簡易檢索 / 詳目顯示
| 研究生： |
鄭明芳 Jeng, Ming Fang |
|---|---|
| 論文名稱： |
S管制圖之經濟設計:更新理論方法 Economic Design of S Control Chart : A Renewal Theory Approach |
| 指導教授： |
楊素芬
Yang, Su Fen |
| 學位類別： |
碩士
Master |
| 系所名稱： |
商學院 - 統計學系 Department of Statistics |
| 論文出版年： | 1994 |
| 畢業學年度： | 82 |
| 語文別： | 中文 |
| 論文頁數： | 63 |
| 中文關鍵詞： | S 經濟管制圖 、非隨機因素 、更新理論 |
| 外文關鍵詞： | Economic S Control Chart, Assignable Causes, Renewal Theory |
| 相關次數： | 點閱：95 下載：0 |
| 分享至: |
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管制圖設計的經濟模式在最近三十年已經被廣泛的研究。本研究利用更新
理論方法(Renewal Theory Approach) 解出兩個非隨機因素下之S 經濟管
制圖。與其它的多重非隨機因素製程模式相比較，我們的模式不僅假設更
合理且以此方法表示平均循環時間(The Expected Cycle Time) 及平均循
環成本(The Expected Cycle Cost)會比擴展Duncan的方法或其它的方法
簡單容易。文中以數值例子說明建立 S 經濟管制圖的過程，並比較 S經
濟管制圖與Shewhart S 管制圖成本的大小及偵錯能力。另外，當製程上
有多重非隨機因素發生時，其成本模式也可容易的以更新理論方法擴展而
得。在實務上，若業者希望以最小成本維持製程之穩定，則可依本文所提
出的方法建立經濟管制圖。
壹 導論………………………………………………………………………………………………………………..1
一 研究動機與目的…………………………………………………………………..………………………3
(一) 研究動機……………………………………………………………………….…………………………3
(二) 研究目的……………………………………………………………………….…………………………4
二 研究方法………………………………………………………………………………………………………4
三 研究內容與架構…………………………………………………………………………………………..5
貳 文獻回顧與探討…………………………………………………….………………………………………7
參 二個非隨機因素製程模式之建立………………………………….…………………….………11
一 建立製程模式所需之假設……………………………………………………………….…………11
二 製程狀態的定義………………………………………………………..…………………….…………14
三 各個製程狀態發生之機率………………………………………………………….………………15
四 期望循環時間之推導…………………………………………………………………………………17
五 τ的定義與推導…………………………………………………………………………………………19
六 期望循環成本之推導…………………………………………………………………………………22
七 目標函數之推導……………………………………………………….…..……………………………25
肆 資料分析………………………………………………………………..….…………………………………27
一 直接搜尋法…………………………………………………………………………………………………27
二 最佳參數值之獲得…………………………………………………………….………………………32
三 S經濟管制圖與Shewhart S管制圖成本之比較…………………………………….…38
四 S經濟管制圖與Shewhart S管制圖對製程失控之偵測
能力比較…………………………………………………………………………………….………………41
伍 結論與建議……………………………………………………………………………………..……………54
陸 參考文獻………………………………………………………………………………………………………55
柒 附錄………………………………………………………………………………………………………………56
[1]Alt, F.(1981), “One Control Chart for the Mean and Variance”, Proceeding of Industrial Engineering Conference, Washington, D. C. pp143-145.
[2]Banerjee, P. and Rahim, M. (1987), “ The Economic Design of Control Charts : A Renewal Theory Approach” , Engineering Optimization, Vol. 12, pp63-73.
[3]Besterfield, D. (1979), Quality Control, Prentice-Hall, Englewood Cliffs, N. J.
[4]Chung, K. and Chen, S. (1992), “ Joint Economically Optimal Design of X and S2
Control Charts”, Engineering Optimization, Vol. 19, pp101-113.
[5]Collani, V. and Sheil, J. (1989), “An Approach to Controlling Process Variability”, Journal of Quality Technology, Vol. 21, no.2, April, pp87-96.
[6]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.
[7]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.
[8]Duncan, A. (1974), Quality Control and Industrial Statistics, Richard D. Irwin. Inc
[9]Gitlow, H., Gitlow, S., Oppenheim ,A. and Oppenheim ,R.,(1989), Tools and Methods for the Improvement of Qualitv, Richard D. Irwin,Inc.
[10]IMSL Library (1989) , User’s Manual Math/Library, Fortran Subroutines, IMSL, Inc.
[11]Juran, J. (1979), Quality Control Handbook, McGraw-Hill, Inc.
[12]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.
[13]Moen, R., Nolan, T. ,and Provost, L.(1991), Improving Quality Through Planned Experimentation, McGraw-Hill,Inc.
[14]Panagos, M. ,Russell, H. and Montgomery, D. (1985),” Economic Design of X Charts: For Two Manufacturing Models” , Naval Research LogisticsQuarterly, Vol. 32. pp631-646.
[15]Rahim, M., Lashkari, R. and Banerjee, P. (1988).” Joint Economic Design of Mean and Variance Control Charts”, Engineering Optimization, 14, pp65-78.
[16]Ross, S. (1989), Introduction to Probability Models, Academic Press.
[17]Saniga, E. (1979), “Joint Economically Optimal Design of X and R Control Charts”, Management Science, Vol. 24, No.4, pp420-431.
[18]Spanos, C. (1992), “Statistical Process Control in semiconductor Manufacturing”,Proceeding of IEEE, June.
[19]Shewhart W. (1931), Economic Control of Quality of Manufactured Product, D. Van Nostrand Company, Inc.
[20]Yang, S. (1993).”Economic Design of Joint X and R Control Charts : A Markov Chain Method”, JNCU, Vol. 66, No.2, pp445-494.
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