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題名 損失函數在■管制圖設計上的應用
The application of loss function in ■ control chart design
作者 施乃萍
Shin, Nai Ping
貢獻者 楊素芬
Yang, Sue Fen
施乃萍
Shin, Nai Ping
關鍵詞 損失函數
管制圖
更新報酬過程
Loss Function
Control Chart
Renewal Reward Process
日期 1994
1993
上傳時間 29-Apr-2016 15:31:07 (UTC+8)
摘要 最近三十年來,最佳經濟設計管制圖已被考慮用來維持製程的穩定.由於在
參考文獻 [1]王政(1987)，”田口式品質損失法函數與製程規格最佳化”，品質管制月刊，第23卷，第11期，pp9-28.
[2]楊素芬，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，第2冊.
[3]Banerjee, P. and Rahim, M.(1987), “The Economic Design of Control Chart : A Rnewal Theory Approach”, Engineerin Optimization, Vol.12, pp63-73.
[4]Chung, K(1990), “A Simplified Procedure for the Economic Design of X- Charts”, Internation Journal of Production Research, Vol.28, No.7, pp1239-1246.
[5]Chung, K. (1991), “Economic Designs of Attribute Control Charts for Multiple Assignable Causes”, Optimization 22, 5, pp775-786.
[6]Chung, K. and Chen, S. (1992), “Joint Economically Optimal Design of X and S2 Control Charts”, Engineering Optimization, Vol.19, pp101-113.
[7]Duncan, A.(1956), “The Economic Design of X Charts Used to Maintain Current Control of a Process”, Journal of the American Statistical Association, Vol.51, pp228-242.
[8]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.
[9]IMSL Library (1989), User’s Manual Stat/Library Fortran Subroutines, IMSL, Inc.
[10]Koo, T. and Lin, L. (1992), “Economic Design of X –bar Chart When Taguchi’s Loss Function is Considered”, Proceedings of The Asia Quality Control Symposium,pp166-178.
[11]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.
[12]Ross, S. (1989) , Introduction to Probability Models ,Academic Press, Inc.
[13]Saniga, E. (1979), “Joint Economically Optimal Design of X and S2 Control Charts”, Journal of Management Science, Vol.24, No.4, pp420-431.
[14]Taguchi, G. (1981), “On-line Quality Control During Production”, Japaness Standard Association, Tokyo.
[15]Tagaras, G. and Le, H. (1988), “Economic Design of Control Charts with Different Control Limits for Different Assignable Causes”, Management Science, Vol.34, No.11. pp1347-1366.
[16]Yang S. (1933), “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
81354015
資料來源 http://thesis.lib.nccu.edu.tw/record/#B2002003828
資料類型 thesis
dc.contributor.advisor 楊素芬zh_TW
dc.contributor.advisor Yang, Sue Fenen_US
dc.contributor.author (Authors) 施乃萍zh_TW
dc.contributor.author (Authors) Shin, Nai Pingen_US
dc.creator (作者) 施乃萍zh_TW
dc.creator (作者) Shin, Nai Pingen_US
dc.date (日期) 1994en_US
dc.date (日期) 1993en_US
dc.date.accessioned 29-Apr-2016 15:31:07 (UTC+8)-
dc.date.available 29-Apr-2016 15:31:07 (UTC+8)-
dc.date.issued (上傳時間) 29-Apr-2016 15:31:07 (UTC+8)-
dc.identifier (Other Identifiers) B2002003828en_US
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/88360-
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) 81354015zh_TW
dc.description.abstract (摘要) 最近三十年來,最佳經濟設計管制圖已被考慮用來維持製程的穩定.由於在zh_TW
dc.description.tableofcontents 1. 導論……………………………………………………………………………………………………….…………1

2. 平均社會損失的推導………………………………….……………………………………………………3
2.1品質損失函數的說明………………………………………………………………………….………4
2.2成品不經檢驗時平均社會損失的計算………………………………………………………7
2.3成品經過檢驗時平均社會損失的計算………………………………………………………9

3. 二個非機遇因素下製程本模式的建立……………………………….…………………………15
3.1只允許一個非機遇因素發生在製程中的情形………………………………………..18
3.2允許二個非機遇因素可同時發生在製程中的情形……..…………………………24
3.3目標函數的推導………………………………………………………………………………………31

4. 數值例子與敏感度分析…………………..…………….………………………………………………32
4.1 管制圖最適設計參數值的決定………………………………………………………………32
4.2 敏感度分析…………………………………..…………………………………………………………40
4.3 比較損失函數是否對稱及產品是否經過檢驗等四種情形
下的最適成本及最適設計參數值……………………………………………………….…52
4.4 X經濟管制圖與Shwehart X管制圖成本的比較…………………………....………58
4.5 X經濟管制圖的建立與應用……………………………………………….……………………60

5. 結論與建議………………………………………………………………………………….…………………61
6. 參考文獻……………………………………………………………………………………………..…………62
7. 附錄………………………………………………………………………………………………………………..64		zh_TW
dc.source.uri (資料來源) http://thesis.lib.nccu.edu.tw/record/#B2002003828en_US
dc.subject (關鍵詞) 損失函數zh_TW
dc.subject (關鍵詞) 管制圖zh_TW
dc.subject (關鍵詞) 更新報酬過程zh_TW
dc.subject (關鍵詞) Loss Functionen_US
dc.subject (關鍵詞) Control Charten_US
dc.subject (關鍵詞) Renewal Reward Processen_US
dc.title (題名) 損失函數在■管制圖設計上的應用zh_TW
dc.title (題名) The application of loss function in ■ control chart designen_US
dc.type (資料類型) thesisen_US
dc.relation.reference (參考文獻) [1]王政(1987)，”田口式品質損失法函數與製程規格最佳化”，品質管制月刊，第23卷，第11期，pp9-28.
[2]楊素芬，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，第2冊.
[3]Banerjee, P. and Rahim, M.(1987), “The Economic Design of Control Chart : A Rnewal Theory Approach”, Engineerin Optimization, Vol.12, pp63-73.
[4]Chung, K(1990), “A Simplified Procedure for the Economic Design of X- Charts”, Internation Journal of Production Research, Vol.28, No.7, pp1239-1246.
[5]Chung, K. (1991), “Economic Designs of Attribute Control Charts for Multiple Assignable Causes”, Optimization 22, 5, pp775-786.
[6]Chung, K. and Chen, S. (1992), “Joint Economically Optimal Design of X and S2 Control Charts”, Engineering Optimization, Vol.19, pp101-113.
[7]Duncan, A.(1956), “The Economic Design of X Charts Used to Maintain Current Control of a Process”, Journal of the American Statistical Association, Vol.51, pp228-242.
[8]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.
[9]IMSL Library (1989), User’s Manual Stat/Library Fortran Subroutines, IMSL, Inc.
[10]Koo, T. and Lin, L. (1992), “Economic Design of X –bar Chart When Taguchi’s Loss Function is Considered”, Proceedings of The Asia Quality Control Symposium,pp166-178.
[11]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.
[12]Ross, S. (1989) , Introduction to Probability Models ,Academic Press, Inc.
[13]Saniga, E. (1979), “Joint Economically Optimal Design of X and S2 Control Charts”, Journal of Management Science, Vol.24, No.4, pp420-431.
[14]Taguchi, G. (1981), “On-line Quality Control During Production”, Japaness Standard Association, Tokyo.
[15]Tagaras, G. and Le, H. (1988), “Economic Design of Control Charts with Different Control Limits for Different Assignable Causes”, Management Science, Vol.34, No.11. pp1347-1366.
[16]Yang S. (1933), “Economic Design of Joint X and R Control Charts : A Markov Chain Method.”. JNCU, Vol.66, No.2, pp445-494.		zh_TW