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題名 EWMA管制圖在多等級產品的管制
作者 劉泰亨
貢獻者 楊素芬
劉泰亨
關鍵詞 多等級產品
EWMA管制圖
非機遇因素
Multiple product grades
EWMA control charts
Assignable causes
日期 1998
上傳時間 21-四月-2016 09:54:39 (UTC+8)
摘要 隨著經濟不斷的發展與進步，商品市場的需求漸趨多元，廠商彼此之間的競爭愈來愈激烈，為了滿足客戶多元的需求，採用多等級製程的生產方式成為廠商製造產品的一種策略。Doganaksoy, Schmee, and Vandeven (1996)提出使用EWMA管制圖監控多等級產品製程的方法，利用合併資料之EWMA管制圖可以更快速地偵測出同時影響所有等級產品品質特性之非機遇因素是否發生。但是他們並沒有考慮到管制圖的經濟層面，因此本文主要探討如何由經濟觀點設計EWMA管制圖以監控生產多等級產品的製程。
With the progress of the economic of the world and the various demands of the consumers, there is a new strategy to product with multiple product grades. Doganaskoy, Schmee, and Vandeven(1996) had provided a method of using a combined exponentially weighted moving average (EWMA) control charts that allow speedy detection of assignable causes affecting all grades. But this control scheme is not designed from economic viewpoint. In this paper we will discuss how to construct an economic model for the EWMA control chart to monitor the process with multiple product grades.
參考文獻 1. 田口玄一 原著，蘇學恭 翻譯(1986)，品質工程－品質從產品與製 程的設計開始，中國生產力中心.
     2. 楊素芬和鄭明芳(1994)，兩個非機遇因素下S管制圖之經濟設計， 國立政治大學學報，第69期，頁193-214.
     3. Banerjee, P., and Rahim, M. (1987), "The Economic Design of Control Charts : A Renewal Theory Approach", Engineering Optimization, Vol.12 pp.63-73.
     4. Crosby, P. B. (1984), Quality Without Tears: The Art of Hasslefree Management, Mcgraw-Hill, New York.
     5. Crowder, S. V. (1987a), "A Simple Method for Studying Run-Length Distributions of Exponentially Weighted Moving Average Charts",Technometrics , Vol. 29, No. 4, pp.401-407.
     6. Crowder, S. V. (1987b), "Average Run Lengths of Exponentially Weighted Moving Average Control Charts", Journal of Quality Technology, Vol. 19, No. 3, pp.161-164.
     7. Deming, W. E. (1982), Quality Productivity and Competitive Position, Cambridge, M.E:MIT, Center for Advanced Engineering Study.
     8. 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.
     9. 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.
     10. Duncan, A. (1971), "The Economic Design of Charts Where There Is a Multiplicity of Assignable Cause", Journal of the American Statistical Association, Vol. 66, pp.107-121.
     11. Hunter, J. S. (1986), "The Exponentially Weighted Moving Average",Journal of Quality Technology, Vol. 18, No. 4, pp.203-210.
     12. Juran, J. M. (1989), Juran on Leadership for Quality, Maxwell Macmillan International, New York.
     13. Lorenzen, T., and Vance, L. C. (1986), "The Economic Design of Control Charts: A Unified Approach", Technometrics, Vol. 28, No. 1, pp.3-10.
     14. Lucas, J. M. (1982), "Combined Shewhart-CUSUM Quality Control Schemes", Journal of Quality Technology, Vol. 14, pp.51-59.
     15. Lucas, J. M., and Saccucci M. S. (1987),"Exponentially Weighted Moving Average Control Schemes: Properties and Enhancements", Faculty Working Series Paper 87-5, Drexel University, Dept. of Quantitative Methods.
     16. Lucas, J. M., and Saccucci M. S. (1990), "Exponentially Weighted Moving Average Control Schemes: Properties and Enhancements", Technometrics, Vol. 32, No. 1, pp.1-12.
     17. Montgomery, D. C., Gardiner, J. S., and Pizzano, B. A. (1987),"Statistical Process Control Methods for Detecting Small Process Shifts", in Frontiers in Statistical Quality Control, eds. H.-J. Lenz, G. B. Wetherill, and P. T. Wilrich, Heidelberg, West Germany: Physica-Verlag, pp.161-178.
     18. Montgomery, D. C. (1996), Introduction to Statistical Quality Control, John Wiley & Sons, Inc., New York.
     19. Montgomery, D. C., Torng, J. C.-C., Cochran, J. K., and Lawrence F. P. (1995), "Statistically Constrained Economic Design of the EWMA Control Chart", Journal of Quality Technology, Vol. 27, No. 3, pp.250-256.
     20. Panagos, M. R., Heikes, R. G., and Montgomery, D. C. (1985),"Economic Design of Control Charts for Two Manufacturing Process Models", Naval Research Logistics Quarterly, Vol. 32, pp.631-646.
     21. Roberts S. W. (1959), "Control Chart Tests Based on Geometric Moving Averages", Technometrics, Vol. 1, pp.239-250.
     22. Robinson, P. B., and Ho, T. Y. (1978), "Average Run Lengths of Geometric Moving Average Charts by Numerical Methods", Technometrics, Vol. 20, pp.85-93.
     23. Ross, S. M. (1993), Introduction to Probability Models, Academic Press.
     24. Saniga, E. M. (1989), "Economic Statistical Control-Chart Designs With an Application to and R Chart", Technometrics, Vol. 31, No. 3, pp.313-320.
     25. Shewhart, W. (1931), Economic Control of Quality of Manufactured Product, D. Van Nostrand Company, Inc.
     26. Torng, J. C.-C., Montgomery, D. C., and Cochran, J. K. (1994), "Economic Design of the EWMA Control Chart", Economic Quality Control, Vol. 9, No. 1, pp.3-23.
描述 碩士
國立政治大學
統計學系
85354009
資料來源 http://thesis.lib.nccu.edu.tw/record/#B2002001550
資料類型 thesis
dc.contributor.advisor 楊素芬zh_TW
dc.contributor.author (作者) 劉泰亨zh_TW
dc.creator (作者) 劉泰亨zh_TW
dc.date (日期) 1998en_US
dc.date.accessioned 21-四月-2016 09:54:39 (UTC+8)-
dc.date.available 21-四月-2016 09:54:39 (UTC+8)-
dc.date.issued (上傳時間) 21-四月-2016 09:54:39 (UTC+8)-
dc.identifier (其他 識別碼) B2002001550en_US
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/85879-
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) 85354009zh_TW
dc.description.abstract (摘要) 隨著經濟不斷的發展與進步，商品市場的需求漸趨多元，廠商彼此之間的競爭愈來愈激烈，為了滿足客戶多元的需求，採用多等級製程的生產方式成為廠商製造產品的一種策略。Doganaksoy, Schmee, and Vandeven (1996)提出使用EWMA管制圖監控多等級產品製程的方法，利用合併資料之EWMA管制圖可以更快速地偵測出同時影響所有等級產品品質特性之非機遇因素是否發生。但是他們並沒有考慮到管制圖的經濟層面，因此本文主要探討如何由經濟觀點設計EWMA管制圖以監控生產多等級產品的製程。zh_TW
dc.description.abstract (摘要) With the progress of the economic of the world and the various demands of the consumers, there is a new strategy to product with multiple product grades. Doganaskoy, Schmee, and Vandeven(1996) had provided a method of using a combined exponentially weighted moving average (EWMA) control charts that allow speedy detection of assignable causes affecting all grades. But this control scheme is not designed from economic viewpoint. In this paper we will discuss how to construct an economic model for the EWMA control chart to monitor the process with multiple product grades.en_US
dc.description.tableofcontents 壹、緒論 1
      一、前言 1
      二、文獻回顧 6
      三、研究動機與目的 10
      四、研究方法 11
      五、本文架構 11
     貳、應用EWMA管制圖追蹤多等級產品之製程 13
      一、傳統EWMA管制圖之介紹 13
      二、EWMA管制圖在多等級產品之應用 15
     參、 二個等級產品下EWMA管制圖之經濟設計 18
      一、製程模式之假設 18
      二、符號定義 21
      三、製程狀態之定義及其發生之機率 24
      四、目標函數之推導 29
      (一)期望循環時間之推導 29
      (二)期望循環成本之推導 33
      (三)目標函數之推導 38
      五、資料分析 39
      (一)最佳設計參數的獲得 39
      (二)敏感度分析 47
      (三)ARL之計算 52
      六、EWMA管制圖之經濟統計設計 58
      (一)經濟統計設計之方法 58
      (二)最佳設計參數之獲得及敏感度分析 60
      (三)與經濟設計結果之比較 68
     肆、 考慮同時影響二個等級產品特性的非機
      遇因素時，EWMA管制圖之經濟設計 72
      一、製程模式之假設 72
      二、符號定義 74
      三、製程狀態之定義及其發生之機率 80
      四、目標函數之推導 83
      (一)期望循環時間之推導 83
      (二)期望循環成本之推導 85
      (三)目標函數之推導 90
     五、資料分析 91
      (一)最佳設計參數的獲得 91
      (二)敏感度分析及舉例說明EWMA經濟管制圖之應用 98
     伍、結論與建議 100
     陸、參考文獻 102
     柒、附錄 105
      附錄一 105
      附錄二 109
      附錄三 110
      附錄四 112
      附錄五 141
      附錄六 145
      附錄七 153		zh_TW
dc.source.uri (資料來源) http://thesis.lib.nccu.edu.tw/record/#B2002001550en_US
dc.subject (關鍵詞) 多等級產品zh_TW
dc.subject (關鍵詞) EWMA管制圖zh_TW
dc.subject (關鍵詞) 非機遇因素zh_TW
dc.subject (關鍵詞) Multiple product gradesen_US
dc.subject (關鍵詞) EWMA control chartsen_US
dc.subject (關鍵詞) Assignable causesen_US
dc.title (題名) EWMA管制圖在多等級產品的管制zh_TW
dc.type (資料類型) thesisen_US
dc.relation.reference (參考文獻) 1. 田口玄一 原著，蘇學恭 翻譯(1986)，品質工程－品質從產品與製 程的設計開始，中國生產力中心.
     2. 楊素芬和鄭明芳(1994)，兩個非機遇因素下S管制圖之經濟設計， 國立政治大學學報，第69期，頁193-214.
     3. Banerjee, P., and Rahim, M. (1987), "The Economic Design of Control Charts : A Renewal Theory Approach", Engineering Optimization, Vol.12 pp.63-73.
     4. Crosby, P. B. (1984), Quality Without Tears: The Art of Hasslefree Management, Mcgraw-Hill, New York.
     5. Crowder, S. V. (1987a), "A Simple Method for Studying Run-Length Distributions of Exponentially Weighted Moving Average Charts",Technometrics , Vol. 29, No. 4, pp.401-407.
     6. Crowder, S. V. (1987b), "Average Run Lengths of Exponentially Weighted Moving Average Control Charts", Journal of Quality Technology, Vol. 19, No. 3, pp.161-164.
     7. Deming, W. E. (1982), Quality Productivity and Competitive Position, Cambridge, M.E:MIT, Center for Advanced Engineering Study.
     8. 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.
     9. 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.
     10. Duncan, A. (1971), "The Economic Design of Charts Where There Is a Multiplicity of Assignable Cause", Journal of the American Statistical Association, Vol. 66, pp.107-121.
     11. Hunter, J. S. (1986), "The Exponentially Weighted Moving Average",Journal of Quality Technology, Vol. 18, No. 4, pp.203-210.
     12. Juran, J. M. (1989), Juran on Leadership for Quality, Maxwell Macmillan International, New York.
     13. Lorenzen, T., and Vance, L. C. (1986), "The Economic Design of Control Charts: A Unified Approach", Technometrics, Vol. 28, No. 1, pp.3-10.
     14. Lucas, J. M. (1982), "Combined Shewhart-CUSUM Quality Control Schemes", Journal of Quality Technology, Vol. 14, pp.51-59.
     15. Lucas, J. M., and Saccucci M. S. (1987),"Exponentially Weighted Moving Average Control Schemes: Properties and Enhancements", Faculty Working Series Paper 87-5, Drexel University, Dept. of Quantitative Methods.
     16. Lucas, J. M., and Saccucci M. S. (1990), "Exponentially Weighted Moving Average Control Schemes: Properties and Enhancements", Technometrics, Vol. 32, No. 1, pp.1-12.
     17. Montgomery, D. C., Gardiner, J. S., and Pizzano, B. A. (1987),"Statistical Process Control Methods for Detecting Small Process Shifts", in Frontiers in Statistical Quality Control, eds. H.-J. Lenz, G. B. Wetherill, and P. T. Wilrich, Heidelberg, West Germany: Physica-Verlag, pp.161-178.
     18. Montgomery, D. C. (1996), Introduction to Statistical Quality Control, John Wiley & Sons, Inc., New York.
     19. Montgomery, D. C., Torng, J. C.-C., Cochran, J. K., and Lawrence F. P. (1995), "Statistically Constrained Economic Design of the EWMA Control Chart", Journal of Quality Technology, Vol. 27, No. 3, pp.250-256.
     20. Panagos, M. R., Heikes, R. G., and Montgomery, D. C. (1985),"Economic Design of Control Charts for Two Manufacturing Process Models", Naval Research Logistics Quarterly, Vol. 32, pp.631-646.
     21. Roberts S. W. (1959), "Control Chart Tests Based on Geometric Moving Averages", Technometrics, Vol. 1, pp.239-250.
     22. Robinson, P. B., and Ho, T. Y. (1978), "Average Run Lengths of Geometric Moving Average Charts by Numerical Methods", Technometrics, Vol. 20, pp.85-93.
     23. Ross, S. M. (1993), Introduction to Probability Models, Academic Press.
     24. Saniga, E. M. (1989), "Economic Statistical Control-Chart Designs With an Application to and R Chart", Technometrics, Vol. 31, No. 3, pp.313-320.
     25. Shewhart, W. (1931), Economic Control of Quality of Manufactured Product, D. Van Nostrand Company, Inc.
     26. Torng, J. C.-C., Montgomery, D. C., and Cochran, J. K. (1994), "Economic Design of the EWMA Control Chart", Economic Quality Control, Vol. 9, No. 1, pp.3-23.		zh_TW