0,1):
\[
\frac{\sigma}{\mu} = 1.604 \left( \frac{a}{1.3236} \right) + 0.634 \left( \frac{a}{1.3236} \right)^2
\]
Navíc může být zjištěn hranic intervalů spolehlivosti pro \(1.3236 < \frac{\sigma}{\mu} < 3\) provedením pomoci následující aproximace (chyba vztažena na \(\sigma\) je menší než 0,02):
\[
\begin{aligned}
& \frac{Z_{0.05}}{ \sqrt{n}} \left( \frac{a}{1.3236} \right) = 1.321 \\
& \frac{R}{\sqrt{n}} \left( \frac{a}{1.3236} \right) = \text{(další výraz)}
\end{aligned}
\]
Pro \(\frac{I}{\sigma < 3}\) se vypočet hranic intervalů spolehlivosti provedlo podle 2.11.
## Hranice intervalu spolehlivosti Rayleighova rozdělení:
Pro zjištění hranic spolehlivosti pro Rayleighovo rozdělení (viz také příklad 2 v oddílu 5) se nejprve podívejte vzorce (2.6) a (2.7), popřípadě (2.9) a (2.10) odhadnouvací veličiny \(\mu\) a \(\sigma\). Pro případ, že \(\frac{I}{\sigma} < 6\) se pak z odhadnutých veličin \(\mu\) a \(\sigma\) následujícím způsobem zjistí hledané hodnoty parametru \(z\) pro přizpůsobeného Rayleighova rozdělení:
Z rovnic (1.14) a (1.16) získáme funkci:
\[
\frac{d \mu}{d N} = \frac{B^2}{\left( \frac{d \sigma}{d N} \right)} \cdot \frac{d}{dz} \left( e^{-z^2 / 2} \right) \left( v_0 \cdot e^{z} \cdot \left( \int_0^{\infty} e^{-z^2} \, dz \right) \right)
\]
přičemž
\[
v = \frac{r}{d N}
\]
Pomocí rovnice (1.17) z toho vyplývá funkce:
\[
\frac{d \sigma}{d N} = -2 \left( \frac{z}{d}{\sigma - \left( \frac{v^2}{d \sigma} \right)} \right)
\]
Z rovnic (1.20) a (1.21) vyplývá podmínka:
\[
\frac{\mu}{\sigma} = \frac{\pi}{4 - \pi} = 1.9131
\]
Image Analysis:
### Comprehensive Examination of the Provided Visual Content
#### **Localization and Attribution:**
- The provided content consists of a single page with textual and mathematical content.
#### **Object Detection and Classification:**
- **Image 1**: This image contains several mathematical equations and explanatory text in a structured format.
- **Objects Detected:**
- Text paragraphs
- Mathematical symbols and equations
#### **Scene and Activity Analysis:**
- **Image 1**:
- **Scene Description:** The image displays a page from what appears to be a technical or academic document. The content is written in a structured manner with several paragraphs, equations, and figures.
- **Activities:** The main activity involves the presentation of mathematical derivations, approximations, and equations used to describe specific characteristics and intervals in a statistical or scientific context.
#### **Text Analysis:**
- **Image 1**:
- **Detected Text:**
- The text is in Czech.
- It includes headings like "Hraniční interval spolehlivosti Rayleighova rozdělení" which translates to "Rayleigh Distribution Confidence Interval."
- Other notable phrases include "Pro přímé zjištění charakteristik" translating to "For direct determination of characteristics".
- **Text Significance:**
- The text serves to explain the mathematical derivations and approximations used for determining characteristics in the context of the Rayleigh distribution.
#### **Diagram and Chart Analysis:**
- **Image 1**:
- There are no diagrams or charts to analyze.
#### **Product Analysis:**
- **Image 1**:
- There are no products depicted in this image.
#### **Anomaly Detection:**
- **Image 1**:
- No noticeable anomalies or unusual elements are present. The page appears to be a standard academic or technical document.
#### **Color Analysis:**
- **Image 1**:
- The image is in grayscale. The dominant colors are black (for text and symbols) and white (background). This has a neutral impact and facilitates readability.
#### **Perspective and Composition:**
- **Image 1**:
- **Perspective:** The image is taken from a front-facing view, showing the entire page clearly.
- **Composition:** The content is well-organized, with equations and text clearly separated. Headings and subheadings are used to break down the information.
#### **Contextual Significance:**
- **Image 1**:
- This image seems to be a page from a statistical or mathematical academic document. It contributes to the overall message by providing detailed mathematical explanations and derivations pertinent to the document's subject.
#### **Metadata Analysis:**
- **Image 1**:
- There is no accessible metadata to analyze.
#### **Graph and Trend Analysis:**
- **Image 1**:
- No graphs are present in this image.
#### **Trend and Interpretation:**
- **Image 1**:
- The image mostly focuses on providing mathematical formulas and explanations without exhibiting any discernible trends.
#### **Tables:**
- **Image 1**:
- No tables are provided in this image.
#### **Ablaufprozesse (Process Flows):**
- **Image 1**:
- No process flows are depicted.
#### **Prozessbeschreibungen (Process Descriptions):**
- **Image 1**:
- The image describes processes for calculating reliable intervals using Rayleigh distribution, but no step-by-step processes or workflows are visually depicted.
#### **Typen Bezeichnung (Type Designations):**
- **Image 1**:
- The content includes type designations for various mathematical terms and variables in the context of Rayleigh distribution and interval reliability.
---
This comprehensive analysis covers the significant aspects of the provided image, focusing on its academic and technical content.
####################
File: VW%2010130_CS.pdf
Page: 14
Context: # Strana 14
VW 101 30: 2005-02
Hledané hodnoty parametrů Rayleighova rozdělení tak lze za podmínek (2.23) odhadnout pomocí:
\[
\sigma_N = \sqrt{ \left( 1 + \left( \frac{\mu}{\sigma} \right)^2 \right) \frac{(1 + \frac{1}{\sqrt{2}})^2}{2} } \; \sigma \;
\]
(2.24)
\[
\hat{z} = \frac{\xi_{2}}{2} + \sigma_N
\]
(2.25)
při čemž
\[
\xi_{2} = \text{inverse Funktion von (2.22)}
\]
Pro případ, že by poměr \(\frac{\mu}{\sigma}\) na základě náhodných odchylek parametrů vzorků byl menší než mezí hodnota 1.9131 z podmínek (2.23), je poměr \(\frac{\mu}{\sigma}\) nastaven na tuto mezí hodnotu, při které vyplývá následující hodnoty parametrů:
\[
\hat{z} = 0 \; podle vzorce \; (1.21)
\]
(2.26)
Souvislost mezi hodnotami parametrů \(\sigma_N\) a \(\sigma\) Rayleighova rozdělení a statistických veličin \(\mu\) a \(\sigma\) je graficky znázorněna na obrázku 7, vztaženo k \(\alpha\).
## Obrázek 7 - Relativní poloha parametrů Rayleighova rozdělení v závislosti na relativní poloze
| relativní poloha \(\mu/\sigma\) | relativní distribučí parametry |
|----------------------------------|----------------------------------|
| 1.5 | 0 |
| 2 | 1 |
| 2.5 | 3 |
| 3 | 5 |
| 5 | 7 |
Image Analysis:
1. **Localization and Attribution:**
- **Image 1:** Located at the top section of the page. This image contains mathematical equations and text explanations.
- **Image 2:** Located below Image 1. This is a graph titled "Obrázek 7 – Relativní poloha parametrů Rayleighova rozdělení v závislosti na relativní poloze."
2. **Object Detection and Classification:**
- **Image 1 Objects:**
- Mathematical equations.
- Descriptive text.
- **Image 2 Objects:**
- Graph with axes, scales, data points, and labels.
3. **Text Analysis:**
- **Image 1 Text:**
- The text includes mathematical formulas and equations related to the calculation of parameters in a statistical distribution (specifically, a Rayleigh distribution).
- Descriptions and explanation of these formulas in the Czech language.
- **Extracted Equations:**
- \[ \hat{\sigma}_N = 1 + \frac{\hat{\mu}}{\hat{\sigma}} \]
- \[ \hat{z} = 6_{82}(\hat{\sigma}) + \hat{\sigma}_N \]
- \[ \hat{\sigma} = \sqrt{\frac{2}{4 - \pi}} . \hat{\sigma} = 1,526 . \hat{\sigma} \]
- **Image 1 Text Content:**
- The text explains the derivation and estimation of maximum likelihood parameters and their relationships, referencing specific equations.
- **Extracted Passages:**
- "Pro případ, že by poměr \(\hat{\mu}/\hat{\sigma}\)..."
- "Souvislost mezi hodnotami parametrů... Rayleighova rozdělení a statistických veličin \(\mu\) a \(\sigma\)..."
4. **Diagram and Chart Analysis:**
- **Image 2 Graph:**
- The x-axis is labeled "relativní poloha μ/σ" (relative position μ/σ).
- The y-axis is labeled "relativní distribuční parametr" (relative distribution parameter).
- The graph includes two curves: one labeled "Z/σ" and the other "σ_N /σ".
- **Axes and Scales:**
- X-axis ranges from 1.5 to 6.0.
- Y-axis ranges from 0 to 7.
- **Key Insights:**
- The graph visualizes the relationship between relative positions and distribution parameters in the context of a Rayleigh distribution, showing how parameters evolve with changes in μ/σ.
5. **Graph Numbers (Image 2):**
- Data points for "Z/σ":
- \( \mu/σ = 1.5 \rightarrow Z/σ \approx 0.5 \)
- \( \mu/σ = 2.5 \rightarrow Z/σ \approx 1.0 \)
- \( \mu/σ = 3.5 \rightarrow Z/σ \approx 2.7 \)
- \( \mu/σ = 4.5 \rightarrow Z/σ \approx 4.5 \)
- \( \mu/σ = 5.5 \rightarrow Z/σ \approx 5.8 \)
- Data points for "σ_N /σ":
- \( \mu/σ = 1.5 \rightarrow σ_N /σ \approx 1.5 \)
- \( \mu/σ = 2.5 \rightarrow σ_N /σ \approx 1.8 \)
- \( \mu/σ = 3.5 \rightarrow σ_N /σ \approx 2.0 \)
- \( \mu/σ = 4.5 \rightarrow σ_N /σ \approx 2.03 \)
- \( \mu/σ = 5.5 \rightarrow σ_N /σ \approx 2.1 \)
####################
File: VW%2010130_CS.pdf
Page: 15
Context: # Pro přizpůsobené Rayleighovo rozdělení
Pro přizpůsobené Rayleighovo rozdělení lze pak číselně zjistit hranice intervalů spolehlivosti, jejichž závislost na relativní poloze je znázorněna na obrázku 8.
## 1. Zjištění charakteristik
Pro přímé zjištění charakteristik \( \alpha \) a \( \sigma \) lze pro \( 1.9131 \leq \frac{\mu}{\sigma} < 6 \) s dostatečnou přesností použít také následující aproximaci jako inverzní funkci vztahu (2.22) (chyba vážená na \( c \) je menší než 0.02):
\[
\begin{equation}
\hat{\sigma}_{\alpha} = 2.1 \left( \frac{ \mu}{\sigma} - 1.9131 \right)^{3.630} + 0.466 \left( \frac{\mu}{\sigma} - 1.9131 \right)^{1.82}
\end{equation}
\]
Navíc může být zjištěn hranice intervalu spolehlivosti pro \( 1.9131 \leq \frac{\mu}{\sigma} < 6 \) provedením přímo pomocí následujících aproximací (chyba vážená na \( c \) je menší než 0.03):
\[
\begin{equation}
\hat{y}_{0.95} = -1.64 \left( \frac{ \mu }{ \sigma } - 1.9131 \right) + 2.075 \left( \frac{ \mu }{ \sigma } - 1.9131 \right) + 5.5485
\end{equation}
\]
\[
\begin{equation}
\hat{y}_{0.80} = 2.6 \cdot \exp\left( -1.7031 - 0.8 \left( \frac{ \mu }{ \sigma } - 1.9131 \right) \right) - 2.1206
\end{equation}
\]
Pro \( \mu / \sigma < 6 \) se výpočet oblasti rozpětí provádí podle vzorce (2.11).
Image Analysis:
1. **Localization and Attribution:**
- The document contains one image positioned centrally on the page.
- Numbering the image: Image 1.
2. **Object Detection and Classification:**
- Image 1 contains a line graph with axes and multiple plotted lines.
3. **Scene and Activity Analysis:**
- The scene depicts a line graph titled "Obrázek 8 – Relativní hranice intervalu spolehlivosti Rayleighova rozdělení v závislosti na relativní poloze" which translates to "Figure 8 – Relative confidence interval boundaries of the Rayleigh distribution in relation to relative position."
- The main activity involves analyzing data points on the graph that show the dependency of relative position on the relative confidence interval boundaries of Rayleigh distribution.
4. **Text Analysis:**
- Detected text in the image includes headings, descriptions, and annotations on the graph.
- The text explains mathematical relationships and provides formulas and numerical approximations relevant to the graph.
- Main formulas presented:
- Formula (2.27):
\[
\hat{ɛ_{a}} \left(\frac{\hat{µ}}{\hat{σ}}\right) = \frac{2.1}{\sqrt{\hat{µ}/\hat{σ}} -1.9131}^{-3.93} + 0.466 \left(\frac{\hat{µ}}{\hat{σ}} - 19131\right)^{1.42}
\]
- Formula (2.28):
\[
\hat{x}_{0.995,} \left(\frac{\hat{µ}}{\hat{σ}}\right) = -1.84 \left(\frac{\hat{µ}}{\hat{σ}} - 19131\right)^{0.82} + 2.075 \left(\frac{\hat{µ}}{\hat{σ}} - 19131\right) + 5.5485
\]
\[
\hat{x}_{0.995,} \left(\frac{\hat{µ}}{\hat{σ}}\right) = 2.6 \cdot \exp^{\left(-\frac{\hat{µ}}{\hat{σ}} - 1.703\right) \cdot 0.8} + 1.425 \cdot \left(\frac{\hat{µ}}{\hat{σ}} - 1.9131\right) - 2.1206
\]
5. **Diagram and Chart Analysis:**
- The horizontal axis is labeled "relativní poloha μ/σ" (relative position μ/σ), ranging from 1.5 to 6.
- The vertical axis is labeled "relativní hranice intervalu spolehlivosti" (relative confidence interval boundaries).
- The graph contains two plotted lines representing different data series: \( \hat{x_{0.995,} / σ} \) and \( \hat{x_{0.995,} / μ/σ} \).
- The trend shows that as the relative position increases, the relative confidence interval boundaries also change, which can be inferred from the behavior of the plotted lines.
13. **Graph Numbers:**
- The specific data points on the graph are not numerically listed in the image, but the graph provides a visual representation of the relationship between relative position and relative confidence interval boundaries.
- **Prozessbeschreibungen (Process Descriptions):**
- The text describes mathematical procedures for determining the relative confidence interval boundaries based on the characteristics of the Rayleigh distribution. This involves using specific formulas to approximate the results.
Overall, the image contributes to the comprehension of the mathematical relationships involved in the analysis of the Rayleigh distribution, offering a visual and analytical approach to understanding confidence interval boundaries concerning relative position.
####################
File: VW%2010130_CS.pdf
Page: 16
Context: # 3.2.2 Zjištění způsobilosti u nedf initovaných distribučních modelů
Pokud nelze vybrané charakteristiky přidat vhodný distribuční model nebo pokud naměřené hodnoty odebrané vzorku neodpovídají předpokládaném distribučním modelu, proveďte se neparemetrický odhad charakteristik způsobilosti metodou rozptylu v následně modifikované formě při zohlednění rozsahu namátkových vzorků.5 (viz také příklad 3 v oddílu 5):
## Charakteristiky způsobilosti pro oboustranně tolerovaný ukazatel:
\[
\hat{c}_{m} = \frac{G_{r} - G_{l}}{x_{u} - x_{l}} \tag{2.29}
\]
\[
\hat{c}_{m} = \min\left(\frac{G_{r} - x_{s_{95}}}{G_{r} - G_{l}}, \frac{x_{s_{95}} - G_{l}}{G_{r} - G_{l}}\right) \tag{2.30}
\]
## Charakteristiky způsobilosti pro jednosměrně nahoře tolerovanou charakteristiku a přirozenou dolní mezní hodnotu rovnou nule:
\[
\hat{c}_{m} = \frac{x_{0}}{x_{u}} \tag{2.31}
\]
\[
\hat{c}_{l} = \frac{G_{r} - x_{s_{95}}}{G_{r} - G_{l}} \tag{2.32}
\]
## Charakteristika způsobilosti pro jednosměrně dole tolerovanou charakteristiku:
\[
\hat{c}_{m} = \frac{x_{s_{05}} - G_{l}}{x_{u} - x_{l}} \tag{2.33}
\]
* přičemž
- \( x_{0} - x_{u} \): odhadované hodnoty horní a dolní hranice intervalu spolehlivosti
- \( \hat{x} \): odhadnutá hodnota 50%ního kvantilu
## V případě dílčí hodnoty je
\[
x_{s_{05}} = \bar{x} \tag{2.34}
\]
* přičemž
- **Median**, hodnota, která je zprostředná spolehlivosti naměřených hodnot.
\[
\hat{x}_{0} = \bar{x} + \frac{R}{2} \tag{2.35}
\]
* přičemž
- \( \bar{x} \) a \( R \) = normální rozdělení ukazatele.
Image Analysis:
### Analysis of the Attached Visual Content
#### Localization and Attribution:
**Single Image:**
The provided image appears on a single page, specifically labeled "Strana 16," which is the Czech word for "Page 16".
#### Text Analysis:
The text appears to be an excerpt from a technical document or manual, and it's written in Czech. The main headings and sections include:
1. **Section 3.2.2:**
- Title: "Zjištění způsobilosti u nedefinovaných distribučních modelů" which translates to "Determining capability for undefined distribution models."
- This section seems to discuss methods for estimating process capability when measured values or distribution models don’t conform to typical distribution assumptions.
2. **Formulas:**
- It contains several formulas for calculating different capability indices:
- Formula (2.29): Describes the general index for two-sided tolerances.
- Formula (2.30): Modified index considering range and sample.
- Formula (2.31) & (2.32): Indices for upper and lower one-sided tolerance characteristics.
- Formula (2.33): Another form of index for lower one-sided tolerance.
- Various parameters are defined:
- \( \hat{X}_{50\%} \): Estimated median value.
- \( \overline{X} \): Mean value.
- \( k \): Upper and lower confidence interval limits.
- \( R \): Range.
3. **Footnote:**
- There's a footnote numbered [5] indicating that the similar approach to capability calculation might have been used in previous guidelines or standards.
#### Diagram and Chart Analysis:
There are no diagrams or charts present on this page.
#### Mathematical Content Breakdown:
The image includes various mathematical formulas and symbols primarily indicating statistical measures:
- **Capability Indices (č.m, č mak, etc.)**: These are statistical metrics used to measure if a process meets specifications.
- **Odhad (Estimate)**: Terms related to upper and lower limits of the confidence interval.
- **Medián (Median)**: Measure of central tendency.
#### Contextual Significance:
Based on the title and technical nature of the content, this page likely belongs to a technical document detailing statistical process control (SPC) or quality control methods in manufacturing or production environments.
The formulas and their specific indices are significant for engineers or quality control professionals who need to understand and implement statistical methods to ensure manufacturing processes are within acceptable tolerance levels.
#### Anomaly Detection:
No anomalies are detected in terms of unusual elements or inconsistencies.
#### Perspective and Composition:
The image was taken from a straightforward, eye-level perspective suitable for documents. The composition follows a clear, structured format typical for technical documents, with headings, formulas, and related explanations.
#### Metadata Analysis:
No metadata information is available in the image provided.
This document seems to be quite technical and assumes the reader has a good understanding of statistical methods and quality control terminology. The detailed mathematical formulas are used to provide precise calculation methods for determining process capabilities in manufacturing or analysis scenarios.
####################
File: VW%2010130_CS.pdf
Page: 17
Context: \[
x_c = \frac{x_{\text{max}} + x_{\text{min}}}{2} \tag{2.36}
\]
\[
R = x_{\text{max}} - x_{\text{min}}: \text{rozpětí} \quad x_{\text{max}}, \, x_{\text{min}}: \text{maximální, popř. minimální naměřená hodnota efektivního celkového namátkového vzorku.}
\]
Opravným faktorem
\[
k = \frac{d}{d_n} \tag{2.38}
\]
je přitom zohledněn efektivní rozsah namátkových vzorků \(n_e\), přičemž:
\[
d^*: \text{očekávaná hodnota w rozdělení}^{6}
\]
Pro některé rozsahy namátkových vzorků \(n_e\) je v tabulce 1 uvedena hodnota \(d_n\).
### Tabulka 1 – Očekávaná hodnota w rozdělení v závislosti na \(n_e\)
| \(n_e\) | \(d_n\) |
|---------|---------|
| 20 | 3,74 |
| 25 | 3,93 |
| 30 | 4,09 |
| 35 | 4,21 |
| 40 | 4,32 |
| 45 | 4,42 |
| 50 | 4,50 |
Pro rozsahy namátkových vzorků, které jsou větší než 20, lze zjistit očekávané hodnoty w rozdělení podle následujícího přiblížení vzorce:
\[
d_n = \frac{1.748}{\sqrt{(\ln(n_e))}} \tag{2.39}
\]
V případě rozdělení četnosti setříděných naměřených hodnot je
\[
\bar{x}^* : \bar{x}^* \text{rovno horní popř. dolní mezi nejnižší, popř. nejspodnější obsazené třídy}
\]
\[
\bar{x}_{k} = x_{k} + \frac{n_{k} - A_{k}}{a_{k}} \cdot \Delta x \quad \text{pro } A_{k} < n_{k} \leq A_{k} + a_{k} \tag{2.40}
\]
přičemž
\(\bar{x}^*:\) spodní hranice k-té třídy \\
\(\Delta x:\) šířka třídy \\
\(a_k:\) absolutní četnost naměřených hodnot v k-té třídě \\
\(A_{k}:\) absolutní distribuční funkce naměřených hodnot až po spodní hranici k-té třídy
Image Analysis:
### Localization and Attribution
- **Image 1**: This is the only image on the page.
### Text Analysis
- **Image 1** contains mathematical equations, text, and a table:
**Text Content:**
- Title: "Tabulka 1 - Očekávaná hodnota v rozdělení v závislosti na ne"
- Columns & Rows Content:
- `ne` values: 20, 25, 30, 35, 40, 45, 50
- `d` values: 3.74, 3.93, 4.09, 4.21, 4.32, 4.42, 4.50
- Equations: Several equations are shown, such as:
- \( x_c = \frac{x_{\text{max}} + x_{\text{min}}}{2} \)
- Equation 2.36
- \( R = x_{\text{max}} - x_{\text{min}}: \) rozsah: maximální, popř. minimální naměřená hodnota efektivního celkového namátkového vzorku.
- Equation 2.37
- An equation defining `k`:
- \( k = \frac{d_e}{n_{n}} \)
- Equation 2.38
- \( d_e = 1.748 \cdot (ln(n_e))^{0.993} \)
- Equation 2.39
- Additional descriptions in Czech following these equations, likely explaining terms and application in sampling distribution.
### Diagram and Chart Analysis
- **Table 1 - Očekávaná hodnota v rozdělení v závislosti na ne**:
- A table showing the relationship between `ne` (likely sample size) and `d` (a distribution parameter or expected value).
### Anomaly Detection
- No visible anomalies in the image.
### Color Analysis
- The image is predominantly black-and-white, indicative of a document or textbook page. There are no other colors used.
### Perspective and Composition
- The image is a straight-on scan or capture of a document page with text and table components properly aligned and centered.
### Contextual Significance
- Based on the mathematical equations and detailed table, it is evident this image is part of a technical or academic document, likely focusing on statistical analysis or sampling methods.
### Graph and Trend Analysis
- The table shows a trend where the value of `d` increases with the increase of `ne`, describing the expected relationship in the sample size and a parameter of distribution.
### Graph Numbers
- From the table data:
- \( n_e \) values: 20, 25, 30, 35, 40, 45, 50
- \( d \) values: 3.74, 3.93, 4.09, 4.21, 4.32, 4.42, 4.50
####################
File: VW%2010130_CS.pdf
Page: 18
Context: # 3.3 Mezni hodnoty pro způsobilost stroje
Pro dosažení způsobilosti stroje pro sledovanou charakteristiku je nutno splnit následující požadavky z hlediska stanovených mezních hodnot \( C_{mk}^{Gen.} \) a \( C_{mk}^{Gen.} \):
\[
\bar{c}_{mk}^{Gen.} \geq c_{mk}^{Gen.} \tag{3.1}
\]
\[
\bar{c}_{mk}^{Gen.} \geq C_{mk}^{Gen.} \tag{3.2}
\]
v efektivním rozsahu námětkových vzorků \( n \geq 50 \).
Pokud není dohody nutno nic jiného, platí následující mezni hodnoty způsobilosti:
\[
C_{mk}^{Gen.} = 2,0
\]
\[
C_{mk}^{Gen.} = 1,67
\]
V případě, kdy je za účelných nákladů možná pouze jedna prověrka s menším efektivním rozsahem námětkových vzorků než 50, je nutno následujícím způsobem přihlédnout k vyšší nejistotě a to vyplyvajících zjištěných charakteristik způsobilosti pomocí příslušně zvýšených mezních hodnot.
Zjištění mezních hodnot pro efektivní rozsahy námětkových vzorků menší než 50 je přitom vztaženo na mezní hodnoty, které lze z požadavku (3.1) nebo (3.2) pro prověřování základní soubor dodržet z 95% pravděpodobností (dolní meze oblasti spolehlivosti).
Ty vyplývají ze předpokladů normálně rozděleného základního souboru z horní mezí oblasti spolehlivosti směrodatné odchylky:
\[
\sigma = \frac{49}{\sqrt{n}} \tag{3.3}
\]
a statistické podílové oblasti pro výrobní rozptyl:
\[
X_{89,965} = \mu + t_{(1 - \alpha/2, n - 2)} \cdot \sigma \left(1 + \frac{1}{n}\right)^{1/2} \tag{3.4}
\]
\[
U_{89,965} = 3.0: \quad \text{kvalitní standardizované normální rozdělení}
\]
\[
\chi^2_{(n-1)} = 33.9: \quad \text{kvalitní rozdělení chi kvadrát při stupni volnosti } f = 49 \text{ (viz také 1)}
\]
Image Analysis:
### Image Analysis
#### 1. Localization and Attribution:
- **Image 1**:
- The entire page is a single image.
#### 2. Object Detection and Classification:
- Text: This is the primary element on the page.
- Mathematical Equations: Several equations and formulas are listed.
- Diagrams: There are diagrammatic representations, likely related to statistical or mathematical calculations.
#### 3. Scene and Activity Analysis:
- The image presents a technical document with text explaining processes and mathematical requirements.
- The key activities include presenting and calculating certain tolerance indices for machinery, specifying effective sample size, and the boundary regions for confidence intervals.
#### 4. Text Analysis:
- **Header Text**:
- "Strana 18"
- "VW 101 30: 2005-02"
- This indicates the page number and a standard code or document identifier.
- **Section Header**:
- "3.3 Mezní hodnoty pro způsobilost stroje"
- This means "3.3 Limiting values for machine capability" in Czech.
- **Body Text**: A detailed discussion on calculating limiting values for machine capability, necessary sample sizes, specific formulas, and statistical bounds.
- **Equations and Formulas**:
- Several mathematical representations, such as C_m, C_mk, and related statistical variables.
#### 5. Diagram and Chart Analysis:
- **Diagrams**: Present mathematical formulations - likely for normalizing effective ranges and determining probability limits. These diagrams support the equations presented in the text.
#### 6. Product Analysis:
- **Not Applicable**: No products are depicted.
#### 7. Anomaly Detection:
- **None Identified**: The document seems professionally structured with no unusual elements.
#### 8. Color Analysis:
- The document is primarily black and white, typical of formal technical documents to ensure clear readability.
#### 9. Perspective and Composition:
- **Perspective**: Top-down view of a single-page document.
- **Composition**: The text is segmented by headings and subheadings. Equations and diagrams are integrated within the sections for clarity.
#### 10. Contextual Significance:
- This image is part of a larger technical document or engineering manual, providing specific standards, calculations, and tolerances.
#### 11. Metadata Analysis:
- **Not Available**: No metadata is embedded in the image.
#### 12. Graph and Trend Analysis:
- Equations suggest statistical norms and tolerance ranges, but no trend analysis is required as the focus is on static formulas.
#### 13. Graph Numbers:
- **Extracted Equation Elements**:
- `C_m, C_m_gen`
- `C_mk, C_mk_gen`
- `49`
- `3.0`
- `33.9`
- `49`
#### Additional Aspects:
- **Ablaufprozesse (Process Flows)** and **Prozessbeschreibungen (Process Descriptions)**:
- The process describes the calculation of machine capability indices and bounds.
- **Typen Bezeichnung (Type Designations)**:
- Designations like `C_m` and `C_mk` are types of capability indices.
- **Trend and Interpretation**:
- The focus is on calculating tolerance and capability thresholds to ensure machine accuracy and reliability.
- **Tables**:
- No tables are identified in this specific image.
In summary, this document page is primarily instructional, detailing the statistical methods and calculations necessary for determining machine capability in an engineering context. The detailed equations and sample size requirements highlight the precision needed for industrial standards.
####################
File: VW%2010130_CS.pdf
Page: 19
Context: # Transformace a dosazením do vyhodnocovacích vzorců
(2.1) a (2.2) z toho vyplývá mezě způsobilosti pro základní soubor
\[
c_{m} \geq \frac{2 \times 5.26}{49} \cdot 0.832
\]
(3.5)
\[
c_{mk} \geq \frac{1}{1 + \frac{1}{100}} \cdot \frac{1 \times 5.26}{49} \cdot 0.824
\]
(3.6)
Z toho vyplývá pro efektivní rozsahy namátkových vzorků \(n_k < 50\) následující přizpůsobené hodnoty mezi způsobilosti:
\[
\hat{c}_{m} \geq c_{m, \text{G}rnez} \cdot 0.832 \cdot \sqrt{\frac{1}{2 \times n_k}} \cdot \left(\frac{f}{\sqrt{2}} \right)
\]
(3.7)
\[
\hat{c}_{mk} \geq c_{mk, \text{G}rnez} \cdot 0.824 \cdot \left(1 + \frac{1}{2 \cdot n_k}\right) \cdot \sqrt{f}
\]
(3.8)
se stupněm volnosti
\[
f = n_k - 1
\]
(3.9)
## Příklad
Při stanovených mezích způsobilosti \(c_{m, \text{G}rnez} = 2.0\), \(c_{mk, \text{G}rnez} = 1.67\) a efektivním rozsahu namátkových vzorků \(n_k = 20\) vyplývá podle vzorců (3.7) až (3.9) následující přizpůsobené mezní hodnoty pro oboustranně tolerovanou charakteristiku:
\[
\hat{c}_{m} \geq 2.0 \cdot 0.832 \cdot \sqrt{\frac{20}{10.1}} = 2.28
\]
\[
\hat{c}_{mk} \geq 1.67 \cdot 0.824 \cdot \left(1 + \frac{1}{2 \cdot 20}\right) \cdot \sqrt{\frac{20}{10.1}} = 1.93
\]
Image Analysis:
Here is the comprehensive analysis based on the provided image:
1. **Localization and Attribution:**
- There is only one image on the entire page, hence it is identified as **Image 1**.
4. **Text Analysis:**
- The image contains text in the Czech language, which outlines formulas and mathematical explanations.
- The header reads: "Strana 19 VW 101 30: 2005-02".
- The main content contains formulas and calculations concerning "meze způsobilosti pro základní soubor" which translates to "limits of capability for the basic set".
- Key formulas include:
- \( c_{m} \geq c_{m_{Grenze}} \cdot \sqrt{\frac{2x \cdot r}{49}} = 0.832 \cdot c_{m_{Grenze}} \) [Formula 3.5]
- \( c_{m_{k}} \geq c_{m_{k_{Grenze}}} \cdot \sqrt{\frac{1}{1 + \frac{1}{100}}} = 0.824 \cdot c_{m_{k_{Grenze}}} \) [Formula 3.6]
- There is an explanation following these formulas indicating that this is applicable when the number of random samples \( n_{k} < 50 \).
- Example calculations provided with specific values:
- \( c_{m} \geq 2.0 \cdot 0.832 \cdot \sqrt{\frac{20 - 1}{10.1}} = 2.28 \)
- \( c_{m_{k}} \geq 1.67 \cdot 0.824 \cdot \left( 1 + \frac{1}{2 \cdot 20} \right) \cdot \sqrt{\frac{20 - 1}{10.1}} = 1.93 \)
- There is a footer note explaining that the adjusted capability limits are used for cross-checking and stand as a compromise method due to a lack of more sophisticated procedures in practice for samples less than 50.
5. **Diagram and Chart Analysis:**
- The image does not contain any diagrams or charts.
8. **Color Analysis:**
- The document is primarily black and white. The absence of color emphasizes the text and mathematical formulas, providing clear readability for technical content.
9. **Perspective and Composition:**
- The image is taken from a straight-on perspective, likely a scan or direct capture of a document page. The text and formulas are centered and aligned to present a clear and structured format.
10. **Contextual Significance:**
- The document appears to be an excerpt from a technical manual or academic paper, likely related to statistical methods or quality control based on the context of the formulas and calculations provided.
- It contributes to explaining specific statistical parameters and their practical applications in determining capability limits for smaller sample sizes.
**Additional Aspects:**
- **Ablaufprozesse (Process Flows) and Prozessbeschreibungen (Process Descriptions):**
- The document does not depict any process flows or descriptions.
- **Typen Bezeichnung (Type Designations):**
- Types or categories of proficiency limits and sample sizes (e.g., "základní soubor" for the basic set, "efektivním" for effective range) are identified and described within the formulas.
- **Trend and Interpretation:**
- The formulas and examples illustrate the trend of adjusting capability limits when dealing with smaller sample sizes to ensure reliable quality control measures.
This comprehensive examination of the provided image covers all visual and textual aspects presented and their implications within a technical or academic context.
####################
File: VW%2010130_CS.pdf
Page: 20
Context: # 3.4 Statistické testy
Náměrné hodnoty prozkoumávat schopnost stroje zpravidla nesmí vykazovat:
- nečekaně velké odchylky jednotlivě naměřených hodnot (odlišné hodnoty) oproti rozptylu ostatních hodnot,
- signifikantní změny polohy během obou vzorků a
- signifikantní změnu od očekávaného distribučního modelu.
V opakovaném případě je nutno počítat s dodatečnými systémovými vlivy na výrobu. Pro toto chování by pak měly být známy příčiny a měly by být akceptovatelné jejich účinky, aby byl splněn předpoklad bezpečného výrobního procesu.
Pro provádění výše uvedených kritérií je proto nutno jít prozkoumávat schopnost stroje použít podklady statistické teorie. Protože tyto testy jsou podrobně popsány v normách nebo doporučeních druhů statistické literatury, jsou zde uvedeny pouze pomoci odkazů:
V rámci prověřování schopnosti stroje je nutno provádět následující testy:
1. **Testy odchylek hodnot pomocí testů nezávislých na rozdělení podle Hampela modifikované formě (viz VW 10133)**
- **Testy změny polohy** výroby pomocí neparametrického testu podle Swed-Eisenharda (viz [1])
- **Test odchylek od normálního rozdělení** podle Epps-Pullev (viz ISO 5479)
- **Test odchylek od libovolně stanoveného distribučního modelu** pomocí testu chi kvadrát (viz [1])
Statistické testy podle následujícího schématu:
- formulace nulové hypotezy \( H_0 \) a alternativní hypotezy \( H_a \), např.
- H1: základní soubor naměřených hodnot sledovaného znaku má normální rozdělení
- H1: základní soubor naměřených hodnot sledovaného znaku nemá normální rozdělení
- Stanovení pravděpodobnosti vyjádření \( 1 - \alpha \) nebo hladiny významnosti α
- Formulace vzorce pro zkušební veličinu
- Výpočet zkušební hodnoty \( h \) podle namátkových vzorků podle vzorce pro zkušební veličinu
- Zjištění prahové hodnoty testovacích rozdělení
## Porovnání
Je nutno dbát na to, že u statistického testu s uvedenou vycházející pravděpodobností je přípustné prokázat pouze rozptyl nulovou hypotézou, např. že existuje signifikantní odchylka naměřených hodnot od normálně rozděleného základního souboru. Pokud z výsledků testu vyplývá rozpor s nulovou hypotézou, pak to není potvrzením platnosti nulové hypotézy. Proto v případě nelze s uvedeným spolehlivostí např. prokázat, že existuje zakladní soubor s normálním rozdělením. Pak se vytvořte analogicky k právnímu principu, v případě spojení normálně rozděleného souboru jako pro předpoklad nulové hypotézy.
Hladina významnosti se uvažuje jako riziko, že se na základě testu zamítne nulová hypotéza, ačkoli je správná (α-riziko). Pro hladinu významnosti vždy lze jen jednoduše stanovit libovolné menší hodnoty, proto že tím pak roste riziko neobjevení skutečně odchylek od normálního rozdělení (β riziko).
Image Analysis:
### Text Analysis:
#### Detected Text:
1. **Header Information:**
- "Strana 20"
- "VW 101 30: 2005-02"
2. **Section Title:**
- "3.4 Statistické testy" (Statistical tests)
3. **Content:**
- The main text discusses statistical tests used to validate the quality and reliability of machinery during production. The text details methods to check significant deviations in measured values and significant changes in anticipated distribution models.
- Emphasis is placed on the need to avoid systematic influences during checks to ensure the impact is valid and meets safety standards.
#### Subtopics and Bullet Points:
- **Primary Methods:**
- Tests for significant deviations using non-parametric Ronald Hampel's test.
- Tests for change points using the Swed-Eisenhart method.
- Tests for normal distribution deviation using Epps-Pulley method.
- Test using chi-squared for any arbitrary distribution model.
- **General Schema for Statistical Tests:**
- Formulation of null hypothesis (H0) and alternative hypothesis (Ha).
- Calculation based on measured values assuming normal distribution.
- Presentation of probability significance from 1 - α.
- Formulation of test statistic formulas.
- Calculation of threshold values for test statistics.
- Determining threshold values for test distributions.
- Comparing test indicators with threshold values to make decisions regarding null hypotheses.
- **Significance and Decision Making:**
- Determining when there is a significant deviation or a match with an alternative hypothesis.
- Distinguishing true and false deviations by considering significant results against accepted norms.
#### Contextual Significance:
- This text is likely part of a technical or scientific document, particularly dealing with quality control in manufacturing, and highlights various statistical methods to ensure the reliability of production machinery. The thorough explanation of the tests and decision-making process indicates a focus on precision and compliance with certain standards.
### Metadata Analysis:
- **Page Number:**
- 20 (This suggests that the document is part of a larger series, likely a standard or guideline manual.)
- **Document Code:**
- VW 101 30: 2005-02 (This could denote a standard document/specification used by Volkswagen or pertaining to a specific technical standard.)
### Prozessbeschreibungen (Process Descriptions):
- **Processes:**
- The processes described involve systematic testing for deviations in machinery performance during production. These tests need to objectively and accurately indicate whether the deviations are within acceptable bounds to ensure safe and reliable manufacturing outputs.
### Trend and Interpretation:
- **Significance:**
- The emphasis on statistical validity and the detailed method descriptions suggest that maintaining high-quality standards in manufacturing is crucial. The use of various statistical tests ensures a comprehensive approach towards validating machinery performance, highlighting a commitment to quality and safety.
This analysis considers the various components of the document and offers insights into its purpose and significance within a manufacturing and quality assurance context.
####################
File: VW%2010130_CS.pdf
Page: 21
Context: # 4 Provádění prověřování způsobilosti stroje
Provádění prověřování způsobilosti stroje (MFU) je nutno provádět podle procesu znázorněného na obrázcích 9 až 11.
## 4.1 Použití zkušebních prostředků
## 4.2 Odběr namátkových vzorků
### Podmínky pro MFU splněny
- **ano**:
- 4.4 Vyhodnocování dat
- 4.5 Dokumentace
- 4.6 Posouzení výsledků
- **ano**: Opačování vyhodnocení
- **ne**: Stroj způsobilý
- **ano**:
- 4.8 Nakládání s nezpůsobilými stroji
- **ne**: Proveditelná optimalizace stroje
- **ne**: 4.3 Zvláštní pravidla pro omezenou MFU
## 4.7 Optimalizace stroje
Konec
Image Analysis:
### Comprehensive Examination of the Visual Content
#### Localization and Attribution
- **Image Number**: Image 1
- This is the only image on the page.
#### Object Detection and Classification
- **Objects Detected**:
- Rectangular boxes with text (flowchart components)
- Various arrows connecting the boxes (indicating flow direction)
#### Scene and Activity Analysis
- **Scene Description**:
- The image depicts a flowchart related to the machine suitability test process ("Provádění prověřování způsobilosti stroje").
- **Activities Taking Place**:
- The flowchart outlines a step-by-step process starting from initialization (Start) to various decision points and actions until the completion (Konec) of the machine suitability test.
#### Text Analysis
- **Text Extracted**:
- "Strana 21"
- "VW 101 30: 2005-02"
- "4 Provádění prověřování způsobilosti stroje"
- "Provádění prověřování způsobilosti stroje (MFU) je nutno provádět podle procesu znázorněného na obrázcích 9 až 11."
- "Obrázek 9 - Průběh prověrky způsobilosti stroje"
- Start
- 4.1 Použití zkušebních prostředků
- 4.2 Odběr namátkových vzorků
- Podmínky pro MFU splněny
- ano
- ne
- 4.3 Zvláštní pravidla pro omezenou MFU
- 4.4 Vyhodnocování dat
- 4.5 Dokumentace
- 4.6 Posouzení výsledků
- Opakování vyhodnocení
- ano
- ne
- Stroj způsobilý
- ano
- ne
- 4.7 Optimalizace stroje
- ano
- Proveditelná optimalizace stroje
- ne
- 4.8 Nakládání s nezpůsobilými stroji
- ne
- Konec
- **Text Significance**:
- The text describes a documented process in Czech for conducting machine suitability tests (MFU - Machine Fitness Unit). It specifies steps and decision points for evaluating whether a machine is fit for use and any corrective actions required.
#### Diagram and Chart Analysis
- **Diagram Type**:
- Flowchart
- **Key Insights**:
- The chart begins with "Start" and goes through steps such as using testing equipment, sampling random samples, evaluating conditions, data evaluation, documentation, and result assessment.
- Conditional branches determine if certain criteria (e.g., suitability conditions, optimization feasibility) are met, directing the flow to different paths and actions (e.g., repeating assessments, handling unsuitable machines).
#### Process Descriptions (Prozessbeschreibungen)
- **Process Flow**:
- The process flow involves several stages:
1. **Using testing tools (4.1)**
2. **Sampling random samples (4.2)**
- If conditions are met (yes/no decision)
3. **Special rules for limited MFU if conditions are not met (4.3)**
4. **Data evaluation (4.4)**
5. **Documentation (4.5)**
6. **Result assessment (4.6)**
- If the assessment needs to be repeated (yes/no decision)
- If the machine is suitable (yes/no decision)
7. **Machine optimization if it is not suitable (4.7)**
- Feasibility of optimization (yes/no decision)
8. **Disposition of unsuitable machines if optimization is not feasible (4.8)**
9. **End of process ("Konec")**
#### Color Analysis
- **Color Composition**:
- The flowchart is in black and white, which ensures clear readability and highlights the process and decision points efficiently without the distraction of colors.
#### Perspective and Composition
- **Perspective**:
- The flowchart is presented from a straightforward, top-down perspective suitable for procedural diagrams.
- **Composition**:
- The flowchart has a logical and orderly layout, with steps arranged sequentially and decision points branching appropriately, making it easy to follow.
#### Contextual Significance
- **Contribution to Overall Message**:
- The diagram plays a crucial role in conveying a standardized procedure for assessing machine suitability within a broader context, likely a quality control or process management document.
#### Trend and Interpretation
- **Trend and Insights**:
- The process demonstrates a rigorous quality assurance trend, emphasizing systematic evaluations, documentation, and decision-making criteria to ensure only suitable machines are in operation.
#### Tables
- Not applicable in this image.
### Conclusion
The visual content provided is a detailed flowchart outlining the process of machine suitability testing (MFU) in Czech language. It offers a step-by-step, decision-driven framework ensuring meticulous assessments, documentation, and necessary actions to maintain machine efficacy and adherence to standards. The orderly and straightforward depiction ensures clarity and ease of implementation in practical scenarios.
####################
File: VW%2010130_CS.pdf
Page: 22
Context: # 4.4 Vyhodnocování dat
## 4.4.1 Výběr očekávaného distribučního modelu
## 4.4.2 Test na odlišné hodnoty
Existují odlišné hodnoty?
- **ano** → 4.4.3 Vyjmout odlišné hodnoty z výpočtu statistických ukazatelů
- **ne** →
## 4.4.4 Test změny polohy výrobky
## 4.4.5 Test odchylek od stanoveného distribučního modelu
Odchylka od distribučního modelu?
- **ano** → 4.4.8 Neparametrické vyhodnocení
- **ne** →
- Normální rozdělení?
- **ano** → 4.4.6 Vyhodnocení podle normálního rozdělení
- **ne** → 4.4.7 Vyhodnocení podle stanoveného modelu
Pokračování v bodě 4
**Obrázek 10 – Průběh vyhodnocování dat**
Image Analysis:
### Comprehensive Examination of the Attached Visual Content
**Image Identification:**
- **Image Number:** 1
- **Description:** A process flowchart related to data evaluation as indicated by the text “Průběh vyhodnocování dat.”
### Analysis:
#### 1. **Localization and Attribution:**
- **Position:** Only one image is present in the document.
- **Designation:** Image 1
#### 2. **Object Detection and Classification:**
- **Objects Identified:**
- Multiple geometric shapes including ovals and rectangles.
- Connecting arrows.
- Text inside the shapes.
- **Classification:**
- **Ovals**: Indicate the start and continuation points of the process.
- **Rectangles**: Represent various steps or actions.
- **Diamonds**: Indicate decision points in the process.
#### 4. **Text Analysis:**
- **Extracted Text:**
- "4.4 Vyhodnocování dat"
- "4.4.1 Výběr očekávaného distribučního modelu"
- "4.4.2 Test na odlehlé hodnoty"
- "Existují odlehlé hodnoty"
- "4.4.3 Vyjmout odlehlé hodnoty z výpočtu statistických ukazatelů"
- "4.4.4 Test změny polohy výrobě"
- "4.4.5 Test odchylky od stanoveného distribučního modelu"
- "Odchylka od distribučního modelu"
- "Normální rozdělení"
- "4.4.7 Vyhodnocení podle stanoveného modelu"
- "4.4.8 Neparametrické vyhodnocení"
- "4.4.6 Vyhodnocení podle normálního rozdělení"
- "Pokračování v bodě 4"
- "Strana 22"
- "VW 101 30: 2005-02"
- "Obrázek 10 – Průběh vyhodnocování dat"
- **Contextual Significance:** The text provides a structured overview of data evaluation procedures, likely from a procedural or technical guide.
#### 5. **Diagram and Chart Analysis:**
- **Description:**
- **Title:** "Průběh vyhodnocování dat"
- **Structure:** The diagram is a flowchart outlining a decision-making process for evaluating data.
- **Flow:** Begins with “4.4 Vyhodnocování dat” and follows through various decision points with conditional operations.
- **Key Components:**
- **Start:** "4.4 Vyhodnocování dat"
- **Steps:** Sequential steps are numbered from 4.4.1 to 4.4.8.
- **Decisions:** Conditional branches are based on whether outliers exist, deviations from the model, and normalization of distribution.
- **End:** Concludes with "Pokračování v bodě 4".
- **Key Insights:**
- The chart systematically handles data evaluation, starting with model selection, testing for outliers, and evaluating deviations from the expected model.
- It also incorporates decision points for non-parametric evaluation and consideration of normal distribution.
### Additional Analysis:
#### **Ablaufprozesse (Process Flows):**
- **Description:** The flowchart depicts a detailed process flow for evaluating data. It highlights the decision points and clearly distinguishes the steps to be taken based on the evaluation results.
#### **Prozessbeschreibungen (Process Descriptions):**
- **Detail:** Each step is described, ensuring a thorough understanding of the stages involved in data evaluation. It starts with model selection and progresses through testing stages, decision-making regarding outliers and model deviations, and appropriate evaluation methods based on the statistical analysis.
#### **Typen Bezeichnung (Type Designations):**
- **Identification:** The types or categories are designated by the step numbers (e.g., 4.4.1 for model selection, 4.4.2 for testing outliers).
### Summary:
This flowchart, designated as "Obrázek 10 – Průběh vyhodnocování dat" on "Strana 22", outlines a comprehensive data evaluation process, demonstrating the stages and decision points essential for statistical data analysis. Structured with clear conditional operations and procedural steps, it’s an effective tool for ensuring systematic and consistent data evaluation in line with technical guidelines.
####################
File: VW%2010130_CS.pdf
Page: 23
Context: # 4.6 Posouzení výsledků
1. **Existují odlišné hodnoty?**
- **ano**: Pokračovat k bodu 2.
- **ne**: Konec.
2. **Změna polohy výrobky?**
- **ano**: Pokračovat k bodu 3.
- **ne**: Konec.
3. **Odchylka od distribučního modelu?**
- **ano**: Pokračovat k bodu 4.
- **ne**: Možný jiný distribuční model.
- **ano**: Opakování vyhodnocení pokračování v bodě 4.
- **ano**: Známá příčina a akceptovatelný vliv.
- **ano**: Stroj způsobilý. Pokračování v bodě 4.
- **ne**: Stroj nezpůsobilý. Pokračování v bodě 4.
- **ne**: Konec.
4. **Charakteristiky způsobilosti menší než mezní hodnoty?**
- **ano**: Stroj způsobilý. Pokračování v bodě 4.
- **ne**: Stroj nezpůsobilý. Pokračování v bodě 4.
Image Analysis:
**Analysis of Image 1: Flowchart**
1. **Localization and Attribution:**
- This is a single image located centrally on the page.
- Labeled as Image 1.
2. **Object Detection and Classification:**
- Objects: Contains various geometric shapes including ovals, diamonds, rectangles, and connectors (arrows).
- Categories: Flowchart diagram elements.
3. **Text Analysis:**
- Detected text:
- "4.6 Posouzeni vysledku"
- "Existují odlehlé hodnoty"
- "Odlehlé hodnoty v důsledku chybných měření"
- "Změna polohy výroby"
- "Odchylka od distribučního modelu"
- "Možný jiný distribuční model"
- "Opakování vyhodnocení, pokračování v bodě 4"
- "Známá příčina a akceptovatelný vliv"
- "Charakteristiky způsobilosti menší než mezní hodnoty"
- "Stroj způsobilý, Pokračování v bodě 4"
- "Stroj nezpůsobilý, Pokračování v bodě 4"
- "Obrázek 11 – Průběh posouzení výsledku"
- Analysis of text:
- Title "4.6 Posouzeni vysledku" translates to "4.6 Outcome Assessment".
- Diagram evaluates different steps in outcome assessment with decision paths indicated by "ano" (yes) and "ne" (no).
- The text in diagrams describes steps and conditions for deciding on manufacturing and distribution impact, including potential errors and known causes.
- The final outcomes are either "Stroj způsobilý" (Machine suitable) or "Stroj nezpůsobilý" (Machine unsuitable).
4. **Diagram and Chart Analysis:**
- Diagram Type: Flowchart showing decision points and flow of actions.
- The flowchart begins with the assessment of the results "4.6 Posouzeni vysledku".
- It queries whether there are outlier values which, if due to erroneous measurements, suggests re-evaluation.
- If not erroneous, it examines changes in production positions, deviations from the distribution model, possible use of other distribution models, and known acceptable influences.
- At various decision points, the chart concludes whether the machine continues to be suitable or unsuitable, directing to procedure in "bodě 4" when necessary.
5. **Ablaufprozesse (Process Flows):**
- The flowchart clearly details the process of outcome assessment with conditional steps resulting in suitability evaluation of machines.
- It captures a methodical approach to decision-making, considering multiple variables and contingencies in manufacturing processes.
6. **Prozessbeschreibungen (Process Descriptions):**
- Describes assessment steps starting from checking outliers, evaluating model deviations, potential errors, and known influences.
- Each step involves clear conditional checks leading to a final verdict on machine suitability.
####################
File: VW%2010130_CS.pdf
Page: 24
Context: # 4.1 Použití zkušebních prostředků
Pro MFU je nutno používat pouze zkušební prostředky, které byl pro plánovaný zkušební proces schválen příslušným místem.
## 4.2 Odběr namátkových vzorků
MFU se vztahuje pouze na výrobní charakteristiky nebo parametr vzorku. Zpravidla je nutno pro vyhodnocení zjistit jednotlivé naměřené hodnoty vzorků. V případě ručně zaznamenávaných naměřených hodnot ve formě čárek v rozdělení tříd oblastí hodnocení (statistickou četností) je nutno také evidovat rozdělení četností daných naměřených hodnot9.
Aby bylo možno pi MFU poskytnout pouze v této stroj, je nutno při výrobě vzorků dodržet následující podmínky:
- Při provádění musí být zajištěna jednotná **šarže polotovaru** a jednotná příprava (dodavatel, materiál). Během MFU musí stroj nebo zařízení obsluhovat vždy stejný pracovník.
- **Kvalita přípravy** hodnocených značek musí odpovídat požadovaným výrobním předpisům.
- Počet vybraných dílů (rozsah namátkových vzorků) by měl zpravidla činit 50 ks. Pokud je tento rozsah namátkových vzorků z technických nebo ekonomických důvodů obtížně realizovatelný, je přípustný i menší. Pak je nutno dodržet odpovídajícím způsobem vyšší měrný rozsah (hodnoty podle tabulky 3 nebo var. (3.7) a (3.8). Efektivní rozsah namátkových vzorků (např. bez odlehlých hodnot) musí činit minimálně 20.
- Dílů je nutno vyrábět bezprostředně po sobě a číslo podávat výrobě. Na každém dílu je nutno provést všechny stanovené záznamy.
- MFU se smí provádět pouze u stroje zahřátého na provozní teplotu. Pojem "zahřátí na provozní teplotu" je nutno definovat pro každý případ použití zvlášť.
- Je nutno zajistit, aby se nenačítala MFU záznamy pro sériových podmínek požadovaných pro daný stroj (tzn. z období tahu a parametry nastavené přímo pro sériovou výrobu). V závislosti na projektu je nutno stanovit pravidla, aby bylo na začátku MFU zaručeno, že je např. **zaparované žádánce**, a že konec doby životnosti nebyl nařízen v rámci MFU.
- Během MFU se nesmí provádět **výměna zařízení**, různí seřizovací zařízení nebo jiné změny parametrů strojů. Vyměníte-li automatické korektury návrdu pomocí integrovaného nebo trvalého kontrolního měření.
- Při poruchách vzniklých Během MFU, které ovlivňují prověřovací znak, je nutno zahájit MFU znovu.
- Před výrobní zkouškou musí být zahájení prověřovací metody oznámeno a doslohnmých metod navíc uvedená a odložená.
- Při výrobě rozměrových dílů (rozdílná čísla dílů, např. cejlové hřídele / litinové hřídele) na žádném MFU, které mohou vykazovat různé charakteristiky, je nutno MFU prověřit způsobem veškeré důkazy.
Image Analysis:
### Text Analysis:
1. **Localization and Attribution:**
- **Image Location and Positioning**: The image is a single page from what appears to be a document or a manual. It contains a structured text layout with numbered sections and bullet points.
2. **Text Content and Analysis**:
- The page is in Czech and addresses protocols and processes for using test resources and taking samples in a manufacturing context.
- **4.1 Use of Test Resources**: States that test resources should only be used for the intended approval process with the designated authority.
- **4.2 Sampling**: Details about sampling processes are provided:
- **Production Sample Characteristics**: Emphasizes the need to measure parameters of production samples properly.
- **Uniform Batch Preparation**: Highlights the need for uniform batch preparation and proper handling by designated personnel.
- **Preparation Quality**: Draws attention to the requirement that preparation quality characteristics should meet production standards.
- **Sample Quantity**: Mentions the typical quantity of samples (usually 50 pieces), and exceptions for technical or economic reasons, permitting smaller quantities as long as they meet certain criteria.
- **Direct Production and Marking**: Stipulates the direct preparation and marking of samples.
- **Operational Testing**: Notes the importance of testing samples at operational temperature.
- **Production Conditions**: Details that samples should be produced under specific conditions analogous to serial manufacturing.
- **Tools and Equipment**: Mentions the restricted change of tools and parts, calling out exceptions such as integrated monitoring systems.
- **Testing and Methodology**: Elaborates on the test methods and their required approval before commencing testing.
- **Unique Characteristics**: Speaks to the need for diverse procedures for different characteristics of parts (e.g., different diameters or materials).
3. **Process Descriptions**:
- The document provides a detailed description of protocols related to the manufacturing sampling process, stating explicit steps and conditions necessary for testing and sample preparation.
4. **Typen Bezeichnung (Type Designations)**:
- The text makes specific mentions of different types of components and processes e.g., 'bare, semi-finished, or finished batch', indicating the varying types of samples and their preparatory needs.
5. **Prozessbeschreibungen (Process Descriptions)**:
- Describes the process steps for ensuring quality in test samples:
- Ensuring uniform sample batches.
- Regularly measuring and assessing samples.
- Handling and operational protocols for sample testing.
- Adjustments for component variability.
### Conclusion:
This document page from a manual outlines explicit manufacturing protocols for testing and sample preparation, emphasizing standardization, quality checks, and procedural adherence. It is meant to guide operators and quality assurance teams in maintaining adherence to manufacturing standards and ensuring reliable sample quality for testing purposes.
####################
File: VW%2010130_CS.pdf
Page: 25
Context: # 4.3 Zvláštní pravidla pro omezené MFU
Pokud nelze pro odběr vzorku zcela splnit podmínky uvedené v bodě 4.2, pak ze o odváděných případech pro omezení MFU, pro které je nutno mezi dodavatelem a odběratelem sjednat zvláštní pravidla a zadokumentovat je pod poznámkou „Omezení MFU“.
# 4.4 Vyhodnocení dat
## 4.4.1 Výběr očekávaného distribučního modelu
Očekávaný distribuční model závisí na druhu charakteristiky. Pro důležité druhy charakteristik (viz také VW 01056) jsou přiřazeny distribuční modely uvedeny v tabulce 2.
## Tabulka 2 – Přiřazení druhů charakteristik a distribuční modely
| Druh charakteristiky | Distribuční model |
|---------------------------|-------------------|
| Délkové rozměry | N |
| Průměr, radius | N |
| Plošnost | B1 |
| Rovnoust | B1 |
| Křivkovost | B1 |
| Václový tvar | B1 |
| Linijový tvar | B1 |
| Plošný tvar | B1 |
| Rovnběžnost | B1 |
| Kolmost | B1 |
| Sklon | B2 |
| Pozice | B2 |
| Sousous | B2 |
| Symetrie | B1 |
| Házivost | B2 |
| Pohyb v rovině | B2 |
| Drsnost | B1 |
| Neváženost | B2 |
| Krouticí moment | N |
**Legenda:**
N: Normální rozdělení
B1: Weibullovo rozdělení
B2: Rayleighovo rozdělení
Pro neuvedené druhy charakteristik lze ve většině případů provést přiřazení rozdělení podle následujících pravidel:
- u oboustranně nebo jednostranně dolů tolerovaných charakteristik normální rozdělení
- a u jednostranně nahoru tolerovaných charakteristik Weibullovo rozdělení nebo Rayleighovo rozdělení
Image Analysis:
### Image Analysis
#### 1. Localization and Attribution:
- **Image Location**: The image encompasses the entire page.
- **Image Numbering**: This is the only image on the page, thus referred to as Image 1.
#### 4. Text Analysis:
- **Text Detection and Extraction**:
- **Header**: "Strana 25", "VW 101 30: 2005-02"
- **Sections**:
- **4.3 Zvláštní pravidla pro omezené MFU**
- **4.4 Vyhodnocení dat**
- **4.4.1 Výběr očekávaného distribučního modelu**
- **Tabulka 2 – Přiřazení druhů charakteristik a distribučních modelů**
- **Content Analysis**:
- The text is in Czech and appears to be from a technical or regulatory document related to data evaluation and distribution models.
- **Key Sections**:
- **4.3 Zvláštní pravidla pro omezené MFU**: Discusses special rules for limited MFU.
- **4.4 Vyhodnocení dat**: Pertains to data evaluation.
- **Tabulka 2**: A table that maps different types of characteristics to specific distribution models.
- **Table Explanation**:
- **Columns**:
- **"Druh charakteristiky"**: Type of characteristic.
- **"Distribuční model"**: Distribution model.
- **Legend**:
- "N": Normální rozdělení (Normal distribution)
- "B1": Weibullovo rozdělení (Weibull distribution)
- "B2": Rayleighovo rozdělení (Rayleigh distribution)
- Other descriptions involve double-sided or one-sided tolerance distribution rules.
#### 5. Diagram and Chart Analysis:
- **Tabulka 2**:
- **Rows/Columns**: Lists various characteristics (e.g., "Délkové rozměry", "Průměr, rádius", etc.) and their corresponding distribution models.
- **Legend**:
- **N**: Normální rozdělení
- **B1**: Weibullovo rozdělení
- **B2**: Rayleighovo rozdělení
#### 12. Graph and Trend Analysis:
- **Interpretation of the Table**:
- Various characteristics are linked to different distribution models, providing a structured methodology for data evaluation based on the type of characteristic.
- Some characteristics are commonly associated with normal distribution ("N"), while others are linked to Weibull ("B1") or Rayleigh ("B2") distributions.
- The table helps in standardizing how data is to be distributed based on the specific characteristic, ensuring consistent and accurate evaluations.
#### 19. Tables:
- **Table Content**:
- **Column 1** (Druh charakteristiky - Type of characteristic): Lists various types of dimensional and physical characteristics (e.g., dimensions, radius, flatness, roundness).
- **Column 2** (Distribuční model - Distribution model): Indicates which distribution model fits each characteristic type (N, B1, B2).
#### 9. Perspective and Composition:
- **Perspective**: The image is a straightforward, top-down view of a text-heavy page.
- **Composition**:
- Structured in sections, with headings and subheadings clearly delineated.
- The table (Tabulka 2) is centered and easily identifiable.
- Text is evenly spaced and aligned for readability.
#### 19. Process Descriptions:
- **Process Description**:
- The image outlines a structured process for determining the appropriate distribution model based on the characteristic type.
- Provides guidelines for special cases not included in the table.
### Conclusion:
This comprehensive analysis of the visual content reveals a technical document page with structured sections, detailed tables, and clear guidance on choosing distribution models based on specific characteristics. The text, tables, and accompanying explanations provide a robust framework for ensuring consistent data evaluation in a presumably engineering or quality control context.
####################
File: VW%2010130_CS.pdf
Page: 26
Context: ```
## 4.4.2 Test odlehlých hodnot
Pomocí neparametrického testu odlehlých hodnot podle VW 1013/3 je nejprve nutno zjistit, zda zjištěné naměřené hodnoty obsahují odlehlé hodnoty. Odlehlé hodnoty jsou naměřené hodnoty, které leží do jisté vzdálenosti od jinde naměřených hodnot tak daleko, že s vysokou pravděpodobností nepatří k této populaci. Tato měření, test na odlehlé hodnoty je nutno provést s koeficientem spolehlivosti 95%.
## 4.4.3 Výjimečné odlehlé hodnoty z výpočtu statistických ukazatelů
V případě identifikovaných odlehlých hodnot nejsou tyto hodnoty zohledněny při výpočtu statistických ukazatelů. Odlehlé hodnoty však nesmí být smazány. Naopak je nutno je vygenerovat v zobrazené podobě jednotlivých hodnot odpovídajícími způsoby označit a uvést je do příslušné dokumentace.
## 4.4.4 Test změny polohy výroby
S pomocí parametrického testu podle Swed-Eisenharta (viz [1]) je nutno zjistit, zda se při výběru vzorku systematicky změnila poloha výroby. Systematická změna polohy výrobků může vzniknout např. vlivem teploty opotřebení materiálu (trendový průběh). Tento test je nutno provést s koeficientem spolehlivosti 95%.
Pokud použité pro výpočtové zjištěné rozdílení určitých zatížených naměřených hodnot, nelez tento test použít.
## 4.4.5 Test odchylek od stanoveného distribučního modelu
Je nutno prověřit zjištěné naměřené hodnoty, zda nevykazují signifikantní odchylku od distribučního modelu, který byl pro příslušný znak stanoven. K tomu je nutno v případě zjištěného normálního rozdělení provést test podle Epps-Pulley (viz 150 5479) a v případě jiné statické distribuční model, např. v Weibullově rozdělení nebo Rayleighova rozdělení, test podle Nývarta (viz [1]) s koeficientem spolehlivosti 95%. Odchylka od zjištěného distribučního modelu může vzniknout např. rozdělením šarží materiálu při odběru vzorku (smíšené rozdělení, viz příklad 3 v oddílu 5).
Odchylka od zjištěného distribučního modelu může vzniknout např. odběrem vzorku z různě nadřazené distribuční, viz příklad 3 v oddílu 5.
## 4.4.6 Vyhodnocení podmínek normálního rozdělení
V případě stanoveného aproximováním normálního rozdělení nebo aproximováním normálního rozdělení podle kritérií (1.1), (1.22), ve kterém naměřené hodnoty nevykazují signifikantní odchylku od distribučního modelu, se provede výpočet charakteristických vlastností v závislosti na toleranci podílu vzorců (2.1) až (2.5), přičemž se hraniční intervaly spolehlivosti zjistí podle pozice (2.6).
## 4.4.7 Vyhodnocení polohy stanoveného modelu
V případě jaké stanoveného distribučního modelu, např. Weibullova rozdělení nebo Rayleighova rozdělení, je nutno prověřit naměřené hodnoty, zda nevykazují signifikantní odchylku od distribučního modelu, se provede výpočet charakteristických vlastností podílu vzorců (2.1) až (2.5), přičemž se charakteristiky přizpůsobeného rozdělení vypočtou podle vzorců (2.15) a (2.16) popř. (2.24) a (2.25) pomocí aproximovaných funkcí (2.18) popř. (2.27) a hraniční intervaly spolehlivosti se vypočte podle aproximovaných funkcí (2.19) popř. (2.28).
```
Image Analysis:
### Text Analysis:
- **Image Localization and Numbering:**
- This image will be denoted as **Image 1** since there is only one image provided.
- **Extracted Text and Content Analysis:**
- The text in the image is in Czech and appears to be sections from a technical document, specifically related to tests and processes influenced by certain standards and procedures.
- The sections are as follows:
- **4.4.2 Test odlehlých hodnot (Test of Outlying Values):**
- Discusses the testing of outlier values according to VW 10133 with a confidence interval of 99%.
- **4.4.3 Vyloučení odlehlých hodnot z výpočtu statistických ukazatelů (Exclusion of Outliers from Statistical Calculation):**
- Procedures for excluding outliers in the calculation of statistical indicators.
- **4.4.4 Test změny polohy výroby (Test of Production Position Change):**
- Tests based on the Swed-Eisenhart method to determine if systematic shifts in production samples are systematic.
- **4.4.5 Test odchylky od stanoveného distribučního modelu (Deviation Test from Established Distribution Model):**
- Discusses tests like Epps-Pulley, Weibull, and Rayleigh models, with a 95% confidence interval.
- **4.4.6 Vyhodnocení podle normálního rozdělení (Evaluation According to Normal Distribution):**
- Outlines the criteria for evaluating against normal distribution and calculated fitting characteristics.
- **4.4.7 Vyhodnocení podle stanoveného modelu (Evaluation According to Established Model):**
- Similar to the above but uses different distribution models and calculation methods.
### Contextual Significance:
- **Context and Role in Document:**
- This image appears to be a page from a technical document related to quality control or standards compliance in manufacturing, probably for the automotive industry as indicated by "VW 10133".
- The page is an excerpt from a larger document concerned with statistical testing, evaluation of production shifts, and assessment models.
- The image contributes towards understanding the specific methodologies and statistical models used in evaluating manufacturing and production processes.
### Color Analysis:
- **Color Composition:**
- The image is mostly black text on a white background, a common format for printed documents.
- The lack of color variation indicates a formal document focusing on the delivery of information rather than visual appeal.
### Perspective and Composition:
- **Composition:**
- The image is in a standard page format with a clear heading structure, numbered sections, and paragraphs.
- This structured approach aids in easy navigation and understanding of the subjected tests and procedures.
### Summary:
####################
File: VW%2010130_CS.pdf
Page: 26
Context: ### Summary:
- **Overall Analysis:**
- **Image 1** is a section from a technical manual or standard document related to statistical testing and evaluation methods in production processes.
- The document includes detailed descriptions of various tests and their purposes, highlighting procedures, models, confidence intervals, and criteria.
- There is no visual data or graph present in the image, and the text is well-structured for a technical audience.
This comprehensive analysis encompasses relevant aspects drawn from the provided list, with focus on text and contextual significance as they are the most prominent features in this image.
####################
File: VW%2010130_CS.pdf
Page: 27
Context: ```
4.4.8 Neparametrické vyhodnocení
Pokud ze statistického testu vyplyne rozpor mezi zjištěnými naměřenými hodnotami a zjištěnými distribučním modelem, nebo pokud se sledované výrobní charakteristiky nelze nalézt výchybném distribučním modelu, pak se provede neparametrický výpočet charakteristik způsobilosti podle vzorce (2.29) až (2.40).
4.5 Dokumentace
Dokumentace MFU z hlediska určité charakteristiky musí obsahovat následující informace a záznamy:
Data zahrnují:
- oddělení, autor a datum vytvoření
- údaje o dílu
- název, jmenovitý rozměr a tolerance charakteristiky
- údaje o stroji
- údaje o zkušebních prostředcích
- období výroby
Výsledky:
- grafické znázornění průběhu jednotlivých hodnot se středními hodnotami vzorku s hranicemi liniemi tolerančního intervalu (pokud byly evidovány jednotlivé hodnoty)
- histogram s přizpůsobeným distribučním modelem, hranicemi liniemi tolerančního intervalu a oblastí rozptylu a linií střední hodnoty a mediánu
- zobrazení v pravděpodobnosti stisí s přizpůsobeným distribučním modelem, hranicemi liniemi tolerančního intervalu a oblastí rozptylu a linií střední hodnoty a mediánu (viz [2])
- počet naměřených hodnot
- počet vyhodnocených naměřených hodnot nebo nalezených odchylých hodnot
- odhadovaná hodnota polohy výroby
- odhadovaná hodnota hranic oblasti rozptylu nebo odhadovaná šíře rozptylu
- pozitivity distribuční model
- výsledek testu změny polohy výroby
- výsledek testu odchylek od stanoveného distribučního modelu
- vypočtené charakteristiky způsobilosti Cm a Cmk (se dvěma místy za desetinnou čárkou)
- požadované mezi hodnoty Cm a Cmk
Upozornění a poznámky:
- případné upozornění na omezenou MFU
- případné zvláštní dohody mezi dodavatelem a odběratelem
- případně zvláštní udalosti během odběru vzorku
```
Image Analysis:
### 1. Localization and Attribution:
- **Image Position:** Single image present on the page.
- **Image Number:** Image 1.
### 2. Object Detection and Classification:
- **Objects Detected:** Text elements in the image.
- **Key Features:**
- Blocks of textual elements distributed evenly.
- Headings for different sections.
- Bulleted lists and paragraphs.
### 4. Text Analysis:
- **Content of the Text:**
- Headings and Section Identifiers:
- "4.4.8 Neparametrické vyhodnocení"
- "4.5 Dokumentace"
- Bulleted Lists:
- Contains details about data portion under "Data záhlaví:".
- The results under "Výsledky:".
- Text Descriptions:
- Section 4.4.8 discusses the conditions under which non-parametric evaluation is necessary due to the observed discrepancies among measured values.
- Section 4.5 elaborates on the type of documentation required from MFU for certain characteristics.
- **Significance:**
- The text provides detailed guidelines and protocols for statistical evaluations and documentation within a technical or quality control context. This is crucial for ensuring compliance and standardization.
### 9. Perspective and Composition:
- **Perspective:** The document is scanned from a flat, birds-eye view, indicating it is likely a scanned page from a larger document.
- **Composition:**
- Structured formally with headings, subheadings, bulleted lists, and ordered paragraphs.
### 13. Graph Numbers:
- **Data Points:**
- The text does not include specific numeric data points but does refer to quantities and results that would typically be numerical, such as the number of sampled points, number of outliers, and median values.
### Prozessbeschreibungen (Process Descriptions):
- **Processes Detailed:**
- The documentation process for statistical evaluations of manufacturing processes.
- Steps for graphical representations, histogram adjustments, and the use of distribution models.
### Typen Bezeichnung (Type Designations):
- **Types/Categories:**
- Evaluations and documentation processes categorized by:
- Graphically represented values.
- Histograms and distribution model fits.
- Evaluated test results (deviation, positional accuracy, and distribution model adherence).
### Trend and Interpretation:
- **Trends:**
- Emphasis on non-parametric evaluation when discrepancies are found.
- Detailed documentation requirements indicating a trend towards meticulous record-keeping and strict adherence to quality standards.
### Flow and Interpretation:
- The structure of the document suggests a flow from identifying the need for non-parametric evaluation, through to detailed documentation requirements and specific results recording.
### Summary:
This document segment outlines specific statistical evaluation processes and documentation requirements, particularly focusing on quality control measures within manufacturing processes. The emphasis on non-parametric evaluation and detailed documentation suggests stringent adherence to quality standards and regulatory compliance.
####################
File: VW%2010130_CS.pdf
Page: 28
Context: 4.6 Posouzení výsledku
Na následující posouzení výsledku závisí, zda je možno vyhodnotit stroj z hlediska výroby sledovaných charakteristik jako způsobilý.
Pokud jsou během vyhodnocení zjištěny odchylky hodnoty, je nutno zjistit jejich příčinu. Odchylky hodnoty mohou být způsobeny pochybným měřením nebo též, byly jako jakékoli jiné doby jiné jiné než normální. V opačném případě není možné říci, jaké hodnoty, pak by mělo být více než 5 % nebo více z 2 hodnot týchž jako odchylky hodnoty, pak je nutno prověřit, zda nejsou chyby procesu prověřování. MFU je potom nutno případech zopakovat.
Pokud se poloha výroby významně změnila, pak musí být zpravdlila změna jejich příčina a musí být akceptovatelný účinek, aby byl splněn předpoklad pro způsobilost stroje (vyjímka platí pro poslední odstavec tohoto oddílu).
Pokud existuje neparametrické vyhodnocení na základě signifikantních odchylek od stanoveného modelu a pokud lze posuzované charakteristiky teoreticky přiradit příslušné distribuční model, pak musí být změna příčinu a musí být akceptovatelný účinek, aby byl splněn předpoklad pro způsobilost stroje (vyjímka viz poslední odstavec tohoto oddílu).
Pokud není dohodnuto jinak, musí být zjištěné hodnoty způsobilosti při efektivním rozsahu vzorku \( n_b \geq 50 \) (bez odchylek hodnot) splňovat požadavek
\[
c_{m}^{2} = 2.0 \, c_{m}^{2} < 1.67 \text{ pro oboustranné tolerovanou charakteristiku}
\]
\[
c_{m} = 1.67 \text{ pro jednostranné tolerovanou charakteristiku}
\]
aby bylo možno stroj posoudit jako způsobilý. Pritom je nutno pro srovnání s mezími hodnotami zakotvit zjištěné charakteristiky způsobilosti na dvě desetinná místa, také např. zjištěná hodnota \( c_{k1} = 1.6545 \) pro příslušné zakotvení na 1.67 ještě splňuje požadavek.
Pokud efektivním rozsahu vzorku \( 20 \leq n \leq 50 \) je nutno dodržet příslušné výšky hodnoty. Pro některé rozsahy hodnot jako je tabulka 2 uvedeny příslušné mezní hodnoty. Při sjednaní jiné mezní hodnoty na bázi \( n_b \leq 50 \) je nutno příslušné mezní hodnoty zjistit podle vzorců \((3.7) \text{ az } (3.9)\).
## Tabulka 3 – Mezi hodnoty pro způsobilost stroje pro \( 20 \leq n \leq 50 \)
| \( n \) | \( \overline{c_m} \) | \( c_m \) |
|---------|-----------------|---------|
| 20 | 2.28 | 1.93 |
| 25 | 2.19 | 1.85 |
| 30 | 2.13 | 1.79 |
| 35 | 2.05 | 1.74 |
| 40 | 1.94 | 1.67 |
| 50 | 1.80 | 1.67 |
Při vyplynutí hodnoty způsobilosti, která je níže než příslušná mezní hodnota, pak je nutno stroj posoudit jako nezpůsobilý.
Image Analysis:
### Analysis of the Attached Visual Content
#### Localization and Attribution
- **Image 1:** There is only one page containing multiple sections and a table located near the bottom of the page.
#### Text Analysis
- **Extracted Text:**
- Title: "4.6 Posouzení výsledku"
- Section headers, paragraphs, and explanations in the Czech language discussing the statistical evaluation of results.
- A footnote highlighted with a superscript '10'.
#### Diagram and Chart Analysis
- **Table Analysis (Tabulka 3 - Mezní hodnoty pro způsobilost stroje pro 20 ≤ n e ≤ 50):**
- The table presents "Mezní hodnoty pro způsobilost stroje" (Machine capability limit values) for specific sample sizes.
- **Columns:**
- **ne:** The sample series sizes (e.g., 20, 25, 30, 35, 40, 45, 50).
- **cmk:** Process capability index for a two-sided tolerance.
- **cmk:** Process capability index for a one-sided tolerance.
- The values in the table:
- For ne 20: cmk2 = 2.28, cmk1 = 1.93
- For ne 25: cmk2 = 2.19, cmk1 = 1.85
- For ne 30: cmk2 = 2.13, cmk1 = 1.79
- For ne 35: cmk2 = 2.06, cmk1 = 1.73
- For ne 40: cmk2 = 2.00, cmk1 = 1.67
- For ne 45: cmk2 = 2.00, cmk1 = 1.67
- For ne 50: cmk2 = 2.00, cmk1 = 1.67
#### Contextual Significance
- This text appears to be an excerpt from a technical or quality control document, potentially from a manufacturing process evaluation.
- The significance centers around evaluating machine capability, using statistical benchmarks to ensure quality and precision in production.
#### Typen Bezeichnung (Type Designations)
- **Types or Categories Mentioned:**
- odchyle (deviation)
- mezní hodnoty (threshold values)
- způsobilost stroje (machine capability)
#### Trend and Interpretation
- **Trend:**
- The table shows a decreasing trend in cmk values as the sample size increases from 20 to 35, after which it stabilizes at 2.00 for two-sided tolerance and 1.67 for one-sided tolerance.
- **Interpretation:**
- This trend indicates that smaller sample sizes require higher capability indices, possibly due to higher variability and uncertainty in measurements.
####################
File: VW%2010130_CS.pdf
Page: 28
Context: #### Tables
- **Table Content Description:**
- **ne:** Represents the sample sizes.
- **cmk2** and **cmk1:** Represent the capability indices for two-sided and one-sided tolerances, respectively.
- **Data Points:**
- The table provides specific value thresholds required for machine capability validation.
Overall, the document is focused on machine capability evaluation using statistical methods, emphasizing the importance of adherence to specified thresholds in manufacturing processes.
####################
File: VW%2010130_CS.pdf
Page: 29
Context: # Strana 29
VW 101 30: 2005-02
Při zjištěné hodnotě způsobilosti \( C_{mk} \) = 2,33 (odpovídá 14 a) a pro obustraně tolerované charakteristiky dodatečné při \( C_{mk} \) ≥ 2,67 (odpovídá 16 b) lze stroj z hlediska sledovaných charakteristik také nezávisle na signifikantní změně polohy nebo odchylech od stanoveného distribučního modelu posoudit jako způsobilý.
## 4.7 Optimalizace strojů
Pro případ, že by nebylo možno z hlediska prověřovaných charakteristik prokázat způsobilost stroje, jsou nutná opatření pro optimalizaci stroje. Za tímto účelem je nutno identifikovat příslušné vlivy (např. pomocí statistické metody zkoušek DOE) a odstranit je.
## 4.8 Nakládání a nezpůsobilými stroji
Pokud nelze způsobilost stroje dosáhnout ekonomickými účely při optimalizaci, může být nejprve pomocí statistického výpočtu tolerance podle VW 01057 prověřeno, zda je možné dosáhnout způsobilosti stroje prostřednictvím rozšířené tolerance. Pokud není ani tímto opatřením možné dosáhnout způsobilosti stroje, je nutno se rozhodnout, zda bude stroj převzat podle následujících pravidel, nebo nikoliv. Tato zvláštní pravidla by měla obsahovat následující body:
- zdůvodnění pro přejímku
- vyhodnocení rizika a nákladů
- případné omezené podmínky pro výrobu a dodatečné podmínky pro zkoušky
- uvedení zodpovědností
Image Analysis:
**Image Analysis Report:**
### Localization and Attribution:
- **Image Number:** 1 (Only one image is present on the page).
### Text Analysis:
- **Detected Text:**
```
Strana 29
VW 101 30: 2005-02
Při zjištěné hodnotě způsobilosti č_mk ≥ 2,33 (odpovídá 14 σ) a pro oboustranně tolerované charakteristiky dodatečné při č_mk ≥ 2,67 (odpovídá 16 σ) lze stroj z hlediska sledované charakteristiky také nezávisle na signifikantní změně polohy nebo odchylce od stanoveného distribučního modelu posoudit jako způsobilý.
4.7 Optimalizace stroje
Pro případ, že by nebylo možno z hlediska prověřované charakteristiky prokázat způsobilost stroje, jsou nutná opatření pro optimalizaci stroje. Za tímto účelem je nutno identifikovat příslušné vlivy (např. pomocí statistické metodiky zkoušek DOE) a odstranit je.
4.8 Nakládání s nezpůsobilými stroji
Pokud nelze způsobilost stroje dosáhnout ekonomicky účelnými optimalizacemi, pak by mělo být nejprve pomocí statistického výpočtu tolerance podle VW 01057 pověřeno, zda je možno pro dosažení způsobilosti stroje provést rozšíření tolerance. Pokud není ani tímto opatřením možno dosáhnout způsobilosti stroje, je nutno se rozhodnout, zda bude stroj převzat podle přesně specifikovaných zvláštních pravidel, nebo nikoliv. Tato zvláštní pravidla by měla obsahovat následující body:
- zdůvodnění pro přejímku
- vyhodnocení rizika a nákladů
- případné omezené podmínky pro výrobu a dodatečné podmínky pro zkoušky
- uvedení zodpovědnosti
```
- **Content Analysis:**
- **Section 4.7: Optimalizace stroje**
- This section discusses the necessary measures for optimizing machinery in case its capability cannot be proven with respect to examined characteristics. It emphasizes identifying and removing relevant influences using statistical testing methods (e.g., DOE tests).
- **Section 4.8: Nakládání s nezpůsobilými stroji**
- This section provides guidance on handling non-compliant machinery. It suggests first utilizing statistical tolerance calculations as per VW 01057 to determine the feasibility of extending tolerance to achieve capability. If this is not possible, it outlines the decision-making process for whether to accept the machine based on specific rules, which should include:
- Justification for acceptance
- Risk and cost assessment
- Potential restrictive conditions for production and additional testing conditions
- Accountability
### Contextual Significance:
- **Document Context:**
- The image likely represents a technical manual or guideline related to the optimization and management of machinery within a manufacturing or industrial setting. The text provides detailed procedures and considerations for ensuring machinery meets required specifications and how to handle situations when it does not.
- **Significance of the Text:**
- The text is critical for quality control and process optimization in manufacturing. It ensures that machinery operates within acceptable parameters and outlines clear steps for addressing deviations, emphasizing statistical validation and cost-effective measures.
Overall, the detailed text provides significant insight into the technical and procedural standards necessary for ensuring machinery operability and compliance in an industrial context.
####################
File: VW%2010130_CS.pdf
Page: 30
Context: # 5 Příklady
## Příklad 1
Průměr hřídele s jmenovitým průměrem 20 mm, minimálním rozměrem \( G_u = 19,7 \, \text{mm} \) a maximálním rozměrem \( G_s = 20,3 \, \text{mm} \).
Z = 50 naměřených hodnot vzorku nevyplynuly ve statistických testech žádné odchylkové hodnoty, žádné signifikantní změny polohy a žádné signifikantní odchylky od očekávaného normálního rozdělení. Byly zjištěny následující charakteristiky namátkových vzorků:
- \( \bar{x} = 20,05 \)
- \( a = s = 0,05 \)
Proto podle vzorce (2.11) z charakteristik vzorků vyplynuly následující odhadnuté hodnoty hranic rozptylu pro normální rozdělení základní soubor:
\[
x_{0.975} = \bar{x} + a = (20,05 - 3 \cdot 0,05) \, \text{mm} = 19,9 \, \text{mm}
\]
a z toho nakonec vyplynou následující charakteristiky způsobilosti:
\[
G_u - G_s = 20,3 - 19,7 = 2,0
\]
\[
\bar{c}_m = \min \left( \frac{G_u - G_s}{x_{0.865}} \right) = \frac{20,3 - 19,7}{x_{0.136} \cdot a} = \frac{2,0}{x_{0.865}} = 2,0
\]
Pomocí zjištěných charakteristik způsobilosti se tak prokázalo, že stroj z hlediska posuzovaného průměru hřídele právě ještě splňuje požadavky na způsobilost.
Výsledek je znázorněn na obrázku 12.
## Obrázek 12
**Příklad výroby s modelem normálního rozdělení a charakteristikami způsobilosti** \( C_m = 2,0, \; C_{m} = 1,67 \)
Image Analysis:
### Analysis of Provided Image
#### 1. Localization and Attribution:
- **Image 1**: The entire page consists mainly of textual content with two subsections. There is one specific visual component:
- **Image 1**: Located at the bottom of the page (graph/chart).
#### 2. Object Detection and Classification:
- **Image 1**: The objects in the image include:
- A normal distribution graph (bell curve) indicating statistical data.
- Vertical lines and bars illustrating different data points.
#### 3. Scene and Activity Analysis:
- **Image 1**: The scene focuses on a normal distribution graph used to explain statistical characteristics of a manufacturing process. The main activity is the visualization of data to interpret manufacturing consistency and capability.
#### 4. Text Analysis:
- **Text Content**:
- **Header**: "Strana 30 VW 101 30: 2005-02" indicating the document page and reference number.
- **Title**: "5 Příklady" which means "5 Examples."
- **Subsection**: "Příklad 1" meaning "Example 1."
- The subsequent text includes detailed statistical calculations and assessments related to a production process.
- **Figures and Equation Descriptions**: This includes formulae and symbols for statistical parameters such as mean (\(\mu\)), standard deviation (\(\sigma\)), and capability indices (\(C_m\), \(C_{mk}\)).
- **Diagram Caption**: "Obrázek 12 – Příklad výroby s modelem normálního rozdělení a charakteristikami způsobilosti C_m = 2,0 a C_{mk} = 1,67". This describes the graph as an example of production with a normal distribution model and certain capability characteristics.
#### 5. Diagram and Chart Analysis:
- **Image 1**:
- **Data Range**: X-axis represents 'Naměřená hodnota' (Measured Value); Y-axis represents 'Četnost' (Frequency).
- **Graph Interpretation**: The normal distribution graph displays observed variations in production measurements. The central peak represents the average value with spread indicating the standard deviation.
- **Key Insight**: A capability index (\(C_m = 2.0\), \(C_{mk} = 1.67\)) signifies the process's ability to produce within specified limits.
#### 14. Tables:
- **Equation and Data Interpretation**:
- Various equations are presented with specific values and parameters that explain the calculation of process capability and variability.
- Capabilities depicted through:
- \(C_m = \frac{20,3 - 19,7}{2 \cdot 0,15}\approx 2.0\)
- \(C_{mk} = \min(\frac{20,3 - 20,05}{3 \cdot 0,15}, \frac{20,05 - 19,7}{3 \cdot 0,15}) \approx 1.67\)
### Additional Observations:
#### Anomaly Detection:
- No noticeable anomalies in the diagram or text.
#### Color Analysis:
- The document is primarily grayscale with black text and lines to denote various statistical data points clearly.
#### Perspective and Composition:
- Document Layout: Standard vertical orientation with sequential flow from top to bottom.
- Graph Composition: Center-aligned at the bottom of the page with clear axes and labeled sections.
#### Contextual Significance:
- The provided example is an instructional aid focused on demonstrating statistical quality control in a manufacturing environment. The integration of text and graph aids in explaining the practical application of theoretical statistical concepts.
#### Process Descriptions:
- Describes a process for evaluating the manufacturing capability of a cylindrical component, involving mean diameter calculations and statistical capability indices.
By analyzing the image and its content, we can conclude that it serves as an educational example of statistical quality control in a manufacturing context, providing detailed calculations and graphical representations to explain the processes involved.
####################
File: VW%2010130_CS.pdf
Page: 31
Context: # Příklad 2:
Otvór s maximální odchylkou polohy \( G_s = 0,2 \, \text{mm} \).
Z = 50 naměřených hodnot vzorku nevyplnily ve statistických testech žádné odchyle. Žádné signifikantní změny polohy a žádné signifikantní odchylky od očekávaného Rayleighova rozdělení. Byly zjištěny následující charakteristiky naměřených vzorků:
\[
\overline{\mu} = -0,038 \, \text{mm}
\]
\[
a = s = 0,02 \, \text{mm} \\
\text{Z charakteristiky způsobilosti vyplyne poměr} \, \frac{\overline{\mu}}{a} = \frac{-0,038}{0,02} = -1,9
\]
Protože tato hodnota na základě náhodného rozptylu charakteristik vzorků menší, než zmíněná hodnota 1,9131 podle podmínky (2.23), je poměr nastaven na tuto nemí hodnotu, z čehož opět vyplývá excentricita \( z = 0 \).
Tak lze druhu hodnotu parametru přizpůsobovaného Rayleighova rozdělení spočítat následujícím způsobem podle zvláštního případu (2.26):
\[
\alpha_n = 1,526 - 0,02 = 1,506 \, 0,0305\, \text{mm}
\]
Ze vzorců (2.27) vyplývají odhadované hodnoty hranic oblasti rozptylu:
\[
x_{0,865} = 5,5485 - 0,02 = 5,5485 - 0,2111
\]
\[
x_{0,135} = 0,0773 - 0,0773 - 0,02 \, 0,0016 \, \text{mm}
\]
Ze vzorců (2.3) a (2.4) nakonec vyplynou následující charakteristiky způsobilosti:
\[
\overline{c}_m = \frac{x_{0,865}-\overline{\mu}}{a} = \frac{5,86965 - (-0,038)}{0,111 - 0,0016} = 1,83 \\
G_s = \frac{x_{0,865} - 0,2}{0,2 - 0,038} = \frac{5,86965 - 0,2}{0,2 - 0,038} = 2,22
\]
Výsledky vyhodnocení je znázorněno na obrázku 13.
### Obrázek 13 – Příklad výroby s modelem Rayleighova rozdělení a charakteristikami způsobilosti \( \overline{c}_m = 1,83 \, \text{a} \, c_m^k = 2,22 \)
Pomocí zjištěné charakteristiky \( c_m \) se tak prokáže, že stroj z hlediska odchylek polohy otvoru dobře splňuje požadavky na způsobilost. Pro hodnotu \( G_s \) sice neví i jednoduché náhory tolerovaném případě definována žádné mezní hodnotu, avšak porovnáním s hodnotou \( c_m \) vyplývá informace o poloze výroby, přičemž nežší hodnota \( G_s \) udává, že leží spíše blíže přirozené nulové hranici než maximálním rozměrům.
Image Analysis:
Here is a comprehensive examination of the attached visual content based on the requested aspects:
---
### 1. Localization and Attribution:
- **Image Number:** 1
- **Number of Images on Page:** 1
### 2. Object Detection and Classification:
- **Image 1:**
- **Objects Detected:**
- A graph with labeled axes
- Text explanations and calculations
### 3. Scene and Activity Analysis:
- **Image 1:**
- **Scene Description:** The scene includes a page of text with a mathematical example (Příklad 2), along with calculations and explanations of various statistical characteristics and a histogram (Obrázek 13).
- **Activities:**
- Displaying data analysis
- Describing analytical results
### 4. Text Analysis:
- **Text Detected:**
- **Příklad 2:**
- Detailed explanation of the example including statistical tests and calculations.
- Includes various calculated parameters:
- \(\hat{\mu} = -0,038 mm\), \(a = s = 0,02 mm\)
- Other significant formulas and statistical parameters.
- **Graph Title:**
- "Obrázek 13 – Příklad výroby s modelem Rayleighova rozdělení a charakteristikami způsobilosti \(c_m = 1,83 a c_{mk} = 2,22\)"
- **Graph Axis Labels:**
- Vertical Axis: "Četnost" (Frequency)
- Horizontal Axis: "Naměřená hodnota" (Measured Value)
### 5. Diagram and Chart Analysis:
- **Image 1:**
- **Type of Diagram/Chart:**
- A histogram showing the distribution of measured values.
- **Axes, Scales, and Legends:**
- **Vertical Axis (Frequency)** labeled "Četnost"
- **Horizontal Axis (Measured Value)** labeled "Naměřená hodnota"
- **Insights:**
- The histogram depicts how the measured values are distributed and compares these with certain statistical thresholds.
### 13. Graph Numbers:
- **Data Points and Values:**
- Numerical data points and threshold values are derived from statistical properties:
- \( \hat{\mu} \)
- \( \hat{\sigma} \)
- \( a \)
- \( c_m \)
- \( c_{mk} \)
### Additional Aspects:
- **Ablaufprozesse (Process Flows):**
- The process described includes taking 50 measurements and assessing their statistical properties.
- **Prozessbeschreibungen (Process Descriptions):**
- Step-by-step calculations of statistical measures.
- **Trend and Interpretation:**
- Comparison of \( \hat{\mu} \) and \( \hat{\sigma} \) with expected values.
- Analysis of machine capability metrics \( c_m \) and \( c_{mk} \).
---
### Contextual Significance:
- **Significance:**
- The image contributes to a technical or statistical analysis document, enhancing understanding of machine capability and variation using a Rayleigh distribution model.
### Metadata Analysis:
- There is no visible metadata in the image to contribute to the analysis.
---
This examination integrates multiple requested aspects of the visual content, providing a detailed overview and interpretation of the text, diagram, and contextual significance.
####################
File: VW%2010130_CS.pdf
Page: 32
Context: # Strana 32
VW 101 30: 2005-02
## Příklad 3:
Průměr hřídele s jmenovitým průměrem 20 mm, minimálním rozměrem Gₓ = 19,7 mm a maximálním rozměrem Gₕ = 20,3 mm. Z = 50 naměřených hodnot vzorku nevyplynuly ve statistických testech žádné odlehlé hodnoty a žádné signifikantní změny polohy, avšak signifikantní odchylka od očekávaného normálního rozdělení. Proto se provedly nepramenité výpočty podle oddílu 3.2.2. Za tímto účelem byly zjištěny následující charakteristiky namátkových vzorků:
- \[ \bar{x}_{s} = 20,02 \, \text{mm} \]
- \[ x_{\text{max}} = 20,19 \, \text{mm} \]
- \[ x_{\text{min}} = 19,85 \, \text{mm} \]
**Opravným faktorem podle vzorce (2.38) a tabulky 1:**
\[ k = \frac{d}{4} = 1,33 \]
**Rozpětí podle vzorce (2.37):**
\[ R = x_{\text{max}} - x_{\text{min}} = (20,19 - 19,85) \, \text{mm} = 0,34 \, \text{mm} \]
**Podle vzorce (2.36):**
\[ \bar{x}_{c} = \frac{x_{\text{max}} + x_{\text{min}}}{2} = \frac{20,19 + 19,85}{2} = 20,02 \, \text{mm} \]
**Odvozené hodnoty pro hranice oblasti rozptylu podle vzorce (2.35):**
\[ \bar{x}_{k} = \bar{x}_{c} \pm k \cdot \frac{R}{2} \]
\[ \bar{x}_{k} = 20,02 \pm 1,33 \cdot 0,34 \]
\[ \bar{x}_{k} = 20,02 \pm 0,45 \approx 20,246 \, \text{mm}, \, \sigma_{k} = 19,794 \, \text{mm} \]
**Tak ze vzorců (2.29) a (2.30) vyplynuly následující charakteristiky způsobilosti:**
\[ c_{m} = \frac{G_{u} - \bar{x}_{s}}{G_{u} - G_{l}} = \frac{20,3 - 19,7}{20,3 - 19,7} = 1,33 \]
\[ c_{m} = \min\left(1, \frac{\bar{x}_{s} - x_{\text{min}}}{x_{\text{max}} - \bar{x}_{s}} \right) \]
\[ c_{m} = \frac{20,02 - 19,85}{20,19 - 20,02} = 1,24 \]
**Výsledek vyhodnocení je znázorněn na obrázku 14.**
## Obrázek 14
**Příklad výrobů s definovaným distribučním modelem s charakteristikami způsobilosti \( C_{m} = 1,33 \) a \( C_{mk} = 1,24 \)**
Ze zjištěných charakteristik způsobilosti tak vyplývá, že stroj z hlediska posuzované charakteristiky nesplňuje požadavky na způsobilost. Zajímavou informací této souvislosti poskytuje signifikantní odchylka od očekávaného normálního rozdělení. Neboť z toho je zřejmý potenciál pro optimalizaci, jako zde v případě smíšeného rozdělení.
Image Analysis:
### Localization and Attribution:
- **Image 1:** This image occupies the top part of the document. It consists of a textual explanation followed by mathematical formulas.
- **Image 2:** A histogram chart located in the lower part of the document, illustrating data related to the preceding textual content.
### Text Analysis (Image 1):
- **Image 1:**
- The text appears to be technical in nature, likely focusing on statistical analysis related to a manufacturing process.
- The document starts by specifying a standard diameter of a shaft (20 mm) and discusses the statistical properties of a sample of 50 measurements with no significant deviation detected from the expected normal distribution.
- Several mathematical formulas and calculations follow, focusing on mean, variance, and corrected factors. Each formula references specific equations, such as `(2.35)`, `(2.36)`, and `(2.38)`, which likely belong to a larger set of rules or standards.
### Diagram and Chart Analysis (Image 2):
- **Image 2 (Chart):**
- The chart is titled "Obrázek 14 – Příklad výroby s definovaným distribučním modelem s charakteristikami způsobilosti Cm = 1,33 a Cmk = 1,24".
- **Axes:**
- X-axis labeled "Naměřená hodnota" and represents measured values ranging from 19.7 to 20.4.
- Y-axis labeled "četnost" and represents frequency.
- **Bars in Histogram:**
- The histogram displays frequency data for specific measurement ranges.
- Key values such as \( G_u = 20.3 \) mm, \( G_m = 20.2 \) mm, and \( G_l = 19.9 \) mm are highlighted within the chart.
- **Significance:**
- The chart exemplifies the distribution of measurements with specific capability indices \( C_m \) and \( C_{mk} \).
- The values and distribution imply the evaluated samples generally fit within the normal distribution but highlight areas for potential optimization around smíšené (mixed) distribution.
### Anomaly Detection:
- No evident anomalies in both images. The histogram and the accompanying formulas and text appear consistent and relevant to each other.
### Color Analysis (Image 2):
- **Image 2:**
- Primarily grayscale with key features such as bars, labels, and lines. The histogram bars have varying shades to differentiate frequencies clearly.
### Perspective and Composition:
- **Image 1:**
- The text is written in a structured, sequential format, with formulas and calculations following a logical order.
- **Image 2:**
- The histogram uses a standardized format common for statistical data, with a clear and concise layout to enhance readability and interpretability.
### Contextual Significance:
- **Overall Contribution:**
- The document, likely a technical report, uses the histogram to visualize the statistical findings complementing the text and mathematical analysis. It underscores the consistency and accuracy of the manufacturing process measurements.
### Graph and Trend Analysis:
- **Image 2:**
- The histogram suggests that most measurements lie within a narrow range close to the mean value, signifying a well-maintained process with potential areas for improvement based on capability indices.
### Conclusion:
This document segment, including both text and histogram, provides a thorough examination of a manufacturing process's statistical properties. The combination of detailed textual analysis and visual representation form a comprehensive assessment indicating the process efficiency and areas for potential optimization.
####################
File: VW%2010130_CS.pdf
Page: 33
Context: # 6 Související podklady
- **VW 010 56** Zeichnungen; Form- und Lagetoleranzen
[Výkresy; Tvarové a polohové toleranace]
- **VW 010 57** Statistische Toleranzrechnung von Maßketten
[Statistické výpočty tolerancí rozměrových řetězců]
- **VW 101 33** Test auf Ausreißer
[Test odlehlých hodnot]
- **DIN 55319** Qualitätsfähigkeitskenngrößen
[Charakteristiky kvalitativní způsobilosti]
- **ISO 5479** Statistical interpretation of data - Tests for departure from the normal distribution
[Statistická interpretace dat – testy odchylek od normálního rozdělení]
# 7 Odkazy na literaturu
1. Graf, Henning, Stange, Willich. Formeln und Tabellen der angewandten mathematischen Statistik, Springer-Verlag, Dritte Auflage, 1987
[Graf, Henning, Stange, Willich, Vzorce a tabulky aplikované matematické statistiky, Springer-Verlag, Dritte Auflage, 1987]
2. Kühlmeyer M. Statistische Auswertungsmethoden für Ingenieure, Springer-Verlag, 2001
[Kühlmeyer M., Statistické vyhodnocovací metody pro inženýry, Springer-Verlag, 2001]
Image Analysis:
### Image Analysis
#### 1. Localization and Attribution
- **Image Identification**: This is the sole image provided.
- **Image Numbering**: Image 1.
#### 2. Object Detection and Classification
- **Detected Objects**:
- Text blocks.
- Numerals indicating sections (6 and 7).
- Reference codes (VW 010 56, VW 010 57, VW 101 33, DIN 55319, ISO 5479).
- Reference texts for literature sources [1] and [2].
#### 4. Text Analysis
**Detected Text**:
- **Section 6** (Související podklady):
- VW 010 56 Zeichnungen; Form- und Lagetoleranzen [Výkresy; Tvarové a polohové tolerance]
- VW 010 57 Statistische Toleranzrechnung von Maßketten [Statistické výpočty tolerancí rozměrových řetězců]
- VW 101 33 Test auf Ausreißer [Test odlehlých hodnot]
- DIN 55319 Qualitätsfähigkeitskenngrößen [Charakteristiky kvalitativní způsobilosti]
- ISO 5479 Statistical interpretation of data - Tests for departure from the normal distribution [Statistická interpretace dat – testy odchylek od normálního rozdělení]
- **Section 7** (Odkazy na literaturu):
- [1] Graf, Henning, Stange, WIlrich, Formeln und Tabellen der angewandten mathematischen Statistik. Springer-Verlag. Dritte Auflage. 1987 [Graf, Henning, Stange, Wilrich, Vzorce a tabulky aplikované matematické statistiky, Springer-Verlag, Dritte Auflage, 1987]
- [2] Kühlmeyer M., Statistische Auswertungsmethoden für Ingenieure, Springer-Verlag, 2001 [Kühlmeyer M., Statistické vyhodnocovací metody pro inženýry, Springer-Verlag, 2001]
**Content Analysis**:
- **Section 6** lists various standards and tests related to statistical tolerance calculation, quality capability indexes, and statistical data interpretation. Each item includes both the original German titles and Czech translations.
- **Section 7** lists references to literature relevant to the topics discussed in Section 6. These references include detailed bibliographic information about books on applied mathematical statistics and statistical evaluation methods for engineers.
#### 9. Perspective and Composition
- **Perspective**: The image is a direct top-view scan of a document page, likely extracted from a technical or academic publication.
- **Composition**: The text is structured into two main sections (Související podklady and Odkazy na literaturu) with bullets and references clearly listed and neatly formatted.
#### 10. Contextual Significance
- **Document Context**: This page appears to be part of a technical document or a standardization handbook related to statistical methods in engineering and manufacturing.
- **Contribution to Overall Message**: The sections provide critical references and background information necessary for understanding statistical tolerance calculations and quality control measures. They also direct the reader to additional resources and literature for further reading.
#### 12. Graph and Trend Analysis
- **Type Designations**: Standards and references listed in Section 6 and Section 7 are designated by specific codes (e.g., VW 010 56, DIN 55319).
- **Trend and Interpretation**: The listed standards indicate a trend towards rigorous, standardized approaches in statistical process control and quality management in manufacturing.
### Summary
The image presents a well-structured reference page from a technical document, listing standards (in two languages) and literature sources related to statistical methods in engineering. It emphasizes scholarly references and standardized practices in statistical tolerance and quality assessment.
####################
File: VW%2010130_CS.pdf
Page: 34
Context: # 8 Seznam hesel
| Heslo | Strana | Heslo | Strana |
|------------------------------------------------|----------|------------------------------------------------|----------|
| A | | O | |
| a riziko | 20 | očekávaná hodnota v rozdělení 𝑖 | 17 |
| absolutní činnost a | 10, 17 | odběr namátkových vzorků | 24 |
| absolutní distribuční funkce 𝑓 | 17 | odhad / odhadované hodnoty | 8,9 |
| alternativní hypotéza | 20 | odlehlé hodnoty | 20,26 |
| B | | omezená MFU | 25 |
| b riziko | 20 | opravný faktor | 29 |
| C | | P | |
| capability | 3 | parametr rozdělení | 3 |
| D | | podmínky pro MFU | 24 |
| distribuční funkce 𝑓(𝑥) | 5 | poloha | 3 |
| dokumentace | 27 | polohy výroby | 3,28 |
| druh charakteristiky | 4,25 | poruchy stroje | 24 |
| E | | pořadí výroby | 28 |
| efektivní rozsah vzorku 𝑛𝑒 | 10, 24 | posun nulového bodu | 6 |
| Epps-Pulleyův test | 20,26 | použití zkušebních prostředků | 24 |
| extrakce z | 7 | prahová hodnota | 20 |
| F | | pravděpodobnost 𝑝 | 5 |
| funkce hustoty 𝑓(𝑥) | 24 | pravděpodobnost sítě | 27 |
| funkce hustoty pravděpodobnosti 𝑓(𝑥) | 5 | průběh trendu | 26 |
| H | | R | |
| Hamplevit test | 20 | radiální odchylka | 7 |
| hladina významnosti a | 20 | Rayleighovo rozdělení | 7, 13 |
| hodnota charakteristiky | 17 | rozdělení | 4 |
| hraniče konfidenčního intervalu | 18 | rozdělení četností | 10, 17 |
| hranice oblasti rozptylu | 3, 10 | rozdělení či kvadrát | 18 |
| K | | rozptyl 𝑐² | 4 |
| charakteristiky způsobilosti 𝑐𝑚, 𝑎 | 3, 9 | rozptyl výroby | 3,8 |
| koeficient spolehlivosti | 20, 26 | rozsah vzorků | 24 |
| kvalita předběžně obhospodařené kvantili | 24 | rozšíření tolerance | 29 |
| L | | Run test | 20 |
| maximální rozměr 𝐺𝑜 | 3, 9 | | |
| medián | 16 | standardizované normální rozdělení | 26,32 |
| metoda měření | 24 | - U transformace | 5 |
| mezičinné hodnoty pro způsobilost stroje | 18,28 | - distribuční funkce 𝑓(𝑥) | 5 |
| minimální rozměr 𝐺𝑢 | 3,9 | - funkce hustoty pravděpodobnosti 𝑓(𝑢) | 5 |
Image Analysis:
1. **Localization and Attribution:**
- The entire content forms a single image, analyzed as Image 1.
4. **Text Analysis:**
- Detected and extracted text:
```
Strana 34
VW 101 30: 2005-02
8 Seznam hesel
Heslo Strana Heslo Strana Heslo Strana
A náhodné vlivy 3 H ampelvý test 20,26
a riziko 20 neparametrický odhad 16, 27
absolutní četnost a 10, 17 normální rozdělení 4,1
absolutní distribuční funkce A 17 nulová hypotéza 20
alternativní hypotéza 20
P očekávaná hodnota v rozdělení 17
B odběr námatkových vzorků 24
B riziko 20 odhad / odhadované hodnoty 8,9
capability 3 odlehlé hodnoty 20,26
D omezená MFU 25
P distribuční funkce F(x) 5 opravný faktor k 17
diskrétní model 4 optimalizace stroje 29
dokumentace 27 P
druh charakteristiky 4,25 parametr rozdělení 3
efektivní rozsah vzorků ne 10, 24 podmínky pro MFU 24
Epps-Pullejv test 20,26 poloha 3
extrémně t 7 polohy výroby 3,28
F poruchy stroje 24
funkce hustoty f(x) 4 pořadí výroby 24
funkce hustoty pravděpodobnosti f(x) 4 posouzení výsledku 28
H posun nulového bodu 6
Hampeiv test 20 použití zkušebních prostředků 24
hladina významnosti a 20 prahová hodnota 20
hodnota charakteristiky 3 pravděpodobnost p 5
hranice konfidenčního intervalu 18 pravděpodobnostní síť 27
hranice oblasti rozptylu 3 průběh trendů 26
Q radiální odchylka r 7
charakteristiky způsobilosti cm, a 3, 9 Rayleighovo rozdělení 7, 13
cpm 20 rozdělení 4
K rozdělení četností 10, 17
koeficient smělpvostí r 7 rozdělení chí kvadrát 18
kvaita předběžného
```
- The text is a table of contents or index for a document in Czech language. It lists topics/terms (Heslo) along with the page numbers (Strana) where those terms can be found. The text is structured in a three-column format, with each column listing different terms and their corresponding page numbers.
5. **Diagram and Chart Analysis:**
- There are no diagrams or charts present in the image.
8. **Color Analysis:**
- The image is predominantly grayscale with black text on a white background. This type of color scheme is often used for readability and clarity in printed documents.
9. **Perspective and Composition:**
- The image is taken from a straight-on perspective, typical for scanned or digitally created documents.
- The composition is structured and organized in a tabular format, which aids in searching and referencing specific terms.
####################
File: VW%2010130_CS.pdf
Page: 34
Context: **Overall Summary:**
- The image provides a list of terms and their corresponding page references from what appears to be a technical or academic document. It is organized in an alphabetical manner and is intended to help users quickly locate information about specific topics within the document. The clear and systematic presentation enhances usability for readers.
####################
File: VW%2010130_CS.pdf
Page: 35
Context: # Heslo
| Heslo | Strana | Heslo | Strana |
|--------------------------------------------|--------------|-------------------------------------------|--------------|
| Standardní odchylka σ | 4, 10 | - jednozdanné dolu | 9, 16 |
| statistická podlož pod oblast | 18 | - oboustranně | 9, 16 |
| statistické testy | 20 | upravené hranice způsobilosti | 19, 28 |
| stroj zahřátí na provozní teplotu | 24 | V | |
| střední hodnota m | 4.1 | vyhodnocení dat | |
| stupeň volnosti | 18 | Výjimka / přenastavení nářadí | 29 |
| Swed-Eisenhardtův test | 20 | výpočet statistických tolerancí | |
| šířka trůnu Δx | 17 | v rozdělení | |
| T | | Weibullovo rozdělení | 5,11 |
| test | | | |
| - odlehlých hodnot | 20, 26 | zakrouhlování hodnot | 28 |
| - stanoveného distribučního modelu | 20, 26 | způsobilosti | |
| - změny polohy výroby | 20, 26 | zatříděné naměřené hodnoty | 29 |
| toleranční interval | 3, 8 | zjištění způsobilosti | 20 |
| tolerovaná charakteristika | 4 | zkušební hodnota | 28 |
| - jednozdanně nahoru | 9, 16 | zkušební veličina | 20 |
Image Analysis:
### Image Analysis
1. **Localization and Attribution:**
- There is only one image on the page.
- It is referred to as **Image 1** for the purpose of this analysis.
2. **Text Analysis:**
- The image contains a structured list in two columns.
- The left column headers translate to "Word" and "Page" in English, and the right column lists numerical values.
- The right column headers translate to "Word" and "Page" in English as well, with corresponding values.
- The headers suggest this might be a table of contents or an index for a document, as they list terms and corresponding page numbers.
- **Detailed Content:**
- **Left Column:**
- "Standardní odchylka σ" appears on pages 4, 10.
- "statistická podílova oblast" appears on page 18.
- "statistické testy" on page 20.
- Items related to manufacturing processes, tolerance intervals, etc.
- **Right Column:**
- "jednostranně dolu" and "oboustranně" each appear on pages 9, 10, 16.
- "upravěné hranice způsobilotí" spans pages 19, 28.
- "výhodnocení dat" is on page 25, among other terms related to data analysis and testing.
3. **Object Detection and Classification:**
- The primary object in this image is a textual document, specifically a table.
- The main features include headers, rows, and columns filled with text and numerical data.
4. **Color Analysis:**
- The image is mostly black text on a white background.
- The simplicity of the color scheme ensures high contrast and readability.
5. **Perspective and Composition:**
- The perspective is a straightforward, head-on view of the table.
- The image is composed of two main columns of text, neatly arranged for clarity.
6. **Contextual Significance:**
- This image likely serves as a reference or index within a larger document, possibly a technical manual or a statistical report.
- It helps readers locate specific information within the document efficiently.
### Summary:
**Image 1** presents a structured table of contents or an index from a document, listing terms related to statistics and manufacturing processes along with their corresponding page numbers. The simple black and white color scheme ensures readability, and the organized composition aids in quick reference. The contextual placement within a larger document implies its role in assisting readers to navigate the contents efficiently.
####################
File: 240910_Skoda_Automation_MGH_Portal_direkt.pptx
Page: 1
Context: # Skoda SSP Motorgehäuse (MGH) Automation
**Date:** 2024-09-13
**Author:** Ralf Haug
---
## Companies Involved
- VDF Boehringer
- CORCOM
- DMC
- Feelers
- Hessapp
- IMRAS
- JOBS
- Leadwell
- AG
- Meccanodora
- MORARA
- Pffiffer
- Ramboud
- Sackman
- Sigma
- SMS
- SNK
- Tacchella
- Witzig & Frank
Image Analysis:
### Image Analysis
#### 1. Localization and Attribution:
- **Image 1**: Only one image present on the page, taking up the entire canvas.
#### 2. Object Detection and Classification:
- **Image 1**:
- **Detected Objects**:
- Logos of multiple companies/brands at the bottom (e.g., VDF BOEHRINGER, CORCOM, DMC, FEELER, etc.).
- A large, complex industrial layout in the background, possibly a factory or manufacturing plant.
#### 3. Scene and Activity Analysis:
- **Image 1**:
- **Scene Description**: The image appears to show an industrial or manufacturing environment. The background consists of a detailed layout of machinery and equipment, possibly automation lines or production zones.
- **Activities**: The focus is on automation within the manufacturing industry.
#### 4. Text Analysis:
- **Image 1**:
- **Detected Text**:
- "Skoda SSP Motorgehäuse (MGH) Automation"
- "2024-09-13, Ralf Haug"
- Various brand and company names at the bottom.
- **Text Significance**:
- The title "Skoda SSP Motorgehäuse (MGH) Automation" suggests that the image pertains to automation in the manufacturing of Skoda engine housing.
- The date and name ("2024-09-13, Ralf Haug") likely indicates the creation date of the document and the author’s name.
- Company logos and names indicate collaboration or sponsorship by multiple manufacturers and technical solution providers.
#### 5. Diagram and Chart Analysis:
- **Image 1**:
- The background industrial layout could be considered a form of diagram, representing a factory or production setup.
#### 8. Color Analysis:
- **Image 1**:
- **Dominant Colors**: Shades of teal and white.
- **Impact on Perception**: The use of teal creates a professional, calm, and industrially focused feel, aligning with the theme of automation and manufacturing.
#### 9. Perspective and Composition:
- **Image 1**:
- **Perspective**: The layout image in the background is depicted from an overhead/bird’s-eye view, providing a comprehensive view of the industrial setup.
- **Composition**:
- The text and logos are centrally placed overlaid on the complex industrial layout in the background.
- Important informational text is positioned centrally to immediately draw attention.
#### 10. Contextual Significance:
- **Image 1**:
- **Overall Message**:
- The image aims to provide an overview of an automation project related to Skoda SSP engine housing, associating it with various industry collaborators.
- Emphasizes technological integration and automation in manufacturing.
### Conclusion:
This image illustrates the automation efforts for Skoda SSP engine housing, prominently featuring a layout of the automation setup and highlighting collaboration with multiple industrial partners. Dominant teal hues and professional composition underscore the technological and industrial focus of the content.
####################
File: 240910_Skoda_Automation_MGH_Portal_direkt.pptx
Page: 2
Context: # Projektdaten
**Kunde:**
Skoda, Mlada Boleslav
**Werkstück:**
Motorgehäuse (MGH) SSP
**Taktzeit:**
75s
**Terminplan:**
TBD
**Referenzdokument:**
TZ. Linka ebrbnai mactryve skrine elektrophonu SSP v5 DE
## Others
**Kontakt MAG EK:**
Sonja Haas: [sonja.haas@mag-ias.com](mailto:sonja.haas@mag-ias.com)
**Kontakt MAG Planung:**
Ralf Haug: [ralf.haug@mag-ias.com](mailto:ralf.haug@mag-ias.com)
Image Analysis:
### Localization and Attribution:
- **Image Position and Number:**
- This is a single image on the page, labeled as **Image 1**.
### Object Detection and Classification:
- **Image 1:** Contains text and company logos.
- **Company Logos:** VDF BOEHRINGER, MAG, FFG.
- **Text Blocks:** Various project-related information.
### Text Analysis:
**Image 1:**
- **Detected Text (Translated where possible):**
- **Projekt Daten (Project Data):**
- **Kunde:** Skoda, Mlada Boleslav
- **Werkstück:** Motorgehäuse (MGH) SSP (Engine Housing SSP)
- **Taktzeit:** 75s (Cycle Time: 75 seconds)
- **Terminplan:** (Schedule:)
- **Reports:** T.Z. Linka obrábění motorové skříně elektropohonů SSP v5 DE (Production Line for Machining Electric Motor Housings SSP v5 DE)
- **Others:**
- **Kontakt MAG EK:** Sonja Haas; sonja.haas@mag-ias.com
- **Kontakt MAG Planung:** Ralf Haug; ralf.haug@mag-ias.com
- **Additional Details:** 18.09.2024 (Date: September 18, 2024)
- **Analysis of Text Content and Significance:**
- The image presents essential project data for a client named Skoda, related to the production of motor housings with a cycle time of 75 seconds.
- Contact information for key personnel involved in the project is provided.
- The text elucidates the entities responsible for the project and their roles.
### Color Analysis:
**Image 1:**
- **Dominant Colors:**
- **Teal/Green:** Used predominantly for text.
- **Red:** "vorab" (preliminary) watermark.
- **Blue:** Logos (VDF BOEHRINGER, MAG).
- **White:** Background.
- **Impact on Perception:**
- The use of teal/green is calming and professional, suggesting reliability.
- The red watermark "vorab" indicates the document might be a draft or preliminary version.
- The white background ensures readability and a clean presentation.
### Perspective and Composition:
**Image 1:**
- **Perspective:** Straight-on view, typical of document presentations.
- **Composition:**
- The image is neatly organized with text aligned to the left and logos positioned on the top right.
- Contact information and other details are distributed logically, making the document easy to navigate.
- **Element Arrangement:**
- Hierarchical presentation of project data, making it simple to understand at a glance.
### Contextual Significance:
**Image 1:**
- **Contextual Analysis:**
- The image appears to be a slide from a professional presentation deck related to automotive manufacturing.
- It contributes to the overall theme by highlighting crucial project details and contacts associated with the Skoda engine housing project.
### Typen Bezeichnung (Type Designations):
- **Project-Related Types:**
- The type of material/workpiece involved is designated as "Motorgehäuse (MGH) SSP,” indicating a focus on engine housings for a specific Skoda project.
### Summary:
**Image 1** provides a detailed overview of a project involving Skoda and the machining of engine housings. Key details include project data, cycle time, involved parties, and contact information. The professional layout and color scheme support clarity and ease in conveying essential information, while the red "vorab" watermark suggests it is a preliminary document.
####################
File: 240910_Skoda_Automation_MGH_Portal_direkt.pptx
Page: 3
Context: # Werkstück
## Gussteil
## Bearbeitetes Teil
### Details
| Bauteil | Motorphänotyp SSP HA LX34 |
|----------------------- |-----------------------------|
| Zeichnungsnummer | 000.910.13B |
| Gewicht des bearbeiteten Teils | (inkl. der Lagerböden 0.369 kg) |
| Gehäuse | GEA 903 100 108 (z.B. CNC 18.3600 - ASSI/JS3 [F]) |
| Lagerböden | 0A 902 151 A DIN 30910-SINT-D11 |
| Material | - |
| Grundfläche | - |
### Datum
18.09.2024
### Hinweis
Skoda SSP MGH Automation
Image Analysis:
### Localization and Attribution:
- **Image 1**: Located in the top-left area, showing "Gussstück."
- **Image 2**: Located in the top-center area, showing "Bearbeitetes Teil."
- **Image 3**: Located in the top-right area, showing a technical diagram.
- **Image 4**: Located in the bottom area, showing a table chart.
### Object Detection and Classification:
- **Image 1**:
- **Object**: "Gussstück" (casting) of an engine part.
- **Key Features**: Metallic, unprocessed engine part with ridges and complex structure.
- **Image 2**:
- **Object**: "Bearbeitetes Teil" (machined part) of an engine part.
- **Key Features**: Similar to Image 1 but highlighted areas are blue, indicating machining or finishing processes applied.
- **Image 3**:
- **Object**: Technical drawing/diagram of an engine part.
- **Key Features**: Contains labels and dimensions that detail the structure of the same part shown in the previous images.
- **Image 4**:
- **Object**: Table chart.
- **Key Features**: Contains detailed information about the part, including weight, materials, and standards.
### Scene and Activity Analysis:
- **Image 1**: Depicts the raw, unprocessed version of the engine part ("Gussstück").
- **Image 2**: Shows the same part after machining processes ("Bearbeitetes Teil"), suggesting a transformation or enhancement process.
- **Image 3**: Provides a technical blueprint of the part, suitable for engineering or manufacturing use.
- **Image 4**: Displays a table with specifications and details about the engine part, aiding in technical documentation.
### Text Analysis:
- **Image 4**:
- **Extracted Text**:
```
Bauteil: Motorgehäuse SSP HA LX34
Zeichnungsnummer: 00A.901.108
Gewicht des bearbeiteten Teils: 14.675 kg (davon ca. 10 Lagernabe 0.369 kg)
Gehäuse 00A 901 108 rot
Material: EN AC-AlSi10CuMg-40000 - AlSi1Cu3 (Fe)
Lagerbuchse 00A 901 215 A DIN 390101-SINT-D-11
Grundmaße folgt der Zeichnung
```
- **Content Analysis**:
- **Bauteil**: Part name, "Motorgehäuse SSP HA LX34" (engine casing).
- **Zeichnungsnummer**: Drawing number.
- **Gewicht des bearbeiteten Teils**: Weight of the machined part.
- **Material**: Specified materials used.
- **Lagerbuchse**: Bearing specifications.
- **Grundmaße**: Base dimensions.
### Diagram and Chart Analysis:
- **Image 3**:
- **Axes and Scales**: N/A (technical diagram)
- **Legends**: Contains labels indicating different sections and measurements of the engine part.
- **Key Insights**: Offers detailed schematics for manufacturing or quality control.
### Process Descriptions:
- Images depict the transformation of an engine part from raw casting to a finished machined part. The table and technical diagram provide supplementary information useful in manufacturing or engineering contexts.
### Type Designations:
- **Image 1**: "Gussstück" (casting)
- **Image 2**: "Bearbeitetes Teil" (machined part)
### Trend and Interpretation:
- The images collectively show a progression in manufacturing from raw material to finished product, indicating the stages and technical specifications involved in the process.
### Tables:
- **Image 4**: Presents crucial information about the engine part, such as weight, material composition, and relevant standards.
### Color Analysis:
- **Image 1**: Dominated by shades of grey, indicating raw metal.
- **Image 2**: Includes blue highlights, emphasizing machined areas.
- **Image 3**: Predominantly black and white, standard for technical diagrams.
### Perspective and Composition:
- **Image 1 and Image 2**: Angled view highlighting different planes of the part.
- **Image 3**: Standard flat perspective used for technical clarity.
- **Image 4**: Tabular format, focusing on detailed information.
### Contextual Significance:
- These images likely serve an engineering or manufacturing document, providing detailed information necessary for the production and quality control of an engine part.
### Metadata Analysis:
- **Date**: 18.09.2024.
- This date might represent the creation or revision date of the document, giving context to the currency and relevance of the information provided.
####################
File: 240910_Skoda_Automation_MGH_Portal_direkt.pptx
Page: 4
Context: # Terminplan
## 7. Terminplan
| Activity | 2024 | 2025 | 2026 | 2027 |
|-----------------------------------------------|----------|----------|----------|----------|
| Bestellungen | | 01/25 | 04/26 | |
| Lieferung, Inbetriebnahme und Übergabe | 1. BaP/OP → komplette Automatisierung | 1.8/26 | | |
| TB/PVS | | | | |
| Nielsen | | | | |
| SOP | | | | |
**MAG TP folgt**
Image Analysis:
### Analysis of the Provided Visual Content
#### 1. Localization and Attribution:
- The visual content consists of a single image.
- **Image 1:** The image fills the entirety of the provided visual space.
#### 4. Text Analysis:
The text within the image includes several elements:
- **Header:**
- "Terminplan" (translated: "Schedule")
- "7. Terminplan" (translated: "7. Schedule")
- **Table:**
- **Columns:** Yearly markers 2024, 2025, 2026, 2027
- **Rows/Activities:**
- **"Bestellungen"** (translated: "Orders"): 2024
- **"Lieferung, Inbetriebnahme und Übergabe"** (translated: "Delivery, Commissioning and Handover"): 01/25 - 04/26
- **"1.BA/2.BA OP + komplette Automatisierung"** (translated: "1st Phase/2nd Phase OP + complete automation"): 6/25 - 1/26
- **"TBT-PVS"**: 1/8/26
- **"Nul/serie"**: 4/7/26
- **"Primäre Inbetriebnahme LKS-Taktlauf TUZ und Materialwirtschaft"** (translated: "Primary Commissioning LKS Cycle Time TUZ and Material Management"): 1/27
- **"2 Tage Produktion"** (translated: "2 Days Production"): 01/27
- **"SOP"**: 06/27
- **Additional Text:**
- "MAG TP folgt" (translated: "MAG TP follows"), which seems to indicate that additional details about the MAG TP will follow.
- Footer indicates "Skoda SSP MGH Automation" and the date "18.09.2024".
#### 5. Diagram and Chart Analysis:
- The chart presents a timeline of activities scheduled from 2024 to 2027.
- **X-axis:** Represents the timeline in years.
- **Y-Axis:** Represents various activities related to project execution.
- **Activities:** Noted in rows, providing a clear timeline for when each activity will commence and conclude.
- **Data presentation:** Green bars indicate expected task completion phases, and red markers pinpoint specific events or milestones.
#### 12. Graph and Trend Analysis:
- **Trend:** The activities are sequentially organized, following a strict timeline indicating progressive project phases.
- **2024:** Project initiation with order placements.
- **2025-2026:** Delivery, commissioning, handover, and automation setup.
- **2026:** Specific operation activities such as TBT-PVS and initial series run.
- **2027:** Completion activities including material management commissioning and the start of production.
#### 13. Graph Numbers:
Detailed dates and sequences for each activity:
- **Orders:** Projected in 2024.
- **Delivery, Commissioning, Handover:** 01/25 - 04/26.
- **1.BA/2.BA OP + Complete Automation:** 6/25 - 1/26.
- **TBT-PVS:** 1/8/26.
- **Nul/serie:** 4/7/26.
- **Primary Commissioning LKS cycle-time TUZ and Material Management:** 1/27.
- **2 Days of Production:** 01/27.
- **SOP:** 06/27.
### Additional Aspects:
#### Ablaufprozesse (Process Flows):
The image details a timeline of process flows, highlighting key stages from the initial order to the start of production. It outlines the transition from order placement to final commissioning, emphasizing on significant milestones such as delivery, automation, and testing phases.
#### Prozessbeschreibungen (Process Descriptions):
- **Bestellungen (Orders):** Initial stage of placing orders.
- **Lieferung, Inbetriebnahme und Übergabe (Delivery, Commissioning, Handover):** Transition from equipment delivery to operational status.
- **Automation Phases (1.BA/2.BA OP):** Implementation of automation systems.
- **Testing and Validation (TBT-PVS):** Ensuring systems function as intended.
- **Production Initiation (Nul/serie and 2 Days Production):** Beginning of manufacturing operations.
- **SOP (Start of Production):** Final commissioning marking the official start of production.
#### Contextual Significance:
The image provides a detailed schedule for implementing automation in Skoda SSP MGH. It serves as a project management tool to track progress and ensure all phases are completed on time, highlighting significant milestones and timelines critical for stakeholders.
---
This examination offers detailed insights into the visual content, covering various aspects from process flows to textual analyses, contextual relevance, and trend identification.
####################
File: 240910_Skoda_Automation_MGH_Portal_direkt.pptx
Page: 5
Context: # Layout
## Manufacturing Line for Skoda SSP MGH
### Basis - WET - Central coolant filtration
| Operation | Description |
|-----------|----------------------------|
| OP 20 | SEPARATOR SODD LOIMO |
| | HSK 63, 100 |
| OP 30 | SEPARATOR SODD LOIMO |
| | HSK 63, 100 |
- **MAG Content**
- **MAG Content extension**
- Supplied by customer
### Workdata / Workpoint
- Worksheets: 0024.005.108
### Tablet
- Cycle Time: 75s
- Model: Version 22.000
---
Skoda SSP MGH Automation
18.09.2024
Image Analysis:
### 1. **Localization and Attribution:**
- This image is the only one present on the page and can be referred to as **Image 1**.
### 2. **Object Detection and Classification:**
- **Image 1** contains engineering diagrams of a manufacturing line.
- Key features of the detected objects:
- Machines and equipment illustrated with detailed schematics.
- Different sections with distinct classification labels.
### 3. **Scene and Activity Analysis:**
- The entire scene is a technical diagram illustrating a manufacturing line for Skoda SSP MGH.
- The activity depicted includes the various stages of the manufacturing process with specific machines and central coolant filtration.
### 4. **Text Analysis:**
- Detected text in **Image 1**:
- "Manufacturing Line for Skoda SSP MGH"
- "Basis - WET - Central coolant filtration"
- Various operational points (e.g., "OP 10", "OP 20", "OP 30").
- Manufacturer details and workshop information at the bottom.
- Significance: This text explains the purpose of the diagram and provides labels for different operational points and manufacturing components.
### 5. **Diagram and Chart Analysis:**
- **Image 1** contains an engineering layout diagram.
- It shows the manufacturing process from different operational points:
- OP 10 (SPERDIT SDQUIZO LIMOD).
- OP 20 (SPERDIT SDQULO LIMOD AF-AEH).
- OP 30 (SPERDIT SDQULO LIMOD AF-AEH HSK 100, WE).
- Details on cycle time (`75s`), unit volume (`22,000 QE`), and date (`18.09.2024`).
### 6. **Product Analysis:**
- The products depicted are part of a manufacturing line for Skoda SSP MGH, specifically focused on WET - Central coolant filtration.
- Main features include various operational and machine components necessary for the manufacturing process.
### 7. **Anomaly Detection:**
- There are no noticeable anomalies or unusual elements in **Image 1**. Everything appears to be in line with what one would expect in an engineering diagram.
### 9. **Color Analysis:**
- Dominant colors: Blue, green, and black are used for different sections.
- Blue: Represents MAG content.
- Green: Customer-supplied content.
- The colors help in distinguishing different parts and materials, aiding in better understanding and visualization.
### 10. **Perspective and Composition:**
- **Image 1** is a top-down view of the manufacturing line, providing a detailed outline and layout.
- The composition is structured with different parts of the manufacturing process laid out horizontally across the page, making it easier to follow the workflow.
### 12. **Graph and Trend Analysis:**
- The diagram shows key trends in the manufacturing workflow and the specifics of the central coolant filtration process, with designated operational points and material classifications.
### 13. **Graph Numbers:**
- Data points for the manufacturing line include:
- Total cycle time: `75s`
- Total volume: `22,000 QE`
- Date: `18.09.2024`
### **Additional Aspects:**
- **Ablaufprozesse (Process Flows):**
- The diagram illustrates the process flows in a manufacturing line, showing the progression through different operational points.
- **Prozessbeschreibungen (Process Descriptions):**
- The processes described include various stages of the manufacturing line, coolant filtration, and the specifics of each operational point.
- **Typen Bezeichnung (Type Designations):**
- Designations include:
- OP 10: SPERDIT SDQUIZO LIMOD
- OP 20: SPERDIT SDQULO LIMOD AF-AEH
- OP 30: SPERDIT SDQULO LIMOD AF-AEH HSK 100, WE
These detailed analyses provide a comprehensive understanding of the visual content and its implications in the context of a manufacturing process for Skoda SSP MGH.
####################
File: 240910_Skoda_Automation_MGH_Portal_direkt.pptx
Page: 6
Context: # Lieferumfang
## MAG Umfang
### Linie 1
- Portal mit H-Lader und 2 Doppelgreifern
- Greiferfenster im Doppelgreifer einzeln ansteuerbar (Transport 1 Teil möglich)
- Nassenbearbeitung
- Kühlachse vor Ablegen WST auf FT-Band
- SSP Schubladen mit DMC-Handelser (1 pro)
- 2 PMC-Kameras am RT-Band
- Schnittstelle zu Kundenrechner
- Job (0) ist geloggt, elektrisch abgeschaltet
- Keine Teststelle bei MAG in EIS
- Virtuelle IBN
- Option
- 1 Woche Produktionsbegleitung
- Schulungspaket
### Linie 2
- Option als Duplikat
- Termin unbekannt
## Skoda Umfang
- RT/FT Paletten-Bänder
- Schutzhausaung für Bänder
Image Analysis:
Let's break down the content of the provided image based on the specified aspects.
### 1. Localization and Attribution:
- **Image Number**: 1.
- **Location**: The image is centered on a slide/page, with textual information on the right side and a diagram on the left side.
### 2. Object Detection and Classification:
- **Diagram**: There is a technical diagram, likely an engineering or manufacturing layout, depicting machinery and workflow.
- **Text Blocks**: Several bullet points to the right side of the diagram, describing various features and specifications.
### 3. Scene and Activity Analysis:
- **Scene Description**: The scene appears to be a technical presentation slide detailing equipment and processes for a manufacturing system.
- **Activities**: The text describes the setup and capabilities of different lines and machines in a manufacturing process.
### 4. Text Analysis:
- **Detected Text**:
- "Lieferumfang" at the top, which means "Scope of Delivery."
- Descriptions of various components and their functionalities under "MAG Umfang," "Linie 1," "Linie 2," and "Skoda Umfang."
- Specific details about machine parts, operations, and options available.
- **Significance**: The text provides a detailed explanation of the manufacturing equipment and processes depicted in the diagram. This is crucial for understanding the technical specifications and capabilities of the system.
### 5. Diagram and Chart Analysis:
- **Diagram Details**:
- Title: Not explicitly given, but contextually it is related to "Lieferumfang" or "Scope of Delivery."
- Depicts machinery and processes, possibly showing a production layout or flow.
- Key elements include double grippers, H-loader, cameras, cooling stations, and more, as indicated in the text description.
- **Key Insights**: The diagram visually supports the text by illustrating the physical setup of the described equipment and processes.
### 6. Product Analysis:
- **Described Products**: Includes H-loaders, double grippers, cooling stations, cameras, pallet bands, and protective housing for bands.
- **Details**:
- Functionality and purpose of each component, such as handling and processing tasks in production.
- Options for additional features and production support.
### 7. Anomaly Detection:
- **Unusual Elements**: None detected. The image appears standard for a technical presentation slide.
### 8. Color Analysis:
- **Dominant Colors**: Light green and blue tones in the diagram, with black and blue text. These colors are typically used for clarity and emphasis in technical documents.
- **Impact on Perception**: The light colors in the diagram help in distinguishing different components, while the text color emphasizes readability.
### 9. Perspective and Composition:
- **Perspective**: The diagram is presented in a straightforward, plan-view layout common in technical drawings.
- **Composition**: The diagram is on the left and text on the right, suggesting that the diagram supports or illustrates the textual content.
### 10. Contextual Significance:
- **Overall Context**: The image is likely part of a larger technical document, a presentation for engineering, manufacturing, or process planning.
- **Contribution to Message**: The combination of diagram and text provides comprehensive information about the equipment and processes, supporting technical understanding and decision-making.
### 11. Metadata Analysis:
- **Detected Metadata**:
- Slide title: "Skoda SSP MGH Automation"
- Date: 18.09.2024.
- **Contribution**: This information indicates the image's relevance and up-to-date context for the specified technical content.
### 13. Graph Numbers:
- **Data Points**: Not applicable, no specific graph data points provided.
### Additional Aspects:
#### Ablaufprozesse (Process Flows):
- **Description**: The flow within the diagram shows the progression of materials and operations through various stages of the machinery.
#### Prozessbeschreibungen (Process Descriptions):
- **Details**:
- Descriptions under MAG, Linie 1, Linie 2, and Skoda outline process steps and equipment functionalities in detail.
### Summary:
The image is a technical slide detailing equipment and processes in a manufacturing setup. It combines a technical diagram with descriptive text to give a comprehensive overview of machinery components, their functionalities, and options. The layout and composition ensure clarity and support for technical decision-making.
####################
File: 240910_Skoda_Automation_MGH_Portal_direkt.pptx
Page: 7
Context: # Portal Daten
## Portal Daten
**Horizontal**
- Vxmin = 3.5 m/s
- axmin = 3 m/s²
**Vertikal**
- Vmaxin = 1.5 m/s
- azmin = 3 m/s²
## Werkstückwechselzeiten
| Typ | Zeit |
|-----------------|---------------------|
| OP10 | < 23s - siehe Ref-Wechsel-Video VW KS Perf |
| OP20/30 | < 18s |
| SPECHT 500 DUO | Spindelstand (Werkstückstand) |
- **Überfahrhöhe**: xxx
- **Bandhöhe**: ca. 1.000 mm
Referenz: VW KS MGH Perf OP10
18.09.2024
Image Analysis:
### Image Analysis
#### Localization and Attribution
1. **Image 1**
- Position: Left side of the page
- Mainly text-based content with portaldaten, werkstückwechselzeiten, and other data.
2. **Image 2**
- Position: Right side of the page
- A visual image depicting some mechanical components or parts.
#### Object Detection and Classification
- **Image 2**
- Objects: Mechanical components, possibly parts of a machine or industrial equipment.
- Key Features: Metallic appearance, intricate parts (likely components of a larger industrial machine).
#### Scene and Activity Analysis
- **Image 1**
- Scene: Textual data presentation.
- Activities: Presentation of information such as portaldaten and werkstückwechselzeiten.
- **Image 2**
- Scene: Industrial setting, likely a machinery workshop or manufacturing plant.
- Activities: Display of mechanical parts, possibly indicating assembly or engineering processes.
#### Text Analysis
- **Image 1**
- Detected text:
- "Portaldaten"
Horizontal: Vxmin= 3,5 m/s, azmin= 3 m/s²
Vertikal: Vxmin= 1,5 m/s, azmin= 3 m/s²
- "Werkstückwechselzeiten"
OP10: <23s – siehe Ref-Wechsel-Video VW KS Perf
OP20/30: <18s
SPECHT 500 DUO: <20s
- "Spindelabstand (Werkstückabstand)" xxx
Bandhöhe ca. 1.000mm
- **Analysis**:
- The text presents operational data for machines. It describes portal speeds (both horizontal and vertical) and the times for workpiece changes in different operations.
- This data is crucial for understanding the efficiency and capabilities of the machinery depicted.
#### Color Analysis
- **Image 1**
- Dominant Colors: White background with green and blue text.
- Impact: Gives a clean, professional appearance suitable for technical data presentation.
- **Image 2**
- Dominant Colors: Metallic gray and white.
- Impact: Highlights the industrial and mechanical nature of the content.
#### Perspective and Composition
- **Image 1**
- Perspective: Front-facing, typical for text presentation.
- Composition: Text is left-aligned and followed a clear format highlighting important data points.
- **Image 2**
- Perspective: Slight angle from the side, focusing on the mechanical parts.
- Composition: The mechanical parts are centrally located, drawing attention directly to the machinery.
#### Contextual Significance
- The overall document appears to be a technical presentation or report, likely focused on machinery automation and performance data.
- The image with mechanical components supports the textual data, providing a visual reference to the discussed machinery.
#### Diagram and Chart Analysis
- No diagrams or charts detected.
#### Tables
- No tables detected.
### Summary
In this particular content:
- **Text Analysis** provides critical operational and performance data for machines.
- **Object Detection and Classification** emphasize industrial machinery.
- **Scene and Activity Analysis** situates the content within a manufacturing or industrial context.
- **Color Analysis**, **Perspective and Composition**, and **Contextual Significance** categories collectively showcase an organized, professional approach to presenting technical material.
This combined analysis helps convey important technical information effectively, using both textual and visual elements to ensure comprehension from various perspectives.
####################
File: 240910_Skoda_Automation_MGH_Portal_direkt.pptx
Page: 8
Context: # Werkstücklagen
## WST Lage auf RT-Band
- Seite 3 oben
- Seite 5 rechts
Werkstückabstand: 710 mm
## WST Lage auf FT-Band
- Seite 3 oben
- Seite 5 rechts
Werkstückabstand: 710 mm
| | OP10 | OP20/3 |
|------|------|--------|
| | | |
| | | |
18.09.2024
Skoda SSP MGH Automation
VDF Boehringer
Image Analysis:
### Comprehensive Examination of the Visual Content:
#### 1. Localization and Attribution
- **Image 1**: Top-left side includes a grayscale picture of an engine or a similar machinery part.
- **Image 2**: Directly below Image 1, another grayscale picture of an engine or similar machinery part.
- **Image 3**: The central part consists of a detailed schematic diagram showing machinery components and their arrangement on a production line.
- **Image 4**: Bottom-left, a section with labeled stations "OP10".
- **Image 5**: Center-bottom, a section labeled "OP20/30".
- **Image 6**: Bottom-right side, a detailed graphic showing two machinery parts connected or near each other.
#### 2. Object Detection and Classification
- **Image 1**: Machinery Part (likely an engine block), characterized by a complex structure with identifiable mechanical elements.
- **Image 2**: Similar Machinery Part with intricate details, resembling an engine block or heavy mechanical component.
- **Image 3**: Multiple Machinery Components on an Assembly Line, identified by stations and mechanical parts.
- **Image 4**: Diagram of an OP10 station, showing machinery components and their expected positions.
- **Image 5**: Diagram of an OP20/30 station, highlighting additional mechanical assemblies.
- **Image 6**: Connected Machinery Parts or components, exhibiting detailed features and connection points.
#### 3. Scene and Activity Analysis
- **Image 1 and 2**: Static images of machinery parts, no active processes.
- **Image 3**: Represents an assembly line process. It shows a sequential arrangement of parts along the line with operators or automated systems assembling machinery parts.
- **Image 4 and 5**: Represent specific sub-stations within an assembly line, detailing positions and steps for machinery part assembly.
- **Image 6**: Focuses on two machinery parts and their interaction or connection, likely part of a larger process of machinery assembly.
#### 4. Text Analysis
- **Highlighted Text**:
- "Werkstücklagen" (translated as "Workpiece Positions")
- "WST Lage auf RT-Band" indicates positions on running bands with specific instructions for Page 3 (top and right side, 710mm workpiece distance).
- "WST Lage auf FT-Band" provides similar instructions for another band with specific page references.
- Identifiable station labels such as "OP10" and "OP20/30", meaning specific operational steps in the production line.
#### 5. Diagram and Chart Analysis
- **Central Diagram (Image 3)**:
- Likely showing an automation line.
- **Axes**: Length of the production line (horizontal) and height or different stages (vertical).
- **Key Insights**: Step-by-step layout of machinery assembly. Positions marked help in accurate placement and movements within the production process.
#### 6. Product Analysis
- **Machinery Parts**:
- Likely engine components.
- Made of metal (typical gray-scale representation), detailed cavities, bolt positions, and connection points evident.
- **Color**: Grayscale for machinery parts, with some operational station diagrams in blue and green, indicating different process zones.
#### 7. Anomaly Detection
- No significant anomalies or unusual elements detected in the schematics or machinery diagrams. All components fit a typical industrial machinery assembly context.
#### 8. Color Analysis
- **Dominant Colors**: Grayscale machinery parts indicating metal.
- **Station Diagrams**: Blue and green, used to differentiate various sections and operational zones.
#### 9. Perspective and Composition
- **Perspective of Machinery Parts**: Front elevation and side views for detailed examination.
- **Diagram Composition**: Logical progression from left to right, illustrating the sequence of the assembly line.
- **OP10 and OP20/30** compositions provide detailed boundary boxes for parts placement.
#### 10. Contextual Significance
- **Overall Document**: This visual content likely pertains to a manufacturing or industrial automation guide, emphasizing workpiece positions and assembly steps.
- **Contribution to Message**: Provides technical details essential for accurate industrial machinery assembly and positioning, aiding in efficient workflow management.
#### 13. Graph Numbers
- **OP10 and OP20/30 Sections**:
- Include positional coordinates or measurements for parts placement (e.g., 710mm workpiece distance), vital for process precision.
#### Additional Aspects:
- **Typen Bezeichnung (Type Designations)**:
- OP10, OP20/30: Specific operational stages in the machinery assembly process.
- **Prozessbeschreibungen (Process Descriptions)**:
- Detailed views of workpiece positioning and operational steps in a manufacturing line. The document provides essential procedural guidance to industrial workers or engineers.
This comprehensive analysis identifies and describes key aspects of the provided visual content, focusing on its relevance to industrial automation processes.
####################
File: TZ_Linka%20obrabeni%20motorove%20skrine%20elektropohonu%20SSP%20v5_DE.pdf
Page: 1
Context: # TECHNICKÉ ZADÁNÍ
## LASTENHEFT
### Lastenheft-Gegenstand
**Version vom 23. 08. 2024**
**Bearbeitungslinie für Motorgehäuse für Elektroantrieb SSP**
---
| Vypracoval | Oddělení | Datum | Podpis | |
|------------|----------|-------|--------|------|
| G. Komarov | PPK-E | | | |
| Schválení | Oddělení | Datum | Podpis | |
|-----------|----------|-------|--------|------|
| R. Taneček | PPK-E | | | |
| Z. Nekola | PPK | | | |
| J. Paldus | PKG/1 | | | |
| R. Schrom | PKG/4 | | | |
| M. Kargl | PKT/42 | | | |
| M. Adamec | PKG/3 | | | |
| J. Johan | PKT/3 | | | |
| Z. Chytka | PKT/14 | | | |
| K. Tkášek | PKT/1 | | | |
| J. Cikler | GQH-1/4 | | | |
| M. Repš | GQH-3 | | | |
| J. Beneš | PKT/2 | | | |
| M. Janata | PSZ/11 | | | |
| R. Chudoba | PKT | | | |
| J. Nohej | PSU | | | |
---
**INTERNAL**
1/10
Image Analysis:
### Comprehensive Examination of the Image
### 1. Localization and Attribution:
- **Image 1:** This is the single image provided for analysis.
### 2. Object Detection and Classification:
- **Objects Detected:**
- Text blocks
- Tables
- Organizational logos
- Highlighted text
### 3. Scene and Activity Analysis:
- **Scene:**
- The image appears to be the first page of a technical document.
- The document header contains information about a project, including codes, dates, and contact information.
- Below the header is the main title of the document.
- The text highlights a version date in yellow.
- There is a table listing individuals and their signatures, department, and date.
### 4. Text Analysis:
- **Detected Text:**
- **Header:**
- Project Information: "LH-Gegenstand"
- Task: "Bearbeitungslinie für Motorgehäuse für Elektroantrieb SSP"
- Project Responsible: "G. Komarov"
- Version Date: "23. 08. 2024"
- Contact Information: "Telefon +420 78863527, +421905 14752"
- **Title:**
- Main Title: "TECHNICKÉ ZADÁNÍ"
- Subtitle: "LASTENHEFT"
- Section Title: "Lastenheft-Gegenstand"
- Document Title: "Bearbeitungslinie für Motorgehäuse für Elektroantrieb SSP"
- **Table:**
- Header: "Vypracoval Erarbeitet", "Oddělení Abteilung", "Datum", "Podpis Unterschrift"
- Name Entries: "G. Komarov", "R. Taneček", "Z. Nekola", etc.
- Department Entries: "PPK-E", "PPK", "PKG/1", etc.
- **Significance:**
- **Header Information:** Provides project context and contact details.
- **Version Date:** Indicates the current version of the document, important for version control.
- **Document Titles:** Define the scope and purpose of the document.
- **Table Entries:** Show the distribution of responsibility and approval process for the document contents.
### 7. Anomaly Detection:
- **Unusual Elements:**
- There is noticeable yellow highlighting on the version date, drawing attention to version control.
### 8. Color Analysis:
- **Color Composition:**
- Dominant colors are black and white.
- Yellow is used for highlighting the version date, indicating its importance.
### 9. Perspective and Composition:
- **Perspective:**
- The image was taken from a standard, straight-on perspective, typical for documents.
- **Composition:**
- Structured with clear sections: header, title, table.
### 14. Trend and Interpretation:
- **Highlight Trend:**
- The use of color to draw attention to crucial details (like version dates) is a common technique in documentation for easy identification.
### Abschluss:
The image presents a structured, professional document with clear segregation of information. Key details such as project scope, version date, and responsible individuals are highlighted for clarity. The color usage is minimalistic but effective in drawing attention to critical information. The detailed table provides transparency in the approval and responsibility distribution across different individuals and departments.
####################
File: TZ_Linka%20obrabeni%20motorove%20skrine%20elektropohonu%20SSP%20v5_DE.pdf
Page: 2
Context: # 1. Vergegenstand
Bearbeitungslinie für Motorgehäuse für Elektroantrieb SSP.
## 2. Angaben über das zu bearbeitende Bauteil
**Bauteil:** Motorgehäuse SSP HA LK3.4
**Zeichnungsnummer:** QOA.901.108
**Gewicht des bearbeiteten Teils:** 14,975 kg (davon die Lagerbuchse 0,369 kg)
**Rohtleidgewicht:** ca 18 kg
**Material:** Gehäuse QOA 901 108 EN A6 – 46000 – AISi9Cu3 (Fe)
**Lagerbuchse:** QOA 901 261 A DIN 30910-SINT-D-11
**Grundmaße:** siehe Zeichnung
## 3. Geforderte Anlagenfunktionen
3.1. Bearbeitung des Gussteils gemäß der Zeichnung QOA_901_108-sstpha_mg_ftz (siehe Anlage Nr. 8).
3.2. Eingangsstand des Teils – Gussteil (Hochdruckguss) – siehe 3D Daten (Anlage Nr. 7). Die Zeichnung des Gussteils ist noch nicht verfügbar und wird später erstellt. Allgemein kann man mit den Toleranzen des Gussteils nach ISO 8062-3 - DCTG7 - GCTG3 rechnen.
3.3. Ausgangsstand des Teils – bearbeitetes Teil – siehe Zeichnung (Anlage Nr. 8).
3.4. Das Prozessablaufschema und der Lieferumfang siehe Anlage 5.
## 4. Forderungen auf die Anlagenausführung
4.1. Modulare Linie der Bearbeitungszentren, verkettet durch ein Portal. Die Bearbeitungszentren (Module) und das Portal werden schrittweise nach dem Zeitplan gebaut – siehe Punkt Nr. 7.
4.2. Die Linie soll über SPC-Stellen verfügen, damit die Teile nach jeder Arbeitsfolge zur Messung entnommen und wieder in den Strom eingelegt werden können.
4.3. Der Transport des Teils zum Übergebepunkt unter dem Portal erfolgt über ein Förderband mit Spannvorrichtungen. Positionierung des Teils auf der Transportvorrichtung gemäß den Empfehlungen des Lieferanten der Linie und den technischen Möglichkeiten des Verkehrslieferanten.
### Die Schnittstelle zwischen der ML und der Verkettung vor und nach der Linie:
- **Ladevorrichtung** – im Lieferumfang des Lieferanten der ML
- **Förderer** – im Lieferumfang Škoda Auto a.s.
Image Analysis:
### Analysis of the Visual Content
#### **Localization and Attribution:**
- There is one page in the document.
- The page contains multiple elements including text and one diagram.
#### **Text Analysis:**
1. **Document Header Information:**
- **Title:** "Bearbeitungslinie für Motorgehäuse für Elektronatrieb SSP" (Processing line for motor housings for electric drive SSP)
- **Project Information:** Includes project identifier codes (P3C-K Finanzun voštly poskiavenat) and contact information.
- **Contact Details:** Two phone numbers are provided.
2. **Main Sections and Headlines:**
- **1. Vergabegegenstand:** Description of the project task, which involves the processing line for motor housings for electric drive SSP.
- **2. Angaben über das zu bearbeitende Bauteil:** Information about the component to be processed:
- **Bauteil:** Motor housing SSP HA LK3,4
- **Zeichnungsnummer:** QOA.901.108 (Drawing number)
- **Gewicht des bearbeiteten Teils:** 14.975 kg (Weight of the processed part)
- **Material:** Gh Gehäuse QOA 901 108
- **3. Geforderte Anlagenfunktionen:** Required system functions for the processing line focused primarily on the handling of cast parts according to specific drawings and standards.
- **4. Forderungen auf die Anlagenausführung:** Requirements for the plant setup, including modular lines and transport systems.
3. **Highlighted Text:**
- **Yellow Highlight:** Important steps involving the processing centers (modules) and the portal, which must be built according to a schedule.
- **Green Highlight:** "Ladevorrichtung – im Lieferumfang des Lieferanten der ML" (Loading device – within the scope of supply of the supplier of the ML)
- **Orange Highlight:** "Förderer – im Lieferumfang Škoda Auto a.s." (Conveyor – within the scope of supply of Škoda Auto a.s.)
#### **Diagram and Chart Analysis:**
- **Diagram:**
- The diagram appears to be a layout of the processing line, showing different stations and modules.
- **Legend:**
- Yellow blocks represent items in the supplier's scope (Ladevorrichtung).
- Green blocks represent items in Škoda Auto a.s.'s scope (Förderer).
#### **Color Analysis:**
- **Dominant Colors:**
- The dominant text colors are black and grey.
- The highlighted areas appear in yellow, green, and orange, drawing attention to critical information.
- **Impact:**
- The highlighted colors are used effectively to direct attention to key procedural steps and roles.
#### **Perspective and Composition:**
- **Perspective:**
- The diagram is presented in a 2D layout plan view.
- **Composition:**
- The page is organized into sections with headings and respective content, facilitating a clear and logical flow of information.
- The diagram is centrally placed under the relevant section to visually support the textual content.
#### **Contextual Significance:**
- **Overall Significance:**
- The document appears to be a technical specification or project outline detailing the requirements and setup of a processing line for motor housings.
- The highlighted sections and diagrams aid in understanding the critical aspects of the project execution.
### Summary
The visual content primarily consists of a structured technical document outlining the project requirements for a processing line for motor housings. It includes key textual information, data on the parts, and a diagram illustrating the layout and modules involved. Highlighted colors emphasize critical aspects related to procedural steps and responsibilities.
####################
File: TZ_Linka%20obrabeni%20motorove%20skrine%20elektropohonu%20SSP%20v5_DE.pdf
Page: 3
Context: # Bearbeitungslinie für Motorgehäuse für Elektromotoren SSP
**4.4** Die Bearbeitung (der ganze Prozess) wird mittels Kühlflüssigkeit (Emulsion) bevorzugt und empfohlen - Spezifikation der Emulsion nach Škoda
## 4.4.1 Preisgestaltung der Schnittstelle mit der Emulsionszentrale (Lieferung der Emulsionszentrale seitens Škoda Auto a.s.)
**Spezifikation der erforderlichen Emulsionsmenge (l/min)**
| | BAZ | BAZ | BAZ | BAZ | BAZ |
|----|-----|-----|-----|-----|-----|
| KSS| | | | | |
- im Lieferumfang des Lieferanten
- im Lieferumfang Škoda Auto a.s.
## 4.4.2 OPTION zu jeder Maschine die Filtrieranlage und Temperieremulsion + Spänetransport mittels Förderer anbieten (Höhe des Späneträgers 1.500 mm)
| | BAZ | BAZ | BAZ | BAZ | BAZ |
|----|-----|-----|-----|-----|-----|
| KSS| | | | | |
- im Lieferumfang des Lieferanten
- im Lieferumfang Škoda Auto a.s.
**4.5 OPTION die Variante der Kombination MMS und KSS anbieten**
### 4.5.1 Operation Vorbehandlung:
- Es wird die Minimalmischrechnologie (MMS/MQL) eingesetzt
- Spänetransport mittels Förderer (Höhe des Späneträgers 1.500 mm)
### 4.5.2 Operation Feinbearbeitung:
- unter Kühlflüssigkeit (für jedes Zentrum eine Anlage zum Filtrieren und Temperieren der Emulsion anbieten)
- Spänetransport mittels Förderer (Höhe des Späneträgers 1.500 mm)
Image Analysis:
**1. Localization and Attribution:**
- **Image 1:**
- Positioned at the top of the page.
- Number assigned: Image 1.
- **Image 2:**
- Positioned in the middle of the page.
- Number assigned: Image 2.
3. **Scene and Activity Analysis:**
- **Image 1:**
- Scene: This image depicts a diagram indicating "Spezifikation der erforderlichen Emulsionsmenge (l/min)" for different processes within a centralized emulsion location.
- Activities: The diagram outlines the distribution and quantity of emulsion required.
- **Image 2:**
- Scene: This image presents another diagram, depicting a combination of MMS and KSS for different operations, with specifications for both systems under "Operation Feinbearbeitung".
- Activities: The flow and distribution of the emulsion and transport heights for spanner trays are outlined.
4. **Text Analysis:**
- **Image 1:**
- Text Detected: "Spezifikation der erforderlichen Emulsionsmenge (l/min)"
- Content Analysis: Details the required emulsion quantity in liters per minute for various sections designated in blue and grey.
- **Image 2:**
- Text Detected: "MMS Erstschnitt KSS Feinbearbeitung"
- Content Analysis: Specifies the operation preparation and finish, highlighting the use of minimal lubrication technology and coolants in the process.
5. **Diagram and Chart Analysis:**
- **Image 1:**
- Data: Shows emulsion distribution across "BAZ L" and "BAZ R" systems.
- Key Insight: Specifies emulsion levels for each section while indicating different entities involved in receiving the supply.
- **Image 2:**
- Data: Illustrates two operations—preparation (Erstschnitt) and fine processing (Feinbearbeitung)—with corresponding emulsion requirements.
- Key Insight: Emphasizes the combined usage of MMS and KSS technologies, targeting efficiency and spanner transport systems.
13. **Graph Numbers:**
- **Image 1:**
- Each section is labeled with specific emulsion amounts; however, exact numerical values may need extraction or further clarification from a high-quality image to capture the text precisely if not clear at this scale.
- **Image 2:**
- Similar detailing as Image 1 with further emphasis on operational stages requiring identical numeric analysis for precise emulsion and transport values.
**Additional Aspects to Include:**
- **Prozessbeschreibungen (Process Descriptions):**
- **Image 1:** Detailed process descriptions for centralized emulsion distribution ensuring optimized supply for various operational setups.
- **Image 2:** Elaborate on specific processes using the combination of MMS and KSS technologies to enhance precision, efficiency, and overall performance.
- **Typen Bezeichnung (Type Designations):**
- Identification of machine types, BAZ L and BAZ R, and specific designations for the emulsion supply systems.
**Annotations:**
- The diagrams collectively deliver a comprehensive view of operational precision and fluid requirements, focusing on advanced lubrication and cooling systems pivotal for high-efficiency mechanical processes.
####################
File: TZ_Linka%20obrabeni%20motorove%20skrine%20elektropohonu%20SSP%20v5_DE.pdf
Page: 4
Context: # 4.6
Die Maschinen sollen für den Anschluss von der oberen Seite an die Absaug- und Filtrationsanlage vorbereitet sein. Die Absaug- und Filtrationsanlage richtet sich zum Lieferumfang und wird von ŠKODA AUTO AG geliefert. Festlegung erforderlicher Leistung / Menge der Abluft (m³/h).
## 4.7
OPTION die Absaugung und Filtration inkl. Rohrleitung anbieten.
## 4.8
Abnahme nach TGS 02.09 und VVV 101 30 – siehe Anlagen Nr. 10 und 11.
## 4.9
Erforderliches Spannungsschiene siehe Anlage Nr. 14.
## 4.10
Steuerung Siemens – Anforderungen für Steuerung siehe Anlage Nr. 6.
## 4.11
Am Anfang der ML müssen sich 2 stationäre Kameras zum Lesen von DMC-Codes von Teilen befinden, ein manuelles DMC-Lesegerät an jedem SPC Standard.
# 5. Weitere Anforderungen
5.1 Bestimmen Sie den kürzestmöglichen Liefertermin von 50 bearbeiteten und gemessenen Mustern, die der technischen Dokumentation entsprechen, ab dem Zeitpunkt der Bestellung des Auftraggegendstandes. Veranlassung des Terminsplans für die Zustellung von Mustern und diese in einem separaten Posten preisgestalten.
5.2 OPTION Werkzeug für 1 Maschine/OP nach ITS 3.10.
5.3 OPTION Unterstützung nach Übergabe der Inbetriebnahme im Umfang von 1 Arbeiter/1 Woche anbieten.
5.4 OPTION Schulung anbieten.
5.5 Abschätzung der Standzeit von Werkzeugen und Kosten pro Stück für die Lagerbuchsenbearbeitungswerkzeuge.
# 6. Forderungen auf die Anlagenleistung
| Parameter | Wert |
|------------------------------------|----------------------|
| Kapazität | 232 000 Stck./Jahr |
| Taktzeit der ML | 75 s |
| Tägliche Arbeitszeit | 22,5 Std. |
| Arbeitstage pro Jahr | 250 Tage |
| Technische Verfügbarkeit | 86% |
| Ausschussquote | 0% |
| Prozessstabilität – bewertete Parameter | Siehe ITS ŠKODA Auto Standards |
| OPTION - 2. ML mit gleicher Kapazität siehe Layout in der Anlage Nr. 3 |
# 7. Terminplan
| Activity | 2024 | 2025 | 2026 |
|-----------------------------------|---------|---------|--------|
| Bestellungen | 01/25 | A 14/26 | |
| Lieferung, Inbetriebnahme und Übergabe | A 18/26 | A 27/26 | |
| TBT-PVS | | | |
| PVS | | | |
| Nullierung | | | |
| 2 Tage Produktion | 05/27 | | |
| SOP | 07/27 | 11/27 | |
Image Analysis:
### Comprehensive Examination of the Visual Content
#### 1. Localization and Attribution
1. **Localization and Attribution**:
- **Image 1**: Positioned occupying the full width on the top section of the page.
- **Image 2**: A table positioned in the middle section of the page.
- **Image 3**: A timeline chart located at the bottom section of the page.
#### 2. Object Detection and Classification
**Image 1**:
- **Objects**: Text, numbered items, logos, headers.
- **Categories**: Textual content and graphical elements.
- **Key Features**: The image primarily consists of a numbered list (4.6 to 4.11), with highlighted text in yellow.
**Image 2**:
- **Objects**: Table with rows and columns of text/numbers.
- **Categories**: Table data, including categories such as capacity, takt time, daily working time, etc.
- **Key Features**: Key data points such as 'Kapazität' and 'Taktzeit der ML' are outlined.
**Image 3**:
- **Objects**: Timeline chart with activities labeled along with a time axis.
- **Categories**: Activity schedule chart.
- **Key Features**: The chart displays a timeline from 2024 to 2027, with specific activities marked along different time points.
#### 3. Scene and Activity Analysis
**Image 1**:
- **Scene**: A continuation of a procedural or requirement document.
- **Activities**: Listing of equipment and operational specifications.
- **Main Actors**: Equipment (e.g., 'TGS 02.09 und VW 101 30') and operations (e.g., absorption, filtration).
**Image 3**:
- **Scene**: A project management or scheduling chart.
- **Activities**: Outlining various project milestones over time.
- **Main Actors**: Activities related to deliveries, start-up, and operation shifts.
#### 4. Text Analysis
**Image 1**:
- **Text**: Procedural steps and technical requirements.
- **Significance**: Defines specific equipment requirements and operational procedures, critical for ensuring compliance and operational efficiency in a manufacturing context.
**Image 2**:
- **Text**:
- Kapazität: 232 000 Stck./Jahr
- Taktzeit der ML: 75 s
- Tägliche Arbeitszeit: 22,5 Std.
- Arbeitstage pro Jahr: 250 Tage
- Technische Verwendbarkeit: 86%
- Ausschussquote: 0%
- **Significance**: Provides technical specifications and operational parameters necessary for manufacturing productivity.
**Image 3**:
- **Text**:
- Activity List (e.g., Bestellungen, Lieferung, etc.)
- Timeline from 2024 to 2027 with specific dates marked.
- **Significance**: Essential for project planning and ensuring all project phases are completed on schedule.
#### 6. Product Analysis
**Image 2**: Describes the system's capacity and parameters crucial for ensuring manufacturing systems operate within specifications to maximize productivity and minimize waste.
#### 7. Anomaly Detection
**Image 2**:
- **Anomaly**: No major anomalies detected. The data is structured and logically organized.
#### 10. Contextual Significance
**Image 1**:
- **Context**: Detailed operational requirements are crucial for ensuring proper equipment setup and operation within the logical flow of the document. The detailed instructions and options highlighted in yellow suggest important action points.
**Image 3**:
- **Context**: Scheduling and project management information crucial for systematic project execution. This contributes significantly to planning and tracking progress over time.
#### 12. Graph and Trend Analysis
**Image 3**:
- **Trends**: Depicts phases of activities and milestones spaced out chronologically. Key milestones such as project starts, delivery dates, and completion markers provide a clear roadmap.
- **Interpretation**: Highlights the systematic progression of projects over the years with specific pivotal dates for various operational activities.
#### 13. Graph Numbers
**Image 3**:
- **Data Points**: Table of activities and respective timelines for 2024-2027:
- Lieferung, Inbetriebnahme und Übergabe: A - 01/25
- 1xBAZ Pro OP + komplette Automatisierung: A - 14/26
- TBT-PVS: A - 18/26
- PVS: A - 27/26
- Nullserie: A - 47/26
- Lieferung, Inbetriebnahme und Übergabe getestet BAZ für erforderliche Kapazität: A - 05/27
- 2 Tage Produktion: A - 07/27
- SOP: A - 11/27
By comprehensively covering each specified aspect, the examination of the visual content provides a detailed understanding of the document’s structure, its technical requirements, timelines, and operational parameters critical to the manufacturing and project management processes.
####################
File: TZ_Linka%20obrabeni%20motorove%20skrine%20elektropohonu%20SSP%20v5_DE.pdf
Page: 5
Context: ```markdown
# 8. Sonstiges
- Sämtliche betriebstechnischen Parameter müssen die Betriebsvorschriften ITS Škoda Auto sowie die Sicherheitsnormen CSN erfüllen.
- Der Lieferant hat alle Konstruktionen und technischen Lösungen noch vor dem Beginn der Herstellung mit den Fachbereichen ŠKODA AUTO AG zu konsultieren und genehmigen lassen.
- Garantie mindestens 24 Monate im 3-Schicht-Betrieb.
- Mit dem Angebot ist ein 2D-Layout in den Formaten PDF und DWG vorzulegen.
- Baufundament, Medienanschlüsse bis zum Hauptverbraucher an der Grenze des Arbeitsplates stellt Škoda bereit. Die restlichen Vertailungen besorgt der Auftragnehmer.
- Komplette Projektunterlagen wird der Lieferant 1 Monat nach Vertragsabschluss liefern.
- Die erste Betriebsoffnung zum Schmiren der Anlage gehört zum Lieferumfang.
- Das Werkzeug wird anhand der Unterlagen des Maschinenherstellers und der gegenseitigen Abstimmung von Škoda sichergestellt.
- Dokumentation in tschechischer Sprache gemäß ITS ŠKODA (2 Ausdrücke + 1 digitale Form + Erklärung über den ordnungsgemäßen Erwerb von Softwarelizenzen).
- Um einen Vertrag zu erhalten, ist eine Vertraulichkeitsvereinbarung (NDA-Vertrag mit ŠKODA AUTO AG) und eine entsprechende TISAX-Zertifizierung erforderlich.
- Lieferbedingungen DDU DAP (einschließliche Zusammenlegung, Vermessung und Anbringung vor Ort).
# 9. Anlagen
1. ITS/Betriebsmittelvorschriften ŠKODA AUTO a.s.: [ITS/Betriebsmittelvorschriften](https://its.volkswagen.de/one-kbp/content/es/kbp_private/information_1/divisions/procurement/terms_and_conditions_of_purchase/new_koda_auto_as_4/koda_auto_a_s.jsp)
2. Energie Škoda - separate Datei
3. Stiuerung in der Halle
4. Visualisierung der Teile, Grundmaße
5. Schema des technologischen Prozesses
6. Unterlage Solutions für Powertrain Volkswagen Group Components Global Differenzbeschreibung - per separate Datei
7. 3D Daten von Gussstück und des bearbeiteten Teils - werden per Ebox zugesandt
8. Zeichnungen des bearbeiteten Teiles - per separate Datei
9. Interne Richtlinie der Komponenten - per separate Datei
10. Norm TQS 02.09 - separate Datei
11. Norm VW 101 30
12. Norm WSK 016_862_G (Anforderungen zu Dichtungsflächen)
13. Kapazitätsanforderungen in Jahren
14. Erforderliches Schema der Spannung - separate Datei
```
Image Analysis:
**Image Analysis**
1. **Localization and Attribution:**
- The image is a single page document positioned centrally on the page.
- Identified as Image 1.
2. **Text Analysis:**
- The image features sections of text in German, numbered headings, and bullet points with detailed information.
- Key sections highlighted in yellow for emphasis.
**Text Analysis Details:**
- **Headings:**
- **8. Sonstiges (Miscellaneous):**
This section outlines various technical parameters that must be adhered to, including safety standards, warranty details, documentation requirements, and delivery conditions.
- **9. Anlagen (Attachments):**
This section lists various types of attachment documents, links, and Norm references required.
- **Highlighted parts include:**
- "Das Werkzeug wird anhand der Unterlagen des Maschinenherstellers und der gegenseitigen Abstimmung von Skoda sichergestellt" (The tool is ensured based on the documents from the machine manufacturer and mutual agreement with Skoda).
- "Dokumentation in tschechischer Sprache gemäß ITS ŠKODA" (Documentation in Czech language according to ITS ŠKODA).
- Delivery conditions: "Lieferbedingungen DDU" (Delivery terms DDU) and "DAP (inklusiver Zusammenlegung, Vermessung und Anbringung vor Ort)" (DAP including consolidation, measurement, and on-site installation).
- **Links:**
- A URL is provided for terms and conditions of purchase for SKODA AUTO a.s.
- **List of Attachments:**
- The attachments include a variety of documents like technical norms (Normen), visualizations (Visualisierung), situating documents (Situierung), schematic processes (Schema des technologischen Prozesses), and documentation related to specific technical requirements and guidelines.
**Current Segmentation and Analysis:**
- **Bullet Points:** Expand upon specific responsibilities and processes, emphasizing construction, technical solutions, warranty, project documentation, and operational supplies.
**Highlighted Sections (Color Analysis and Impact):**
- The use of yellow highlights stresses important parts of the information.
- Green-highlighted text emphasizes specific tools or processes essential for understanding technical documentation.
**Contextual Significance:**
- The document appears to be part of a technical manual or guideline related to the operational and documentation processes for SKODA AUTO, indicating operational standards and necessary compliances. This communicates thoroughness and emphasis on adhering to standards and regulatory requirements.
**Perspective and Composition:**
- The composition is straightforward, listing detailed instructions and hyperlinks in a structured format meant for clarity.
- The highlighted sections ensure critical information stands out for quick reference.
By examining these key details, it can be inferred that the document is vital for providing technical guidelines and ensuring compliance with industry standards and internal processes at SKODA AUTO.
####################
File: TZ_Linka%20obrabeni%20motorove%20skrine%20elektropohonu%20SSP%20v5_DE.pdf
Page: 6
Context: # 10. Kontaktperson
**Ing. Georgy Komarov, PPK-E – Plánování výroby polotovarů**
ŠKODA AUTO a.s., tř. Václava Klementa 869, 293 01 Mladá Boleslav II, Czech Republic
M: +420 730 865 237
[Georgy.Komarov@skoda-auto.cz](mailto:Georgy.Komarov@skoda-auto.cz), [www.skoda-auto.com](http://www.skoda-auto.com)
---
**Ing. Roman Tanáček, PPK-E – Plánování výroby polotovarů**
ŠKODA AUTO a.s., tř. Václava Klementa 869, 293 60 Mladá Boleslav, Czech Republic
T: +420 326 8 14752, F: +420 326 8 17720, E: +420 326 8 45848, M: +420 604 292 729
[Roman.Tanecek@skoda-auto.cz](mailto:Roman.Tanecek@skoda-auto.cz), [www.skoda-auto.com](http://www.skoda-auto.com)
Image Analysis:
### Image Analysis
#### Text Analysis:
**Image Number**: 1
1. **Detected Text and Significance**:
- The text in the image provides contact information for two individuals associated with a company:
- **Ing. Georgy Komarov, PPK-E – Plánování výroby polotovarů**
- **Company:** ŠKODA AUTO a.s., tř. Václava Klementa 869, 293 01 Mladá Boleslav II, Czech Republic
- **Phone:** M +420 730 865 237
- **Email:** Georgy.Komarov@skoda-auto.cz
- **Website:** www.skoda-auto.com
- **Ing. Roman Taneček, PPK-E – Plánování výroby polotovarů**
- **Company:** ŠKODA AUTO a.s., tř. Václava Klementa 869, 293 60 Mladá Boleslav, Czech Republic
- **Phone:** T +420 326 8 14752, F +420 326 8 17720, ef +420 326 8 45848, M +420 604 292 729
- **Email:** Roman.Tanecek@skoda-auto.cz
- **Website:** www.skoda-auto.com
- The text content is crucial for establishing contact with specific individuals related to the planning of the production of semi-finished products at ŠKODA AUTO. It offers detailed contact options including physical address, phone numbers, emails, and the website, which is essential for communication within a professional or business context.
#### Localization and Attribution:
- **Number of Images**: There is only 1 image described.
- **Content Location**: The image predominantly features text with details aligned at the top left, right top, center, and bottom-left sections of the page.
### Contextual Significance:
- The image is part of a larger document likely related to business procedures, organizational communication, or process documentation for ŠKODA AUTO. The contact details provided serve as a significant point of reference for stakeholders or team members needing to reach out to key personnel in the planning department of the production unit.
### Anomaly Detection:
- No noticeable anomalies are present in the image. The text is straightforward and clear, with no unusual elements detected.
### Color Analysis:
- **Dominant Colors**:
- The text content is written in black on a white background.
- There are some elements in orange and blue (email addresses and URLs).
- These color choices ensure high readability and a professional appearance.
### Perspective and Composition:
- **Perspective**:
- The document is presented from a straight-on view, typical for official documents.
- **Composition**:
- Text is neatly organized, with headers properly formatted.
- Contact information is clearly segmented, making it easy to locate and read specific details.
### Diagram and Chart Analysis:
- There are no diagrams or charts in this image.
### Tables:
- There are no tables in this image.
### Summary:
The provided image is a section of a document containing contact information for key personnel at ŠKODA AUTO. The details are well-organized and provide essential communication lines for individuals involved in the planning and production departments. The clean and professional design enhances readability, ensuring the information is accessible and easily understood.
####################
File: TZ_Linka%20obrabeni%20motorove%20skrine%20elektropohonu%20SSP%20v5_DE.pdf
Page: 7
Context: # Anlage Nr. 3 – Situierung in der Halle
Die Bearbeitungslinie ist blau markiert. Voraussichtliche Maße der Bearbeitungslinie betragen ca. 15 m x 40 m.
- **Projektnummer:** SSP
- **Kunde:** Miele Bielefeld
- **Projektleitung:** Konstruktionsleitung Tzankov
- **Tel.:** +49 7368 62337
- **Tel.:** +49 152 384 14752
## Übersicht der Bereiche
| Bereich | Beschreibung |
|--------------------------- |-----------------------------------|
| AF50 Mechanische Bearbeitung | OPTION |
| AF50 Mechanische Bearbeitung | |
| AF55 Waschen | |
| AF85 Endkontrolle | |
| AF80 Leckstellen Stopen | Diesenmontage |
| Automatische Palettierung | Verpacken und Entladung |
| Automatisches Depalettieren | |
Image Analysis:
### 1. Localization and Attribution:
- The content comprises a single image detailing a floor plan diagram. For the purpose of this analysis, it will be referred to as **"Image 1."**
### 2. Object Detection and Classification:
- **Objects Detected:**
- **Machines/Workstations:**
- **AF50 Mechanische Bearbeitung OPTION**
- **AF50 Mechanische Bearbeitung**
- **AF55 Waschen**
- **AF85 Endkontrolle**
- **AF80 Lecktesten Stopfen und Demontage**
- **Depalletizing Area:** labeled "automatische Depalettierung"
- **Palletizing Area:** labeled "Automatische Palettierung Verpacken und Umreifen"
- **Conveyor Belts/Pipeline:** connecting the various workstations
- **Shelving/Racks:** positioned at the edges, likely for storage
- **An outline of a person or worker:** shown in a standing posture near the depalletizing area
### 3. Scene and Activity Analysis:
- **Description of Scene:**
- The image depicts a detailed layout of a manufacturing or assembly hall.
- **Activities:**
- **Mechanical Processing:** in areas labeled "Mechanische Bearbeitung"
- **Washing Station:** designated as AF55 Waschen
- **Testing:** AF80 Lecktesten for leakage testing
- **Inspection or Final Check:** AF85 Endkontrolle
- **Packaging and Palletizing:** areas for automatic operations
### 4. Text Analysis:
- **Detected text:**
- **Project Details and Contact Information:**
- Listed in the upper left corner. Project Name, Project Number, Customer, etc.
- **Title:**
- "Anlage Nr. 3 – Situierung in der Halle" which translates to "System No. 3 - Location in the Hall"
- **Description:**
- "Die Bearbeitungslinie ist blau markiert. Voraussichtliche Maße der Bearbeitungslinie betragen ca. 15 m x 40 m." translates in brief to the processing line is highlighted in blue with an approximate size of 15 m x 40 m.
### 5. Diagram and Chart Analysis:
- **Diagram Layout:**
- A floor plan with different workstation sections designated by different colors.
- **Axial Measurements:**
- Length (~40m) and width (~15m) of the blue-marked processing line
- **Data and Trends:**
- The map represents a workflow from depalletizing to mechanical processing, washing, leak testing, final inspection, and packaging.
### 6. Product Analysis:
- **Workstations and Machinery:**
- Each colored section appears to contain specific machinery or stations tailored for different operations.
- Blue areas show dense workstations likely indicative of high activity.
### 7. Anomaly Detection:
- **Identified Anomalies:**
- No significant anomalies detected.
### 8. Color Analysis:
- **Dominant Colors:**
- Blue: Represents the primary processing line.
- Green: Represents washing stations.
- Red: Represents final inspection.
- Yellow: Depalletizing and palletizing areas.
- **Impact:**
- Color coding helps in quickly identifying different sections and understanding their function within the production flow.
### 9. Perspective and Composition:
- **Perspective:**
- Top-down view, commonly known as the bird’s eye view.
- **Composition:**
- The floor plan is well-organized with clearly defined areas showing a logical sequence in the workflow.
### 10. Contextual Significance:
- **Overall Contribution:**
- Provides a clear visual representation of the layout and workflow within a manufacturing hall, likely aiming to guide workers or illustrate process planning.
### 13. Graph Numbers:
- **Graph Measurements:**
- The processing line area dimensions: Length ~40m, Width ~15m.
### Additional Aspects:
- **Ablaufprozesse (Process Flows):**
- The diagram illustrates a sequential flow starting from depalletizing, followed by mechanical processing, washing, testing, final inspection, and palletizing.
- **Prozessbeschreibungen (Process Descriptions):**
- The detailed steps involved in each section are likely described internally within the company but are implied in the workflow chart.
### Summary:
The provided image depicts a detailed and color-coded flow plan of a manufacturing hall designated for various stages of product processing, from the initial depalletizing stage to the final packaging and palletizing. The rich detail, clear text, and structured layout facilitate an easy understanding of the process flow and station functions.
####################
File: TZ_Linka%20obrabeni%20motorove%20skrine%20elektropohonu%20SSP%20v5_DE.pdf
Page: 8
Context: # Anlage Nr. 4 – Visualisierung der Teile, Grundmaße
## Gusstück
### Maße
- Höhe: 1534.680 mm
- Breite: 468.850 mm
- Länge: 569.681 mm
## Bearbeitetes Teil
### Maße
- Höhe: 1532.232 mm
- Breite: 492.705 mm
- Länge: 569.681 mm
---
**Projekt:** SSP
**Mitglieder:** Milos Bulić
**Klasse-Nr.:** HBSR6R2O4
**Dezernat:** 4313 324
**Teile:**
- Tel.: +49 736896237
- +49 1528 14752
---
8/10
INTERNAL
Image Analysis:
### Analysis of the Visual Content
#### 1. Localization and Attribution
- **Image 1**: Located on the left side of the page.
- **Image 2**: Located on the right side of the page.
#### 2. Object Detection and Classification
- **Image 1:**
- **Object**: A car engine housing component.
- **Key Features**: The object is detailed with various industrial elements, including bolt holes, and ridges.
- **Image 2:**
- **Object**: A modified or processed version of the car engine housing component in Image 1.
- **Key Features**: Additional modifications highlighted in blue, showing areas that have been machined or altered.
#### 3. Scene and Activity Analysis
- **Image 1 (Gusstück)**: This image displays an unprocessed car engine housing part, providing a visual representation of the part before any machining or adjustments have been made.
- **Image 2 (Bearbeitetes Teil)**: This image shows the same car engine housing part after it has been machined. The blue highlighted areas indicate areas that have been processed.
#### 4. Text Analysis
- **Image 1 & 2 Text**:
- "Gusstück" (Left Image): Indicates the component in its raw or cast form.
- "Bearbeitetes Teil" (Right Image): Indicates the component after machining.
- Various dimensions are labeled in both images (e.g., 438.480 mm, 343.685 mm, 345.220 mm), highlighting critical measurements of the component in both its raw and machined states.
#### 6. Product Analysis
- **Product Description**:
- **Material**: Likely metal, given the context of engine housing.
- **Color**: Grey for the base part with blue highlights indicating machined areas in the processed component.
- **Features**: The machined component has precise dimensions indicated with labels, compared to the raw cast component.
- **Comparison**:
- The primary differences between the raw and machined components are the blue-highlighted areas in the machined image, indicating the specific regions that have been processed.
- Both show dimensions to provide an understanding of the size changes due to machining.
#### 8. Color Analysis
- The dominant color in both images is grey, typical of metal parts. The machined component features blue edges/highlights, indicating areas that have been processed.
#### 9. Perspective and Composition
- The images are presented in an isometric view, providing a three-dimensional perspective that allows for a detailed view of the complex geometries.
- **Composition**:
- Both components are centered in their respective frames.
- The dimensions are clearly highlighted with colored lines and labels for clarity.
### Summary:
This document page appears to be part of a technical manual or report detailing the specifications and modifications of an automotive engine housing component. The visualization contrasts the raw cast part with the machined version, highlighting key dimensions and areas of modification. The use of color and detailed labeling aids in understanding the extent and specific locations of the modifications.
####################
File: TZ_Linka%20obrabeni%20motorove%20skrine%20elektropohonu%20SSP%20v5_DE.pdf
Page: 9
Context: # Anlage Nr. 5 – Schema des technologischen Prozesses
## Giessen
- **AF2:** Schmelzen
- **AF5:** Giessen inkl. Lagerbuchse
- **AF20:** Strahlen
- **AF50:** Fertigbearbeitung
## Endoperationen
- **AF5:** Waschen
- **AF80:** Lecktesten / Stopfen / Disemontage
- **AF85:** Endkontrolle
Die Anzahl der Bearbeitungszentren ist schematisch dargestellt.
| | |
|---|---|
| Mimo rozsah dodávky | Rosah dodávky dle TZ |
Image Analysis:
### 1. Localization and Attribution
- **Image 1**: Identified and analyzed the single image present.
### 2. Object Detection and Classification
- **Image 1**: Several rectangular blocks representing different phases in a technological process, dotted lines indicating optional processes, and arrows indicating the process flow.
### 4. Text Analysis
- The image contains various labels corresponding to stages and operations within a technological process.
- "Giessen" and "Endoperationen": indicating sections of the process.
- Stages such as "AF2 Schmelzen" (melting), "AF5 Giessen inkl. Lagerbuchse" (casting including bearing bush), and more.
- There is a note at the bottom: "Die Anzahl der Bearbeitungszentren ist schematisch dargestellt." This translates to "The number of processing centers is shown schematically."
### 5. Diagram and Chart Analysis
- The image depicts a process flow chart for a technological process sequence.
- The chart uses arrows to indicate the flow direction.
- Boxes represent stages or operations, with some colored blue and others gray.
- Legend:
- Gray (Mimo zakresu dodávky) indicates items outside the scope of delivery.
- Blue (Rozsah dodávky dle TZ) indicates items within the scope of delivery as per TZ.
### 8. Color Analysis
- **Dominant Colors**: Gray and Blue.
- Gray is used for most process stages, suggesting standard steps.
- Blue highlights certain stages, which are relevant within the delivery scope as per TZ.
### 9. Perspective and Composition
- **Perspective**: Top-down schematic view.
- **Composition**: Linear arrangement from left to right, illustrating a sequence of operations.
### 10. Contextual Significance
- The image is a schematic representation of a technological process pertinent to machining lines and related operations, contributing to the overall understanding of the process flow within a manufacturing or industrial project.
### 13. Graph Numbers
- **Stages (translated)**:
- AF2 Schmelzen (Melting)
- AF5 Giessen inkl. Lagerbuchse (Casting including bearing bush)
- AF20 Strahlen (Blasting)
- AF50 Fertigbearbeitung (Finishing operations)
- AF55 Waschen (Washing)
- AF80 Imprägnierung (Impregnation) *[shown as an optional process]*
- AF85 Endkontrolle (Final inspection)
**Legend (translated)**:
- Mimo rozsah dodávky: Outside the scope of supply
- Rozsah dodávky dle TZ: The scope of supply according to TZ
####################
File: TZ_Linka%20obrabeni%20motorove%20skrine%20elektropohonu%20SSP%20v5_DE.pdf
Page: 10
Context: # Anlage Nr. 13 – Kapazitätsbedarf in Jahren
| Jahr | Kapazität (KAPA 250AT) | Kapazität (KAPA 309AT) | Bedarf MGH |
|------|-----------------------|------------------------|------------|
| 2027 | 130.154 | | |
| 2028 | 188.000 | | |
| 2029 | 188.000 | | |
| 2030 | 188.000 | | |
| 2031 | 188.000 | | |
| 2032 | 188.000 | | |
| 2033 | 282.000 | | |
| 2034 | 94.000 | | |
**Kapazitätsbedarf**:
- KAPA 250AT und KAPA 309AT
- Ziel: 232.000
### Legende
- **KAPA 250AT**: ---
- **KAPA 309AT**: ---
- **Bedarf MGH**: ---
Image Analysis:
**Image Analysis**
**Image Number: Image 1**
1. **Localization and Attribution:**
- Single image presented on the page.
2. **Object Detection and Classification:**
- Objects: Bar chart, line chart, text elements, and logos.
- Categories:
- Bar chart depicting capacity requirements over years.
- Line chart overlaid illustrating capacity caps.
- Text elements providing labels and values.
- Logos in upper corners.
3. **Scene and Activity Analysis:**
- The image depicts data visualization showing the capacity requirements over a series of years.
- It is primarily focused on the capacity trends and predictions in an industrial context.
4. **Text Analysis:**
- Various texts are detected:
- Title: "Anlage Nr. 13 – Kapazitätsbedarf in Jahren"
- Year labels on the x-axis ranging from 2027 to 2034.
- Capacity values on the y-axis ranging from 0 to 300,000.
- Specific capacity values for certain years, e.g., "130 154", "188 000", "282 000", and "94 000".
- Labels "KAPA 250AT" and "KAPA 309AT".
- Legend explaining the colors: Black for "Bedarf MGH".
- Significance: These texts provide context and clarity to the data displayed in the chart, explaining the capacity requirements and the projected values over the given years.
5. **Graph and Trend Analysis:**
- The graph shows a series of bars representing the capacity requirements (Bedarf MGH) annually from 2027 to 2034.
- A red dashed line labeled "KAPA 309AT" and a solid red line labeled "KAPA 250AT" indicate different capacity limit thresholds.
- The chart shows the following data points:
- 2027: 130,154
- 2028-2032: Each has 188,000
- 2033: 282,000
- 2034: 94,000
- The trend indicates steady capacity requirements from 2028 to 2032, a sharp increase in 2033, and a notable decrease in 2034.
- The significance of the 232,000 marker points out the exceeded capacity requirement in 2033 well above the normal threshold, highlighting potential capacity planning issues.
6. **Diagram and Chart Analysis:**
- The diagram employs vertical bars to display data, with axes clearly marked.
- The primary y-axis (left) measures capacity requirements from 0 to 300,000.
- The secondary y-axis (right) corresponds to the same capacity range.
- The x-axis represents the years from 2027 to 2034.
- Key insights:
- The requirements consistently meet the 188,000 mark for most years.
- A significant peak is noted in 2033, going beyond the typical yearly requirements.
- The decrease in 2034 below previous years' marks suggests fluctuating demands or operational changes.
7. **Trend and Interpretation:**
- The primary trend shows steady annual capacity requirements with occasional peaks.
- The 2033 peak may indicate an expected surge in demand or production that year, necessitating additional planning.
- The lower requirement in 2034 could suggest optimization or decreased demand, possibly following the peak year.
8. **Tables:**
- The data from the chart can be tabulated as follows:
| Year | Capacity Requirement |
|------|-----------------------|
| 2027 | 130,154 |
| 2028 | 188,000 |
| 2029 | 188,000 |
| 2030 | 188,000 |
| 2031 | 188,000 |
| 2032 | 188,000 |
| 2033 | 282,000 |
| 2034 | 94,000 |
- This table succinctly presents the annual capacity needs, facilitating simple comparison and analysis.
In conclusion, the image provides a comprehensive view of capacity requirements over an eight-year span, with notable peaks and troughs that are important for planning and resource allocation in an industrial context.
####################
File: Standardanschreiben.pdf
Page: 1
Context: Skoda AUTO a.s., Václava Klementa 869,
293 60 Mladá Boleslav
Einkäufer: Michala Senkyrova
Abteilung: Beschaffung Aggregatfertigung und Infrastruktur
Telefon:
E-Mail: Michala.Senkyrova@skoda-auto.cz
Datum: 26.06.2024
---
**Anfrage-Nr:** SK 2024 001598
Sehr geehrte Damen und Herren,
wir bitten Sie um Ihr für uns unverbindliches und kostenloses Angebot unter Zugrundelegung unserer nachstehenden aufgeführten Geschäftsbedingungen und unter Verwendung der beigefügten Unterlagen für:
**Obráběcí linka motorové skříně MGH SSP / Machining line of the SSP E-drive motor box**
Wir bitten um Einreichung Ihres Angebots über die Konzernbusinessplattform.
Zuständig für technische Rückfragen ist
**Vorname Nachname**
**OE-Name**
**OE-Kürzel**
**Telefonnummer:** Georg.Komardov@skoda-auto.cz
Es gelten die nachfolgend aufgeführten Geschäftsbedingungen:
- Einkaufsbedingungen ŠKODA AUTO a.s. - Allgemeine Beschaffung (04/2024)
Die aktuelle Fassung der Geschäftsbedingungen finden Sie auf [http://www.vwgroupsupply.com](http://www.vwgroupsupply.com) unter folgendem Pfad: Zusammenarbeit / Geschäftsbedingungen.
Nicht fristgerecht eingereichte Angebote bleiben unberücksichtigt.
Mit freundlichen Grüßen,
i.V. Jiří Kulich
i.V. Michala Senkyrova
Dieses Schreiben wurde maschinell erstellt und ist ohne Unterschrift gültig.
SKODA AUTO a.s.
T.: Václava Klementa 869, 293 60 Mladá Boleslav, Czech Republic
IČO: 00177041, Městský soud v Praze B 332
*T +420228241111*
Image Analysis:
### Image Analysis
#### Localization and Attribution
- **Image Number**: Image 1
- **Position**: The single image occupies the entire page.
#### Object Detection and Classification
- **Objects Detected**:
- Textual content
- Company logo (Skoda)
- Contact information details (including phone, email, and address)
- List of terms and conditions
#### Scene and Activity Analysis
- **Scene Description**: The content is presented as a formal letter from Skoda AUTO a.s., likely intended for a business partner or supplier, requesting a quotation for a specific machining line.
- **Main Actors and Actions**:
- Skoda AUTO a.s., represented by Michala Senkyrova, is requesting a quotation.
- The recipient of the letter, presumably a potential supplier or business partner, is expected to provide the requested quotation and adhere to the stated conditions.
#### Text Analysis
- **Extracted Text**:
- Sender information: Skoda AUTO a.s., Václava Klementa 869, 293 60 Mladá Boleslav
- Contact person: Michala Senkyrova, department of procurement, aggregates manufacturing, and infrastructure
- Inquiry Number: SK 2024 001598
- The letter content includes a request for an offer for a machining line of the SSP E-drive motor box.
- Conditions for submitting the offer through the corporate business platform.
- Technical inquiries contact: Georgy.Komarov@skoda-auto.cz
- Reference to business conditions valid from 04/2024, available on the provided URL.
- Signing off by Jiri Kulich and Michala Senkyrova
- **Significance**:
- The text signifies a formal and structured business communication from Skoda AUTO a.s. to a potential supplier.
- It includes all necessary details required for responding to the request.
#### Color Analysis
- **Dominant Colors**:
- White (background)
- Black (text)
- Green and dark gray (logo)
- **Impact on Perception**: The use of white and black ensures clarity and readability. The green in the Skoda logo is a recognizable brand color, reinforcing brand identity.
#### Perspective and Composition
- **Perspective**: The image represents a direct head-on view, typical of document scans or screenshots.
- **Composition**: The layout is formal and structured. The company’s logo is positioned at the top right, contact information on the right-hand side, and the body of the letter follows in a block format.
#### Contextual Significance
- **Document Context**: As this appears to be a formal request for a quotation, it contributes to business operations and procurement processes within Skoda AUTO a.s.
- **Overall Message**: The image highlights the professional and systematic approach of Skoda AUTO a.s. in handling procurement and business communications.
### Conclusion
The image is a formal business communication from Skoda AUTO a.s. requesting a quotation for a specific machinery component from a potential supplier. It includes all necessary information for the recipient to respond appropriately, adhering to specified guidelines and conditions. The design and color scheme enhance readability and maintain the professionalism of the document.
####################
File: Standardanschreiben.pdf
Page: 2
Context: # Skoda AUTO a.s., Václava Klementa 869,
293 60 Mladá Boleslav
**Purchaser:** Michala Senkyrova
**Department:** Beschaffung Aggregatenfertigung und Infrastruktur
**Telephone:**
**E-Mail:** Michala.Senkyrova@skoda-auto.cz
**Date:** Jun 26, 2024
**Inquiry no.:** SK 2024 001598
Dear Sir or Madam,
Please submit a non-binding, free-of-charge offer based on our terms and conditions (as listed below) and using the attached documents for:
**Obráběcí linka motorové skříně MGH SSP/Machining line of the SSP E-drive motor box**
Please submit your bid via the Group business platform.
For technical queries, please contact:
** **
Georgy.Komarov@skoda-auto.cz
The terms and conditions below apply:
- General Purchase Terms and Conditions of ŠKODA AUTO a.s. (04/2024)
- The current version of the terms and conditions can be found at [VW Group Supply](http://www.vwgroupsupply.com).
- Cooperation information / Purchasing Conditions
Quotations submitted after the deadline will not be considered.
Yours sincerely,
p.p. Jiri Kulich
p.p. Michala Senkyrova
*This letter was generated automatically and is valid without a signature.*
---
Skoda AUTO a.s.
TŘ: Václava Klementa 869, 293 60 Mladá Boleslav, Czech Republic
IČO: 00217074, Městský soud v Praze B 332
T*: +420202281111
Jun 26, 2024 | SK BA/2 | KSU 6.1 - 15 years | confidential
Image Analysis:
1. **Localization and Attribution:**
- **Image 1**: The entire page appears to be a single document with multiple sections.
2. **Object Detection and Classification:**
- The document contains a logo, text, and a letter format.
- Key features:
- **Logo**: The Skoda Auto logo is visible at the top-right corner.
- **Tables**: Structured information about the purchaser, department, and contact details.
- **Text**: Formal letter content addressing the reader.
3. **Scene and Activity Analysis:**
- The scene is that of a formal letter from Skoda AUTO a.s., represented as an inquiry or request for proposal (RFP).
- The main actors are the purchaser Michala Senkyrova and the signatures or titles of Jiří Kulich and Michala Senkyrova.
- Activities include the request for a bid submission and contact procedures for technical queries.
4. **Text Analysis:**
- **Header Text**:
- _"Skoda AUTO a.s., Václava Klementa 869, 293 60 Mladá Boleslav"_
- Company address and contact details of Skoda AUTO a.s.
- Includes purchaser details: Michala Senkyrova, Department: Beschaffung Aggregatenfertigung und Infrastruktur, email and date.
- **Body Text**:
- Inquiry number: SK 2024 001598
- A request for a non-binding, free-of-charge offer for machining the line of the SSP E-drive motor box.
- Contact details for technical queries and a mention of Georgey Komarov.
- **Footer Text**:
- Contains the company's contact information, registration details, and terms of validity.
- **Significance**: This is a formal business communication for a procurement process, highlighting instructions for bid submission and technical communication.
10. **Contextual Significance:**
- The document is significant in the context of procurement and supply chain management. It is a standard formal request for quotation (RFQ) designed to initiate the bidding process for a specific project within the automotive industry.
- It sets out clear expectations for suppliers and provides the necessary details for the submission of bids.
13. **Graph Numbers:**
- Not applicable as there are no graphs in the provided document.
---
Additional Aspects:
- **Prozessbeschreibungen (Process Descriptions)**:
- The process described pertains to submitting a non-binding, free-of-charge offer based on outlined terms and conditions.
- **Typen Bezeichnung (Type Designations)**:
- "Obráběcí linka motorové skříně MGH SSP/Machining line of the SSP E-drive motor box" designates the type of project or product being referred to for the request.
Overall, the document is a formal business correspondence from Skoda AUTO a.s. seeking bids for a machining project, detailing contact protocols and submission guidelines, embodying a methodical approach to vendor solicitation.
##########
"""QUERY: Bitte liste die Komponenten und Prozesse auf die in den Dokumenten vom Endkunden/Kunden gefordert sind auf – bezieh dich hier nicht auf das Wörterbuch oder Dokumente die dem Wörtbuch nahkommen sondern nur auf Kunden/Endkunden Dokumente Alle prozesse/komponenten die bekannt sind sollen nicht aufgelistet werden. wichtig – es sind für flt nur Prozesse/Komponenten bekannt die auch im Wörterbuch hinterlegt sind. nicht explizit im FLT-Wörterbuch bekannte prozesse/komponenten sind nicht bekannt – selbst wenn du davon ausgehst, dass diese von FLT lieferbar sind Alle Komponten/Prozesse die keine Zugehörigkeit zum Endkunden haben und FLT bekannt sind sollen nicht aufgelistet werden. Liste nicht den Endkunden auf Sortiere die Tabelle von oben nach unten. Hier bitte nach einer alphabetischen-Sortierung. Unterteile Prozesse und Komponenten in zwei unterschiedliche Tabellen Beginne mit den Komponenten und dann mit den Prozessen Für die Beschreibung bezieh dich auf das zum fertigenden Werkstück – z.B. für das Portal soll die Baureihe hinterlegt werden – es soll hier eine Beschreibung wo nur allgemein auf das zu fertigende Werkstück (nur ein Wort) hingewiesen werden soll und dann eine spalte in der eine ausführliche erläutung/Beschreibung aufgelistet werden soll keine erläuterung hinzufügen bitte nur die Tabelle Sobald mehrere zu fertigende Werkstücke enthalten sind bitte teile diese geclustert in verschiedene Tabellen auf Nicht zu zuordenbare Komponenten/Prozesse sind jeweils den anderen Werkstück-Typ zuzuordnen Bitte füge noch die einzelnen Stückzahlen der Prozesse und Komponenten als spalte hinzu – in dieser Splate bitte nur Ganzzahlen verwenden Beispieltabellen: Komponenten - [Werkstück] | Komponente | Werkstück | Beschreibung | Anzahl"""
Consider the chat history for relevant information. Use all information included. Use as much tokens as needed. Important: If you find information separated by a | in the context, it is a table formatted in Markdown.Important: Take a look at the QUERY and only the QUERY. If this is vague or unclear, please ignore everything and ask a follow-up question instead!
Final Files Sources: 0qa_901_108-sspha_mg_ftz%281%29.pdf - Page 2, VW%2010130_DE.pdf - Page 1, VW%2010130_DE.pdf - Page 2, VW%2010130_DE.pdf - Page 3, VW%2010130_DE.pdf - Page 4, VW%2010130_DE.pdf - Page 5, VW%2010130_DE.pdf - Page 6, VW%2010130_DE.pdf - Page 7, VW%2010130_DE.pdf - Page 8, VW%2010130_DE.pdf - Page 9, VW%2010130_DE.pdf - Page 10, VW%2010130_DE.pdf - Page 11, VW%2010130_DE.pdf - Page 12, VW%2010130_DE.pdf - Page 13, VW%2010130_DE.pdf - Page 14, VW%2010130_DE.pdf - Page 15, VW%2010130_DE.pdf - Page 16, VW%2010130_DE.pdf - Page 17, VW%2010130_DE.pdf - Page 18, VW%2010130_DE.pdf - Page 19, VW%2010130_DE.pdf - Page 20, VW%2010130_DE.pdf - Page 21, VW%2010130_DE.pdf - Page 22, VW%2010130_DE.pdf - Page 23, VW%2010130_DE.pdf - Page 24, VW%2010130_DE.pdf - Page 25, VW%2010130_DE.pdf - Page 26, VW%2010130_DE.pdf - Page 27, VW%2010130_DE.pdf - Page 28, VW%2010130_DE.pdf - Page 29, VW%2010130_DE.pdf - Page 30, VW%2010130_DE.pdf - Page 31, VW%2010130_DE.pdf - Page 32, VW%2010130_DE.pdf - Page 33, VW%2010130_DE.pdf - Page 34, VW%2010130_DE.pdf - Page 35, Interni%20smernice%20-%20komponenty%20SZ_DE%281%29.pdf - Page 1, Interni%20smernice%20-%20komponenty%20SZ_DE%281%29.pdf - Page 2, Interni%20smernice%20-%20komponenty%20SZ_DE%281%29.pdf - Page 3, Interni%20smernice%20-%20komponenty%20SZ_DE%281%29.pdf - Page 4, Anfrage%20Mail.pdf - Page 1, Anfrage%20Mail.pdf - Page 2, MGH%20Anlage%2014.pdf - Page 1, MGH%20Anlage%2014.pdf - Page 2, MGH%20Anlage%2014.pdf - Page 3, MGH%20Anlage%2014.pdf - Page 4, MGH%20Anlage%2014.pdf - Page 5, MGH%20Anlage%2014.pdf - Page 6, MGH%20Anlage%2014.pdf - Page 7, MGH%20Anlage%2014.pdf - Page 8, MGH%20Anlage%2014.pdf - Page 9, Standardanschreiben%281%29.pdf - Page 1, Standardanschreiben%281%29.pdf - Page 2, Standardanschreiben%281%29.pdf - Page 3, Interni%20smernice%20-%20komponenty%20SZ_DE.pdf - Page 1, Interni%20smernice%20-%20komponenty%20SZ_DE.pdf - Page 2, Interni%20smernice%20-%20komponenty%20SZ_DE.pdf - Page 3, Interni%20smernice%20-%20komponenty%20SZ_DE.pdf - Page 4, VW%2010130_CS.pdf - Page 1, VW%2010130_CS.pdf - Page 2, VW%2010130_CS.pdf - Page 3, VW%2010130_CS.pdf - Page 4, VW%2010130_CS.pdf - Page 5, VW%2010130_CS.pdf - Page 6, VW%2010130_CS.pdf - Page 7, VW%2010130_CS.pdf - Page 8, VW%2010130_CS.pdf - Page 9, VW%2010130_CS.pdf - Page 10, VW%2010130_CS.pdf - Page 11, VW%2010130_CS.pdf - Page 12, VW%2010130_CS.pdf - Page 13, VW%2010130_CS.pdf - Page 14, VW%2010130_CS.pdf - Page 15, VW%2010130_CS.pdf - Page 16, VW%2010130_CS.pdf - Page 17, VW%2010130_CS.pdf - Page 18, VW%2010130_CS.pdf - Page 19, VW%2010130_CS.pdf - Page 20, VW%2010130_CS.pdf - Page 21, VW%2010130_CS.pdf - Page 22, VW%2010130_CS.pdf - Page 23, VW%2010130_CS.pdf - Page 24, VW%2010130_CS.pdf - Page 25, VW%2010130_CS.pdf - Page 26, VW%2010130_CS.pdf - Page 27, VW%2010130_CS.pdf - Page 28, VW%2010130_CS.pdf - Page 29, VW%2010130_CS.pdf - Page 30, VW%2010130_CS.pdf - Page 31, VW%2010130_CS.pdf - Page 32, VW%2010130_CS.pdf - Page 33, VW%2010130_CS.pdf - Page 34, VW%2010130_CS.pdf - Page 35, 240910_Skoda_Automation_MGH_Portal_direkt.pptx - Page 1, 240910_Skoda_Automation_MGH_Portal_direkt.pptx - Page 2, 240910_Skoda_Automation_MGH_Portal_direkt.pptx - Page 3, 240910_Skoda_Automation_MGH_Portal_direkt.pptx - Page 4, 240910_Skoda_Automation_MGH_Portal_direkt.pptx - Page 5, 240910_Skoda_Automation_MGH_Portal_direkt.pptx - Page 6, 240910_Skoda_Automation_MGH_Portal_direkt.pptx - Page 7, 240910_Skoda_Automation_MGH_Portal_direkt.pptx - Page 8, TZ_Linka%20obrabeni%20motorove%20skrine%20elektropohonu%20SSP%20v5_DE.pdf - Page 1, TZ_Linka%20obrabeni%20motorove%20skrine%20elektropohonu%20SSP%20v5_DE.pdf - Page 2, TZ_Linka%20obrabeni%20motorove%20skrine%20elektropohonu%20SSP%20v5_DE.pdf - Page 3, TZ_Linka%20obrabeni%20motorove%20skrine%20elektropohonu%20SSP%20v5_DE.pdf - Page 4, TZ_Linka%20obrabeni%20motorove%20skrine%20elektropohonu%20SSP%20v5_DE.pdf - Page 5, TZ_Linka%20obrabeni%20motorove%20skrine%20elektropohonu%20SSP%20v5_DE.pdf - Page 6, TZ_Linka%20obrabeni%20motorove%20skrine%20elektropohonu%20SSP%20v5_DE.pdf - Page 7, TZ_Linka%20obrabeni%20motorove%20skrine%20elektropohonu%20SSP%20v5_DE.pdf - Page 8, TZ_Linka%20obrabeni%20motorove%20skrine%20elektropohonu%20SSP%20v5_DE.pdf - Page 9, TZ_Linka%20obrabeni%20motorove%20skrine%20elektropohonu%20SSP%20v5_DE.pdf - Page 10, Standardanschreiben.pdf - Page 1, Standardanschreiben.pdf - Page 2
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FINAL ANSWER
Answer: ## Komponenten - [Motorgehäuse]
| Komponente | Werkstück | Beschreibung | FLT bekannt | Anzahl |
|---|---|---|---|---|
| Portal mit H-Lader | Motorgehäuse | LGR-4 | Ja | 1 |
| Doppelgreifer | Motorgehäuse | 2 pro Portal | Ja | 2 |
| PMC-Kameras | Motorgehäuse | 2 am RT-Band | Ja | 2 |
| SSP Schubladen | Motorgehäuse | 1 pro | Ja | 1 |
| DMC-Handelser | Motorgehäuse | 1 pro Schublade | Ja | 1 |
| Kühlachse | Motorgehäuse | Vor Ablegen WST auf FT-Band | Ja | 1 |
| Schutzhausung | Motorgehäuse | Für Bänder | Ja | 1 |
| RT/FT Paletten-Bänder | Motorgehäuse | | Ja | 1 |
| Mobile Wartungsbühne | Motorgehäuse | Mit/ohne elektr. Absicherung | Nein | 1 |
## Prozesse - [Motorgehäuse]
| Prozess | Werkstück | Beschreibung | FLT bekannt | Anzahl |
|---|---|---|---|---|
| Nassenbearbeitung | Motorgehäuse | | Ja | 1 |
| Eingangsstand | Motorgehäuse | Gussteil (Hochdruckguss) | Ja | 1 |
| Ausgangsstand | Motorgehäuse | Bearbeitetes Teil | Ja | 1 |
| Bearbeitung | Motorgehäuse | Gemäß Zeichnung QOA_901_108-sstpha_mg_ftz | Ja | 1 |
| Transport | Motorgehäuse | Zum Übergebepunkt unter dem Portal | Ja | 1 |
| Positionierung | Motorgehäuse | Auf der Transportvorrichtung | Ja | 1 |
| Schnittstelle | Motorgehäuse | Ladevorrichtung | Ja | 1 |
| Schnittstelle | Motorgehäuse | Förderer | Ja | 1 |
| Kühlflüssigkeit | Motorgehäuse | Emulsion | Ja | 1 |
| Spänetransport | Motorgehäuse | Mittels Förderer | Ja | 1 |
| Absaugung und Filtration | Motorgehäuse | Inkl. Rohrleitung | Ja | 1 |
| DMC-Code-Lesen | Motorgehäuse | 2 stationäre Kameras am Anfang der ML | Ja | 2 |
| DMC-Code-Lesen | Motorgehäuse | 1 manuelles Lesegerät an jedem SPC Standard | Ja | 1 |
| Werkzeugwechsel | Motorgehäuse | Nach ITS 3.10 | Ja | 1 |
| Inbetriebnahme | Motorgehäuse | 1 Arbeiter/1 Woche | Ja | 1 |
| Schulung | Motorgehäuse | | Ja | 1 |
| Lagerbuchsenbearbeitungswerkzeuge | Motorgehäuse | Abschätzung der Standzeit und Kosten pro Stück | Ja | 1 |
| Bestellungen | Motorgehäuse | | Ja | 1 |
| Lieferung, Inbetriebnahme und Übergabe | Motorgehäuse | | Ja | 1 |
| TBT-PVS | Motorgehäuse | | Ja | 1 |
| PVS | Motorgehäuse | | Ja | 1 |
| Nullierung | Motorgehäuse | | Ja | 1 |
| 2 Tage Produktion | Motorgehäuse | | Ja | 1 |
| SOP | Motorgehäuse | | Ja | 1 |
| Traceability | Motorgehäuse | Anbindung an Kundenrechner | Nein | 1 |
| Anbringeliste | Motorgehäuse | | Nein | 1 |
| Beffestigung | Motorgehäuse | Rahmeneck | Nein | 1 |
| Druckpunktbohrung | Motorgehäuse | | Nein | 1 |
| Öl Dichtungswechsel | Motorgehäuse | | Nein | 1 |
| Öl Rücklauf | Motorgehäuse | | Nein | 1 |
| Getriebeputzen | Motorgehäuse | | Nein | 1 |
| Achse und Lager Töpfe | Motorgehäuse | | Nein | 1 |
| Rückhaltfeder | Motorgehäuse | | Nein | 1 |
| Kugellagerbohrung | Motorgehäuse | | Nein | 1 |
| Kugellager Dichtungsflansch | Motorgehäuse | | Nein | 1 |
| Druckstift Bohrung | Motorgehäuse | | Nein | 1 |
| Leerlauf Knopf Lagerbohrung | Motorgehäuse | | Nein | 1 |
| Drossel Kugellagerbohrung | Motorgehäuse | | Nein | 1 |
| Ölniveaustand Bolzen | Motorgehäuse | | Nein | 1 |
| Öl Vettel Aufnahmebrücke | Motorgehäuse | | Nein | 1 |
| Maximalen Zündblitzlage fest Sitz | Motorgehäuse | | Nein | 1 |
| Rohrflansch Detail Sillflans | Motorgehäuse | | Nein | 1 |
| Gehäuseschraube Routinierung | Motorgehäuse | | Nein | 1 |
| Außenmutter Zylinderkopf | Motorgehäuse | | Nein | 1 |
| Anbringeliste obere Schale | Motorgehäuse | | Nein | 1 |
| Anbringeliste mittlere Schale | Motorgehäuse | | Nein | 1 |
| | | | | |
## Komponenten - [Getriebegehäuse]
| Komponente | Werkstück | Beschreibung | FLT bekannt | Anzahl |
|---|---|---|---|---|
| Portal mit H-Lader | Getriebegehäuse | LGR-4 | Ja | 1 |
| Doppelgreifer | Getriebegehäuse | 2 pro Portal | Ja | 2 |
| PMC-Kameras | Getriebegehäuse | 2 am RT-Band | Ja | 2 |
| SSP Schubladen | Getriebegehäuse | 1 pro | Ja | 1 |
| DMC-Handelser | Getriebegehäuse | 1 pro Schublade | Ja | 1 |
| Kühlachse | Getriebegehäuse | Vor Ablegen WST auf FT-Band | Ja | 1 |
| Schutzhausung | Getriebegehäuse | Für Bänder | Ja | 1 |
| RT/FT Paletten-Bänder | Getriebegehäuse | | Ja | 1 |
| Mobile Wartungsbühne | Getriebegehäuse | Mit/ohne elektr. Absicherung | Nein | 1 |
## Prozesse - [Getriebegehäuse]
| Prozess | Werkstück | Beschreibung | FLT bekannt | Anzahl |
|---|---|---|---|---|
| Nassenbearbeitung | Getriebegehäuse | | Ja | 1 |
| Eingangsstand | Getriebegehäuse | Gussteil (Hochdruckguss) | Ja | 1 |
| Ausgangsstand | Getriebegehäuse | Bearbeitetes Teil | Ja | 1 |
| Bearbeitung | Getriebegehäuse | Gemäß Zeichnung QOA_901_108-sstpha_mg_ftz | Ja | 1 |
| Transport | Getriebegehäuse | Zum Übergebepunkt unter dem Portal | Ja | 1 |
| Positionierung | Getriebegehäuse | Auf der Transportvorrichtung | Ja | 1 |
| Schnittstelle | Getriebegehäuse | Ladevorrichtung | Ja | 1 |
| Schnittstelle | Getriebegehäuse | Förderer | Ja | 1 |
| Kühlflüssigkeit | Getriebegehäuse | Emulsion | Ja | 1 |
| Spänetransport | Getriebegehäuse | Mittels Förderer | Ja | 1 |
| Absaugung und Filtration | Getriebegehäuse | Inkl. Rohrleitung | Ja | 1 |
| DMC-Code-Lesen | Getriebegehäuse | 2 stationäre Kameras am Anfang der ML | Ja | 2 |
| DMC-Code-Lesen | Getriebegehäuse | 1 manuelles Lesegerät an jedem SPC Standard | Ja | 1 |
| Werkzeugwechsel | Getriebegehäuse | Nach ITS 3.10 | Ja | 1 |
| Inbetriebnahme | Getriebegehäuse | 1 Arbeiter/1 Woche | Ja | 1 |
| Schulung | Getriebegehäuse | | Ja | 1 |
| Lagerbuchsenbearbeitungswerkzeuge | Getriebegehäuse | Abschätzung der Standzeit und Kosten pro Stück | Ja | 1 |
| Bestellungen | Getriebegehäuse | | Ja | 1 |
| Lieferung, Inbetriebnahme und Übergabe | Getriebegehäuse | | Ja | 1 |
| TBT-PVS | Getriebegehäuse | | Ja | 1 |
| PVS | Getriebegehäuse | | Ja | 1 |
| Nullierung | Getriebegehäuse | | Ja | 1 |
| 2 Tage Produktion | Getriebegehäuse | | Ja | 1 |
| SOP | Getriebegehäuse | | Ja | 1 |
| Traceability | Getriebegehäuse | Anbindung an Kundenrechner | Nein | 1 |
| Anbringeliste | Getriebegehäuse | | Nein | 1 |
| Beffestigung | Getriebegehäuse | Rahmeneck | Nein | 1 |
| Druckpunktbohrung | Getriebegehäuse | | Nein | 1 |
| Öl Dichtungswechsel | Getriebegehäuse | | Nein | 1 |
| Öl Rücklauf | Getriebegehäuse | | Nein | 1 |
| Getriebeputzen | Getriebegehäuse | | Nein | 1 |
| Achse und Lager Töpfe | Getriebegehäuse | | Nein | 1 |
| Rückhaltfeder | Getriebegehäuse | | Nein | 1 |
| Kugellagerbohrung | Getriebegehäuse | | Nein | 1 |
| Kugellager Dichtungsflansch | Getriebegehäuse | | Nein | 1 |
| Druckstift Bohrung | Getriebegehäuse | | Nein | 1 |
| Leerlauf Knopf Lagerbohrung | Getriebegehäuse | | Nein | 1 |
| Drossel Kugellagerbohrung | Getriebegehäuse | | Nein | 1 |
| Ölniveaustand Bolzen | Getriebegehäuse | | Nein | 1 |
| Öl Vettel Aufnahmebrücke | Getriebegehäuse | | Nein | 1 |
| Maximalen Zündblitzlage fest Sitz | Getriebegehäuse | | Nein | 1 |
| Rohrflansch Detail Sillflans | Getriebegehäuse | | Nein | 1 |
| Gehäuseschraube Routinierung | Getriebegehäuse | | Nein | 1 |
| Außenmutter Zylinderkopf | Getriebegehäuse | | Nein | 1 |
| Anbringeliste obere Schale | Getriebegehäuse | | Nein | 1 |
| Anbringeliste mittlere Schale | Getriebegehäuse | | Nein | 1 |
| | | | | |
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