| dc.contributor.advisor | 楊素芬 | zh_TW |
| dc.contributor.author (作者) | 柯芝穎 | zh_TW |
| dc.creator (作者) | 柯芝穎 | zh_TW |
| dc.date (日期) | 2005 | en_US |
| dc.date.accessioned | 2009-09-14 | - |
| dc.date.available | 2009-09-14 | - |
| dc.date.issued (上傳時間) | 2009-09-14 | - |
| dc.identifier (其他 識別碼) | G0093354024 | en_US |
| dc.identifier.uri (URI) | https://nccur.lib.nccu.edu.tw/handle/140.119/30907 | - |
| dc.description (描述) | 碩士 | zh_TW |
| dc.description (描述) | 國立政治大學 | zh_TW |
| dc.description (描述) | 統計研究所 | zh_TW |
| dc.description (描述) | 93354024 | zh_TW |
| dc.description (描述) | 94 | zh_TW |
| dc.description.abstract (摘要) | 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. | zh_TW |
| dc.description.abstract (摘要) | 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. | en_US |
| dc.description.tableofcontents | 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 | zh_TW |
| dc.language.iso | en_US | - |
| dc.source.uri (資料來源) | http://thesis.lib.nccu.edu.tw/record/#G0093354024 | en_US |
| dc.subject (關鍵詞) | 管制圖 | zh_TW |
| dc.subject (關鍵詞) | 過度調整製程 | zh_TW |
| dc.subject (關鍵詞) | 變動抽樣區間 | zh_TW |
| dc.subject (關鍵詞) | Control charts | en_US |
| dc.subject (關鍵詞) | Over-adjusted process | en_US |
| dc.subject (關鍵詞) | Variable sampling interval | en_US |
| dc.subject (關鍵詞) | Markov chain | en_US |
| dc.title (題名) | 全製程過度調整下之變動抽樣時間 | zh_TW |
| dc.title (題名) | Economic Design of VSI Control Charts for Monitoring Over-adjusted Process | en_US |
| dc.type (資料類型) | thesis | en |
| dc.relation.reference (參考文獻) | [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 | zh_TW |
| dc.relation.reference (參考文獻) | [2] Baxley, R.V. (1995), “An application of variable sampling interval control charts”, Journal of Quality Technology, Vol. 27 , pp. 275-282 | zh_TW |
| dc.relation.reference (參考文獻) | [3] Collani, E.V. , Saniga, E.M. , Weigand (1994), “Economic adjustment designs for control charts”, IIE Trans, Vol. 26, pp.37-43 | zh_TW |
| dc.relation.reference (參考文獻) | [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 | zh_TW |
| dc.relation.reference (參考文獻) | [5] Deming, W.E. (1982), “Quality, productivity and competition Position”, MIT Press, Cambridge, MA | zh_TW |
| dc.relation.reference (參考文獻) | [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 | zh_TW |
| dc.relation.reference (參考文獻) | [7] Lorenzen, T. , Vance, L. (1986), “The Economic design of control charts: A unified approach”, Technometrics, Vol. 28, pp.3-10 | zh_TW |
| dc.relation.reference (參考文獻) | [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 | zh_TW |
| dc.relation.reference (參考文獻) | [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 | zh_TW |
| dc.relation.reference (參考文獻) | [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 | zh_TW |
| dc.relation.reference (參考文獻) | [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 | zh_TW |
| dc.relation.reference (參考文獻) | [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 | zh_TW |
| dc.relation.reference (參考文獻) | [13] Runger, G.C. , Montgomery, D.C. (1993), “Variable sampling enhancements for Shewhart control charts”, IIE Transactions, Vol. 25, pp. 41-51 | zh_TW |
| dc.relation.reference (參考文獻) | [14] Runger, G.C. , Pignatiello, J.J. (1991), “Variable sampling for process control”, Journal of Quality Technology, Vol. 23, pp. 135-155 | zh_TW |
| dc.relation.reference (參考文獻) | [15] Shewhart W (1931), ”Economic control of quality of manufactured product”, D Van Nostrand, New York | zh_TW |
| dc.relation.reference (參考文獻) | [16] Ross, S.M (1993), Introduction to probability models. Academic Press, New York | zh_TW |
| dc.relation.reference (參考文獻) | [17] Vance, L.C. (1983), “A bibliography of statistical quality control chart techniques”, Journal of Quality Technology, Vol. 15, pp.59-62 | zh_TW |
| dc.relation.reference (參考文獻) | [18] Woodall, W.H. (1986), “Weakness of the economic design of control charts”, Technometrics, Vol. 28, pp.408-409 | zh_TW |
| dc.relation.reference (參考文獻) | [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 | zh_TW |
| dc.relation.reference (參考文獻) | [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 | zh_TW |
| dc.relation.reference (參考文獻) | [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 | zh_TW |
| dc.relation.reference (參考文獻) | [22] Yang, C. , Yang, S. (2006), ”Design of ASI control chart for controlling over-adjusted process mean”, ISBIS 5, Lima, Peru. | zh_TW |
