跳到主要內容

臺灣博碩士論文加值系統

(44.201.99.222) 您好!臺灣時間:2022/12/04 00:43
字體大小: 字級放大   字級縮小   預設字形  
回查詢結果 :::

詳目顯示

我願授權國圖
: 
twitterline
研究生:柯芝穎
論文名稱:全製程過度調整下之變動抽樣時間
論文名稱(外文):Economic Design of VSI Control Charts for Monitoring Over-adjusted Process
指導教授:楊素芬楊素芬引用關係
學位類別:碩士
校院名稱:國立政治大學
系所名稱:統計研究所
學門:數學及統計學門
學類:統計學類
論文種類:學術論文
論文出版年:2006
畢業學年度:94
語文別:英文
論文頁數:86
中文關鍵詞:管制圖過度調整製程變動抽樣區間
外文關鍵詞:Control chartsOver-adjusted processVariable sampling intervalMarkov chain
相關次數:
  • 被引用被引用:0
  • 點閱點閱:162
  • 評分評分:
  • 下載下載:0
  • 收藏至我的研究室書目清單書目收藏:0
The over-adjustment means that the process is adjusted unnecessarily when a false alarm occurs. It may result in shifts in process mean and variance affecting the quality of products and have the effect of an increase in variability and cost. In this paper, the economic variable sample interval (VSI) standard and control charts are proposed to monitor effectively the mean and variance of the over-adjusted process. We use a Markov chain approach to derive the design parameters of the standard and charts by the minimum of the cost function. An example of shampoo making process is used to illustrate the application and performance of the proposed VSI standard and charts in detecting shifts in process mean and variance. Furthermore, we compare the cost and performances for the economic FSI (fixed sampling interval) and VSI control charts.
Support for this research was provided in part by the National Science Council of the Republic of China, grant No. NSC 94-2118-M-004-003.
The over-adjustment means that the process is adjusted unnecessarily when a false alarm occurs. It may result in shifts in process mean and variance affecting the quality of products and have the effect of an increase in variability and cost. In this paper, the economic variable sample interval (VSI) standard and control charts are proposed to monitor effectively the mean and variance of the over-adjusted process. We use a Markov chain approach to derive the design parameters of the standard and charts by the minimum of the cost function. An example of shampoo making process is used to illustrate the application and performance of the proposed VSI standard and charts in detecting shifts in process mean and variance. Furthermore, we compare the cost and performances for the economic FSI (fixed sampling interval) and VSI control charts.
Support for this research was provided in part by the National Science Council of the Republic of China, grant No. NSC 94-2118-M-004-003.
1. INTRODUCTION
2. DERIVATION OF THE ECONOMIC OVER-ADJUSTMENT MODEL:
A MARKOV CHAIN APPROACH 5
2.1 Description of the over-adjustment production process 5
2.2 Definition of Notations 11
2.3 Derivation of the expected cycle time 15
2.4 Derivation of the expected cycle cost 26
2.5 Construction of the economic VSI control charts 33
2.6 Performance comparison between the proposed VSI control charts and FSI control charts 34
2.7 An example 36
2.8 Sensitivity analyses for the economic VSI control charts 45
2.9 The cost comparison between the economic VSI charts and Shewhart-type economic VSI charts 54
3. COMPARISON OF COSTS BETWEEN ECONOMIC FSI AND VSI CONTROL CHARTS 56
4. CONCLUSIONS 60
REFERENCE 61
APPENDICES 64
Appendix 1 64
Appendix 2 67
Appendix 3 68
Appendix 4 70
Appendix 5 71
Appendix 6 72
Appendix 7 73
Appendix 8 77
Appendix 9 81
Appendix 10 83
Appendix 11 85




LIST OF FIGURES
1. Figure2.1 VSI Z1 control chart 7
2. Figure2.2 VSI Z2 control chart 7
3. Figure2.3 Three regions on the VSI Z1 control chart 8
4. Figure2.4 Three regions on the VSI Z2 control chart 8
5. Figure2.5 The diagram of Ti , i=3,6,7,8,9 21
6. Figure2.6 The diagram of Ci , i=3,6,7,8,9 29
7. Figure2.7 The Shewhart-type economic VSI control charts of the example 38
8. Figure2.8 The economic VSI control charts of the example 38
9. Figure2.9 Search for the optimum design parameters of Shewhart-type economic VSI Z1 and Z2 charts 43
10. Figure2.10 Search for the optimum design parameters of economic VSI Z1 and Z2 charts 44





LIST OF TABLES
1. Table2.1 Definition for 18 process states 15
2. Table2.2 Comparison between the FSI and VSI charts for the example of shampoo making process 40
3. Table2.3 Possible values for the input parameters 45
4. Table2.4 The optimum design parameters and cost of the Shewhart-type economic VSI charts (n=5) 47
5. Table2.5 The optimum design parameters and cost of the economic VSI charts (n=5) 48
6. Table2.6 The results of the sensitivity analyses (n=5) 50
7. Table2.7 The variations of the optimum design parameters and cost for the change of n 52
8. Table2.8 Comparison between the economic VSI charts and Shewhart-type economic VSI charts (n=5) 55
9. Table2.9 The cost comparison between the economic FSI and Shewhart-type economic VSI control charts (n=5) 56
10.Table2.10 The cost comparison between the economic FSI and economic VSI control charts (n=5) 58
[1] Amin, R.W. , Miller, R.W. (1993), “A robustness study of charts with variable sampling intervals”, Journal of Quality Technology, Vol. 25, pp. 36-44
[2] Baxley, R.V. (1995), “An application of variable sampling interval control charts”, Journal of Quality Technology, Vol. 27 , pp. 275-282
[3] Collani, E.V. , Saniga, E.M. , Weigand (1994), “Economic adjustment designs for control charts”, IIE Trans, Vol. 26, pp.37-43
[4] Duncan, A.J. (1956), “The Economic design of charts used to Maintain current control of a process”, Journal of American Statistical Association, Vol. 51, pp. 228-242
[5] Deming, W.E. (1982), “Quality, productivity and competition Position”, MIT Press, Cambridge, MA
[6] Ho, C, Case, K (1994), “An economic design of the zone control chart for jointly monitoring process centering and variation”, Comput Indust Eng, Vol.26, pp.213–221
[7] Lorenzen, T. , Vance, L. (1986), “The Economic design of control charts: A unified approach”, Technometrics, Vol. 28, pp.3-10
[8] Montgomery, D.C. (1980), “The economic design of control charts: a review and literature survey”, Journal of Quality Technology, Vol. 12, pp.75-78
[9] Reynolds, M.R. (1996), “Shewhart and EWMA Variable Sampling Interval Control Charts with Sampling at Fixed Times”, Journal of Quality Technology, Vol. 28, pp. 199-212
[10] Reynolds, M.R. , Amin, R.W., Arnold, J.C., Nachlas, J.A. (1988), “ charts with variable sampling intervals”, Technometrics, Vol. 30, pp.181-192
[11] Reynolds, M.R. , Amin, R.W., Arnold, J.C. (1990), “CUSUM Charts with Variable Sampling Intervals”, Technometrics, Vol. 32, No. 4, November 1990, pp. 371-384
[12] Reynolds, M.R. , Arnold, J.C. , Baik, J.W. (1996), ” Variable sampling interval charts in the presence of correlation”, Journal of Quality Technology Vol. 28, pp. 1-28
[13] Runger, G.C. , Montgomery, D.C. (1993), “Variable sampling enhancements for Shewhart control charts”, IIE Transactions, Vol. 25, pp. 41-51
[14] Runger, G.C. , Pignatiello, J.J. (1991), “Variable sampling for process control”, Journal of Quality Technology, Vol. 23, pp. 135-155
[15] Shewhart W (1931), ”Economic control of quality of manufactured product”, D Van Nostrand, New York
[16] Ross, S.M (1993), Introduction to probability models. Academic Press, New York
[17] Vance, L.C. (1983), “A bibliography of statistical quality control chart techniques”, Journal of Quality Technology, Vol. 15, pp.59-62
[18] Woodall, W.H. (1986), “Weakness of the economic design of control charts”, Technometrics, Vol. 28, pp.408-409
[19] Saccuci, M.S. , Amin, R.W. , Lucas, J.M. (1992), “Exponentially weighted moving average control schemes with variable sampling intervals”, Communication in Statistics-Simulation and Computation, Vol. 21, pp. 627-657
[20] Svoboda, L. (1991), ”Economic design of control charts: a review and literature survey”, in Statistical Process Control in Manufacturing, J. B. Keats and D. C. Montgomery, Dekker, New York
[21] Yang, S. , Yang, C. (2004), ”Economic statistical process control for over-adjusted process means”, International Journal Quality and Reliability Management, Vol. 21, pp. 412-424
[22] Yang, C. , Yang, S. (2006), ”Design of ASI control chart for controlling over-adjusted process mean”, ISBIS 5, Lima, Peru.
QRCODE
 
 
 
 
 
                                                                                                                                                                                                                                                                                                                                                                                                               
第一頁 上一頁 下一頁 最後一頁 top