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題名 兩個等級產品在相依製程下的管制 作者 楊達鑫 貢獻者 楊素芬
楊達鑫關鍵詞 管制圖
非機遇因素
馬可夫鏈
更新過程日期 1998 上傳時間 21-四月-2016 09:54:41 (UTC+8) 摘要 本研究針對兩個相依製程下兩個等級產品之製程管制提出以統計方法管制製程和以經濟觀點管制製程。在統計製程管制方面,本研究在製程的第一階段建立個別等級的EWMA管制圖和合併的EWMA管制圖以快速地偵測出影響個別等級產品品質特性之非機遇因素是否發生及同時影響所有等級產品品質特性之非機遇因素是否發生;在第二階段建立個別等級的選控圖和合併的選控圖以快速地偵測出影響個別等級產品品質特性之非機遇因素是否發生及同時影響所有等級產品品質特性之非機遇因素是否發生。利用這些管制圖不但考慮到前後製程的關係,在製程失控時更可明確地劃分各個子製程的責任歸屬。本研究並以資料分析比較EWMA管制圖和選控圖、Shewhart Individual管制圖與Hotelling 管制圖的診斷效果。在經濟設計方面,本研究發展經濟設計的EWMA管制圖和選控圖以分別監控生產兩個等級產品之兩階段製程。文中將製程表示為更新過程,而更新過程中每一個循環又被表示為馬可夫過程,於是利用馬可夫鏈方法及更新過程性質可導出成本函數。由於導出的單位時間成本是管制圖設計參數的函數,故用最佳解技巧即可決定設計參數的最佳值。文中並以數值分析與例子說明經濟設計的EWMA管制圖和選控圖的設立及應用。 參考文獻 1. 楊素芬(1998),”多等級產品的製程管制”,國科會專題計劃, NSC 87-2118-M-004-008。2. 楊素芬和劉泰亨(1999),”不同等級產品的經濟製程管制”,技術報告,國立政治大學。3. Banerjee, P. and Rahim, M.(1987), “The Economic Design of Control Chart:A Renewal Theory Approach ”, Engineering Optimization,Vol.12, pp.63-73.4. Duncan, A.(1956) ,”The Economic Design of Chart Used to Maintain Current Control of a Process”, Journal of the American Statistical Association, Vol. 51, pp.228-242.5. Doganaskoy, N., Schmee, J. and Vandeven, M.(1996),”Process Monitoring with Multiple Product Grades”, Journal of Quality Technology, Vol. 28, No. 3, pp.346-355.6. Lorenzen, T. and Vance, L.(1986),”The Economic Design of Control Charts:A Unified Approach”, Technometrics, Vol. 28, No. 1, pp.3-10.7. Montgomery, D.(1980),” The Economic Design of Control Charts:A Review and Literature Survey”, Journal of Quality Technology, Vol. 12, No. 2, April, pp.75-86.8. Montgomery, D.(1996), Introduction to Statistical Quality Control, John Wiley&Sons, Inc., New York.9. Panagos, M., Heikes, R. and Montgomery, D. (1985) ,”Economic Design of Control Charts for Two Manufacturing Process Models”, Naval Research Logistics Quarterly, Vol. 32, pp.631-646.10. Roberts, S.(1959),”Control Chart Tests Based on Geometric Moving Average”, Technometrics, Vol. 1, pp.239-250.11. Ross, S.(1993), Introduction to Probability Models, Academic Press.12. Shewhart, W.(1931), Economic Control of Quality of Manufactured Product ,D. Van Nostrand Company, Inc.13. Wade, R. and Woodall, W.(1993),”A Review and Analysis of Cause-Selecting Control Charts”, Journal of Quality Technology, Vol. 25, No. 3, pp.161-169.14. Yang, S. (1997), “The Economic Design of Control Charts When There are Dependent Process Steps”, International Journal of Quality&Reliability Management, Vol. 14, No. 6, pp.606-615.15. Yang, C.(1997), “The Economic Design of Simple Cause-Selecting Control Charts” , Journal and Newsletter for Quality and Reliability, Vol. 12, No. 4, pp. 215-225.16. Yang, S.(1998),”Optimal Process Control for Multiple Dependent Subprocesses”, Qual. Reliab. Engng. Int. 14:347-355.17. Zhang, G.(1984),”A New Type of Control Charts and a Theory of Diagnosis with Control Charts”, World Quality Congress Transactions, American Society for Quality Control, Milwaukee, WI, pp.75-85. 描述 碩士
國立政治大學
統計學系
86354001資料來源 http://thesis.lib.nccu.edu.tw/record/#B2002001551 資料類型 thesis dc.contributor.advisor 楊素芬 zh_TW dc.contributor.author (作者) 楊達鑫 zh_TW dc.creator (作者) 楊達鑫 zh_TW dc.date (日期) 1998 en_US dc.date.accessioned 21-四月-2016 09:54:41 (UTC+8) - dc.date.available 21-四月-2016 09:54:41 (UTC+8) - dc.date.issued (上傳時間) 21-四月-2016 09:54:41 (UTC+8) - dc.identifier (其他 識別碼) B2002001551 en_US dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/85880 - dc.description (描述) 碩士 zh_TW dc.description (描述) 國立政治大學 zh_TW dc.description (描述) 統計學系 zh_TW dc.description (描述) 86354001 zh_TW dc.description.abstract (摘要) 本研究針對兩個相依製程下兩個等級產品之製程管制提出以統計方法管制製程和以經濟觀點管制製程。在統計製程管制方面,本研究在製程的第一階段建立個別等級的EWMA管制圖和合併的EWMA管制圖以快速地偵測出影響個別等級產品品質特性之非機遇因素是否發生及同時影響所有等級產品品質特性之非機遇因素是否發生;在第二階段建立個別等級的選控圖和合併的選控圖以快速地偵測出影響個別等級產品品質特性之非機遇因素是否發生及同時影響所有等級產品品質特性之非機遇因素是否發生。利用這些管制圖不但考慮到前後製程的關係,在製程失控時更可明確地劃分各個子製程的責任歸屬。本研究並以資料分析比較EWMA管制圖和選控圖、Shewhart Individual管制圖與Hotelling 管制圖的診斷效果。在經濟設計方面,本研究發展經濟設計的EWMA管制圖和選控圖以分別監控生產兩個等級產品之兩階段製程。文中將製程表示為更新過程,而更新過程中每一個循環又被表示為馬可夫過程,於是利用馬可夫鏈方法及更新過程性質可導出成本函數。由於導出的單位時間成本是管制圖設計參數的函數,故用最佳解技巧即可決定設計參數的最佳值。文中並以數值分析與例子說明經濟設計的EWMA管制圖和選控圖的設立及應用。 zh_TW dc.description.tableofcontents 1. 緒論2. 兩個等級產品在相依製程下之統計製程管製 2.1 前言 2.2 製程模式的基本假設與符號的定義 2.3 管制圖的建立 2.4 管制圖的應用 2.5 資料分析 2.6 結論與建議3. 兩個等級產品在相依製程下之經濟設計 3.1 前言 3.2 製程模式的基本假設與符號的定義 3.3 經濟管制圖的建立 3.4 成本模式之推導 3.4.1 期望循環時間之推導 3.4.2 期望循環成本之推導 3.4.3 目標函數之獲得 3.5 舉例說明EWMA經濟管制圖之建立與應用 3.6 結論與建議4. 總結與建議5. 參考文獻6. 附錄 附錄一 附錄二 附錄三 zh_TW dc.source.uri (資料來源) http://thesis.lib.nccu.edu.tw/record/#B2002001551 en_US dc.subject (關鍵詞) 管制圖 zh_TW dc.subject (關鍵詞) 非機遇因素 zh_TW dc.subject (關鍵詞) 馬可夫鏈 zh_TW dc.subject (關鍵詞) 更新過程 zh_TW dc.title (題名) 兩個等級產品在相依製程下的管制 zh_TW dc.type (資料類型) thesis en_US dc.relation.reference (參考文獻) 1. 楊素芬(1998),”多等級產品的製程管制”,國科會專題計劃, NSC 87-2118-M-004-008。2. 楊素芬和劉泰亨(1999),”不同等級產品的經濟製程管制”,技術報告,國立政治大學。3. Banerjee, P. and Rahim, M.(1987), “The Economic Design of Control Chart:A Renewal Theory Approach ”, Engineering Optimization,Vol.12, pp.63-73.4. Duncan, A.(1956) ,”The Economic Design of Chart Used to Maintain Current Control of a Process”, Journal of the American Statistical Association, Vol. 51, pp.228-242.5. Doganaskoy, N., Schmee, J. and Vandeven, M.(1996),”Process Monitoring with Multiple Product Grades”, Journal of Quality Technology, Vol. 28, No. 3, pp.346-355.6. Lorenzen, T. and Vance, L.(1986),”The Economic Design of Control Charts:A Unified Approach”, Technometrics, Vol. 28, No. 1, pp.3-10.7. Montgomery, D.(1980),” The Economic Design of Control Charts:A Review and Literature Survey”, Journal of Quality Technology, Vol. 12, No. 2, April, pp.75-86.8. Montgomery, D.(1996), Introduction to Statistical Quality Control, John Wiley&Sons, Inc., New York.9. Panagos, M., Heikes, R. and Montgomery, D. (1985) ,”Economic Design of Control Charts for Two Manufacturing Process Models”, Naval Research Logistics Quarterly, Vol. 32, pp.631-646.10. Roberts, S.(1959),”Control Chart Tests Based on Geometric Moving Average”, Technometrics, Vol. 1, pp.239-250.11. Ross, S.(1993), Introduction to Probability Models, Academic Press.12. Shewhart, W.(1931), Economic Control of Quality of Manufactured Product ,D. Van Nostrand Company, Inc.13. Wade, R. and Woodall, W.(1993),”A Review and Analysis of Cause-Selecting Control Charts”, Journal of Quality Technology, Vol. 25, No. 3, pp.161-169.14. Yang, S. (1997), “The Economic Design of Control Charts When There are Dependent Process Steps”, International Journal of Quality&Reliability Management, Vol. 14, No. 6, pp.606-615.15. Yang, C.(1997), “The Economic Design of Simple Cause-Selecting Control Charts” , Journal and Newsletter for Quality and Reliability, Vol. 12, No. 4, pp. 215-225.16. Yang, S.(1998),”Optimal Process Control for Multiple Dependent Subprocesses”, Qual. Reliab. Engng. Int. 14:347-355.17. Zhang, G.(1984),”A New Type of Control Charts and a Theory of Diagnosis with Control Charts”, World Quality Congress Transactions, American Society for Quality Control, Milwaukee, WI, pp.75-85. zh_TW