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題名 馬可夫鏈方法在 S 管制圖經濟設計上的應用
The Economic Design of S Control Chart Using Markov Chain Method
作者 謝美秀
Shieh, Michelle
貢獻者 楊素芬
Yang, Su Fen
謝美秀
Michelle Shieh
關鍵詞 管制圖
非隨機因素
馬可夫鏈
更新過程
Control Charts
Assignable Causes
Markov Chain
Renewal Process
日期 1994
1993
上傳時間 29-四月-2016 15:31:14 (UTC+8)
摘要 使用管制圖追蹤品質特性在製造過程中的變異前，使用者應先決定管制圖
參考文獻 [1]張正賢編譯(1992)，統計品質管制，華泰書局。
[2]鷲尾泰俊著，蔡明三編譯(1991)，實驗計劃法，華泰書局。


[3] Alt, F.(1981), “One Control Chart for the Mean and Variance”, Proceeding of Industrial Engineering Conference, Washington, D. C. pp143-145.
[4]Banerjee, P. and Rahim, M. (1987), “The Economic Design of Control Charts : A Renewal Theory Approach”, Engineering Optimization, Vol. 12, pp63-73.
[5]Besterfield, D. (1979), Quality Control, Prentice-Hall, Englewood cliffs, N. J.
[6]Chung, K. and Chen, S. (1992), “Joint Economically Optimal Design of X and S2 Control Charts”, Engineering Optimization, Vol. 19,pp101-103.
[7]Collani, V. and Sheil, J. (1989), “An Approach to Controlling Process Variability”, Journal of Quality Technology, Vol. 21, no.2, April, pp87-96.
[8]Duncan, A. (1956), “The Economic Design of X Chart Used to Maintain Current Control of a Process”, Journal of the American Statistical Association, Vol. 51, pp228-242.
[9]Duncan, A.(1971), “The Economic Design of X Charts When There Is A Multiplicity of Assignable Causes”, Journal of the American Statistical Association, Vol. 66, no.33, pp107-121.
[10]Duncan ,A.(1974),Quality Control and Industrial Statistics, Richard D. Irwin. Inc.
[11]Gitlow, H., Gitlow, S.,Oppenheim, A. & Oppenheim, R. (1989), Tools and Methods for the Improvement of Quality,華泰書局
[12]IMSL Library (1989), User’s Manual Math/Library, Fortran Subroutines, IMSL, Inc.
[13]Karlin, S. & Taylor, H. (1976), A First Course in Stochastic, Processes, Academic Press Inc., New York.
[14]Montgomery, D. (1980), “The Economic Design of Control Charts: A Review and Literature Survey “ , Journal of Quality Technology, Vol. 12, NO.2, April, pp75-86.
[15]Panagos,M., Russell, H. & Montgomery, D.(1985),” Economic Design of X Charts : For Two Manufacturing Models” , Naval Research Logistics Quarterly, Vol. 32, pp631-646.
[16]Rahim, M.(1989),”Determination of Optimal Design Parameters of Joint X and R Charts”, J.Q.T., Vol21, No.1,pp65-70.
[17]Ross, S.(1989), Introduction to Probability Models, Academic Press.
[18]Saniga, E. (1979),”Joint Economically Optimal Design of X and R Control Charts”, Management Science, Vol. 24, No.4, pp420-431.
[19]Yang, S. (1993), “Economic Design of Joint X and R Control Charts :A Markov Chain Method”, JNCU,Vol. 66, NO.2, pp445-494.
描述 碩士
國立政治大學
統計學系
G81354013
資料來源 http://thesis.lib.nccu.edu.tw/record/#B2002003831
資料類型 thesis
dc.contributor.advisor 楊素芬zh_TW
dc.contributor.advisor Yang, Su Fenen_US
dc.contributor.author (作者) 謝美秀zh_TW
dc.contributor.author (作者) Michelle Shiehen_US
dc.creator (作者) 謝美秀zh_TW
dc.creator (作者) Shieh, Michelleen_US
dc.date (日期) 1994en_US
dc.date (日期) 1993en_US
dc.date.accessioned 29-四月-2016 15:31:14 (UTC+8)-
dc.date.available 29-四月-2016 15:31:14 (UTC+8)-
dc.date.issued (上傳時間) 29-四月-2016 15:31:14 (UTC+8)-
dc.identifier (其他 識別碼) B2002003831en_US
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/88363-
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) G81354013zh_TW
dc.description.abstract (摘要) 使用管制圖追蹤品質特性在製造過程中的變異前，使用者應先決定管制圖zh_TW
dc.description.tableofcontents 壹‧緒論 ……………………………………………1
一. 前言 ..............................................1
二. 研究動機與目的 ....................................4
(一) 研究動機 ......................................4
(二) 研究目的 ......................................5
三. 文獻回顧 .........................................5
四. 研究方法 .........................................8
五. 本文架構 .........................................9
貳. 多重非隨機因素製程模式 ...............11
一. 建立製程模式之假設 ................................11
二. 製程之描述 ........................................13
三. 一般製程模式之優點 ................................17
參. 目標函數的推導 .......................18
一. 平均循環時間的推導 ................................18
二. 平均循環成本的推導 ................................21
三. 目標函數的推導 ....................................25
四. 小結 ..............................................25
肆. 考慮二個非隨機因素的特例 .............26
一. 貳個非隨機因素製程模式的建立 .......................26
二. 目標函數的推導 ....................................,30
(一) 平均循環時間 ..................................30
(二) 平均循環成本 ..................................32
(三) 目標函數 ......................................36
伍. 資料分析 .............................37
一. 直接搜尋法 ........................................37
二. 敏感度分析 ........................................43
三. 變異數分析與回應圖(表)分析 ........................52
四. 本研究設計的S管制圖與Shewhart S管制圖成本之比較
....................................................70
五. S經濟管制圖與Shewhart S管制圖偵測力之比較 ........74
陸. 結論與建議 ...........................84
柒. 參考文獻 .............................85		zh_TW
dc.source.uri (資料來源) http://thesis.lib.nccu.edu.tw/record/#B2002003831en_US
dc.subject (關鍵詞) 管制圖zh_TW
dc.subject (關鍵詞) 非隨機因素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.subject (關鍵詞) Control Chartsen_US
dc.subject (關鍵詞) Assignable Causesen_US
dc.subject (關鍵詞) Markov Chainen_US
dc.subject (關鍵詞) Renewal Processen_US
dc.title (題名) 馬可夫鏈方法在 S 管制圖經濟設計上的應用zh_TW
dc.title (題名) The Economic Design of S Control Chart Using Markov Chain Methoden_US
dc.type (資料類型) thesisen_US
dc.relation.reference (參考文獻) [1]張正賢編譯(1992)，統計品質管制，華泰書局。
[2]鷲尾泰俊著，蔡明三編譯(1991)，實驗計劃法，華泰書局。


[3] Alt, F.(1981), “One Control Chart for the Mean and Variance”, Proceeding of Industrial Engineering Conference, Washington, D. C. pp143-145.
[4]Banerjee, P. and Rahim, M. (1987), “The Economic Design of Control Charts : A Renewal Theory Approach”, Engineering Optimization, Vol. 12, pp63-73.
[5]Besterfield, D. (1979), Quality Control, Prentice-Hall, Englewood cliffs, N. J.
[6]Chung, K. and Chen, S. (1992), “Joint Economically Optimal Design of X and S2 Control Charts”, Engineering Optimization, Vol. 19,pp101-103.
[7]Collani, V. and Sheil, J. (1989), “An Approach to Controlling Process Variability”, Journal of Quality Technology, Vol. 21, no.2, April, pp87-96.
[8]Duncan, A. (1956), “The Economic Design of X Chart Used to Maintain Current Control of a Process”, Journal of the American Statistical Association, Vol. 51, pp228-242.
[9]Duncan, A.(1971), “The Economic Design of X Charts When There Is A Multiplicity of Assignable Causes”, Journal of the American Statistical Association, Vol. 66, no.33, pp107-121.
[10]Duncan ,A.(1974),Quality Control and Industrial Statistics, Richard D. Irwin. Inc.
[11]Gitlow, H., Gitlow, S.,Oppenheim, A. & Oppenheim, R. (1989), Tools and Methods for the Improvement of Quality,華泰書局
[12]IMSL Library (1989), User’s Manual Math/Library, Fortran Subroutines, IMSL, Inc.
[13]Karlin, S. & Taylor, H. (1976), A First Course in Stochastic, Processes, Academic Press Inc., New York.
[14]Montgomery, D. (1980), “The Economic Design of Control Charts: A Review and Literature Survey “ , Journal of Quality Technology, Vol. 12, NO.2, April, pp75-86.
[15]Panagos,M., Russell, H. & Montgomery, D.(1985),” Economic Design of X Charts : For Two Manufacturing Models” , Naval Research Logistics Quarterly, Vol. 32, pp631-646.
[16]Rahim, M.(1989),”Determination of Optimal Design Parameters of Joint X and R Charts”, J.Q.T., Vol21, No.1,pp65-70.
[17]Ross, S.(1989), Introduction to Probability Models, Academic Press.
[18]Saniga, E. (1979),”Joint Economically Optimal Design of X and R Control Charts”, Management Science, Vol. 24, No.4, pp420-431.
[19]Yang, S. (1993), “Economic Design of Joint X and R Control Charts :A Markov Chain Method”, JNCU,Vol. 66, NO.2, pp445-494.		zh_TW