| dc.contributor.advisor | 楊素芬 | zh_TW |
| dc.contributor.author (Authors) | 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 (Other Identifiers) | 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 |
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