| dc.contributor.advisor | 楊素芬 | zh_TW |
| dc.contributor.author (Authors) | 蘇惠君 | zh_TW |
| dc.creator (作者) | 蘇惠君 | zh_TW |
| dc.date (日期) | 2003 | 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) | G0091354003 | en_US |
| dc.identifier.uri (URI) | https://nccur.lib.nccu.edu.tw/handle/140.119/30882 | - |
| 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) | 91354003 | zh_TW |
| dc.description (描述) | 92 | zh_TW |
| dc.description.abstract (摘要) | 近年來,許多調適性管制圖都只探討單一製程,然而現今存在許多相依製程的問題.因此本論文提出兩相依製程之調適性管制圖,並以ATS測量管制圖的績效.本論文所提出的變動抽樣間隔時間之調適性管制圖對於偵測製程中幅度及小幅度的偏移有良好的績效.此外,本論文所提出的變動抽樣樣本大小及變動抽樣間隔時間之調適性管制圖對於偵測製程極小幅度的偏移有良好的績效. | zh_TW |
| dc.description.abstract (摘要) | In recent years, many research papers about adaptive control charts all consider a single process step. However, there are many multiple process steps in industry process. In this article, we propose adaptive control charts to monitor two dependent process steps, and their average time to signal (ATS) is calculated by Markov chain approach to measure the performance of these proposed control charts. It has been shown that the performance of the adaptive sampling interval (ASI) control charts in detecting small and moderate shifts in process means is better than the fixed sampling interval control charts, especially for small shifts, and the proposed adaptive sample size and sampling interval (ASSI) control charts have better performance in detecting very small shifts in process means than the fixed sample size and sampling interval control charts and the adaptive sample size control charts. | en_US |
| dc.description.tableofcontents | PARTⅠ: ADAPTVIE SAMPLING INTERVAL AND CONTROL CHARTS CONTENTS 1 INTRODUCTION.....................................................................................................1 2 PROCESS DESCRIPTION.......................................................................................7 3 PRINCIPLES OF THE ASI AND CONTROL CHARTS FOR TWO DEPENDENT PROCESS STEPS……………….………………………………….8 4 DETERMINATION OF THE WARNING LIMITS ON THE ASI AND CONTROL CHARTS………………………...…………………………..……..….13 5 PERFORMANCE MEASUREMENT FOR THE ASI AND CONTROL CHARTS……………………….……………………………..……………………15 6 AN EXAMPLE…………………………………………………………….………17 7 SENSITIVITY ANALYSES……………………….………………………………21 8 COMPARISONS BETWEEN ASI AND FSI AND CONTROL CHARTS……………………………………………………………………….…..22 9 CONCLUSIONS………………………..………………………….……………....23 REFERENCES……………………………………………………………..………...50 APPENDICES………………………………………………………………………..53 Appendix 1.…………………………………………………………………………..53 Appendix 2…………………………………………………………………………...54 Appendix 3…………………………………………………………………………...60 Appendix 4…………………………………………………………………………...61 Appendix 5…………………………………………………………………………...63 Appendix 6…………………………………………………………………………...64 LIST OF TABLES Table 2.1 Possible distributions of X and Y……………………...…………………..25 Table 3.1 Possible distributions of X and e………………………………...…..…….25 Table 5.1 The 36 process states………………………………..…………..…………25 Table 7.1 Values of the ATS for the ASI and FSI and control charts when and …………………………..……………………..27 Table 7.2 Values of the ATS for the ASI and FSI and control charts when and …………………………..……………………..32 Table 7.3 Values of the ATS for the ASI and FSI and control charts when and ……………………..…………………………..37 Table 7.4 Values of the ATS for the ASI and FSI and control charts when and …………………………..……………………..42 Table 7.5 Summary of sensitivity analyses for the ASI and control chart..47 Table 8.1 Comparisons the ATS of the ASI and FSI and control charts when =0.03 and =0.04…………….…………….……………………..…..48 Table 8.2 Comparisons the ATS of the ASI and FSI and control charts when and …………..….…………………………….……49 LIST OF FIGURES Figure 2.1 A two-step process………………………………………………………...7 Figure 3.1 The FSI X and cause-selecting control charts……………………………10 Figure 3.2 The ASI X and cause-selecting control charts………………...…..…..….11 Figure 3.3 The ASI and control charts……………………………………12 PARTⅡ: ADAPTVIE SMAPLE SIZE AND SAMPLING INTERVAL AND CONTROL CHARTS CONTENTS 1 INTRODUCTION.......................................................................................................1 2 PROCESS DESCRIPTION.........................................................................................7 3 PRINCIPLES OF THE ASSI AND CONTROL CHARTS FOR TWO DEPENDENT PROCESS STEPS……………….…………………………………..8 4 DETERMINATION OF THE WARNING LIMITS ON THE ASSI AND CONTROL CHARTS.………………………………..…………………………….14 5 PERFORMANCE MEASUREMENT FOR THE ASSI AND CONTROL CHARTS……….……………………………………………………….………….17 6 AN EXAMPLE………………………………………………………….…………19 7 SENSITIVITY ANALYSES………………………….……………………………23 8 COMPARISONS BETWEEN ASSI AND FSSI AND CONTROL CHARTS………………………………..…………………………….……………25 9 COMPARISONS BETWEEN ASSI AND ASS AND CONTROL CHARTS…………………………..………………….…………………………....27 10 CONCLUSIONS..…………………………………………….…………………..28 REFERENCES……………………………………………………………..………...75 APPENDICES………………………………………………………………..………78 Appendix 1.…………………………………………………………………………..78 Appendix 2…………………………………………………………………………...79 Appendix 3…………………………………………………………………………...84 Appendix 4…………………………………………………………………………...86 Appendix 5…………………………………………………………………………...87 LIST OF TABLES Table 2.1 Possible distributions of X and Y…………………………...……………..30 Table 3.1 Possible distributions of and …………………………...………….30 Table 5.1 The 36 process states…………..……………………………..……………31 Table 7.1 Values of the ATS for the ASSI and FSSI control charts when and ……………………………………………………………..33 Table 7.2 Values of the ATS for the ASSI and FSSI control charts when and ……………………………………………………………..39 Table 7.3 Values of the ATS for the ASSI and FSSI control charts when and ……………………………………………………………..45 Table 7.4 Values of the ATS for the ASSI and FSSI control charts when and ……………………………………………………………..51 Table 7.5 Summary of sensitivity analyses for the ASSI and control charts…………………………………………….…………………………57 Table 8.1 Comparisons the ATS of the ASSI and FSSI control charts when =0.03 and =0.04…….………………………………………………………...58 Table 8.2 Comparisons the ATS of the ASSI and FSSI control charts when and ………….…………………………………………….……59 Table 9.1 Values of the ATS for the ASS and FSS and control charts when and ………………………………...……………….60 Table 9.2 Values of the ATS for the ASS and FSS and control charts when and …………………...…………………………….62 Table 9.3 Values of the ATS for the ASS and FSS and control charts when and ……………………...………………………….64 Table 9.4 Values of the ATS for the ASS and FSS and control charts when and ………………………...……………………….66 Table 9.5 Comparisons the ATS of the ASSI and ASS and control charts when =0.03 and =0.04…………………………………….………..68 Table 9.6 Comparisons the ATS of the ASSI and ASS and control charts when and ……………………………….…………71 Table 9.7 The ATS of the ASSI and ASS and control charts for very small shifts in process means…………………………………..………………...74 LIST OF FIGURES Figure 3.1 The FSSI and control charts…………………………………….10 Figure 3.2 The ASSI and control charts……………….……………………11 Figure 3.3 The ASSI and control charts……………….………………….12 | zh_TW |
| dc.language.iso | en_US | - |
| dc.source.uri (資料來源) | http://thesis.lib.nccu.edu.tw/record/#G0091354003 | en_US |
| dc.subject (關鍵詞) | 調適性管制圖 | zh_TW |
| dc.subject (關鍵詞) | 兩相依製程 | zh_TW |
| dc.subject (關鍵詞) | 馬可夫鍊 | zh_TW |
| dc.subject (關鍵詞) | Adaptive control chart | en_US |
| dc.subject (關鍵詞) | Two dependent process steps | en_US |
| dc.subject (關鍵詞) | Markov chain | en_US |
| dc.subject (關鍵詞) | ATS | en_US |
| dc.title (題名) | 兩相依製程之調適性管制圖 | zh_TW |
| dc.title (題名) | Adaptive Control Charts for Two Dependent Process Steps | en_US |
| dc.type (資料類型) | thesis | en |
| dc.relation.reference (參考文獻) | [1] Amin, R. W. and Miller, R. W. (1993), “A Robustness Study of Charts with Variable Sampling Intervals,” Journal of Quality Technology 25, pp. 36-44. | zh_TW |
| dc.relation.reference (參考文獻) | [2] Costa, A. F. B. (1994), “ Charts with Variable Sample Size,” Journal of Quality Technology 26, No. 3, pp.155-163. | zh_TW |
| dc.relation.reference (參考文獻) | [3] Costa, A. F. B. (1997), “ Chart with Variable Sample Size and Sampling Intervals,” Journal of Quality Technology 29, No. 2, pp. 197-204. | zh_TW |
| dc.relation.reference (參考文獻) | [4] Costa, A. F. B. (1998), “Joint and R Charts with Variable Parameters,” IIE Transactions 30, pp. 505-514. | zh_TW |
| dc.relation.reference (參考文獻) | [5] Costa, A. F. B. (1999), “ Charts with Variable Parameters,” Journal of Quality Technology 31, No. 4, pp. 408-416. | zh_TW |
| dc.relation.reference (參考文獻) | [6] Cui, R. and Reynolds, M. R., Jr. (1988), “ -Charts with Runs Rules and Variable Sampling Intervals,” Communications in Statistics-Simulation and Computation 17, pp. 1073-1093. | zh_TW |
| dc.relation.reference (參考文獻) | [7] Daudin, J. J. (1992), “Double Sampling Charts,” Journal of Quality Technology 24, pp.78-87. | zh_TW |
| dc.relation.reference (參考文獻) | [8] Epprecht, E. K., Costa, A. F. B. and Mendes, F. C. T. (2003), “Adaptive Control Charts for Attributes,” IIE Transactions 35, pp.567-582. | zh_TW |
| dc.relation.reference (參考文獻) | [9] Grant, E.L. and Leavenworth, R.S. (1988), Statistical Quality Control, Sixth Edition, McGraw-Hill Co., New York. | zh_TW |
| dc.relation.reference (參考文獻) | [10] Lucas, J. M. (1982), “Combined Shewhart -CUSUM Quality Control Schemes,” Journal of Quality Technology 14, pp. 51 –59 | zh_TW |
| dc.relation.reference (參考文獻) | [11] Lucas, J. M. and Saccucci, M. S. (1990), “Exponentially weighted moving average control schemes: Properties and enhancements,” Technometrics 32, pp. 1-29 | zh_TW |
| dc.relation.reference (參考文獻) | [12] Prabhu, S. S., Montgomery D. C. and Runger G. G. (1994), “A Combined Adaptive Sample Size and Sampling Interval Control Scheme,” Journal of Quality Technology 26, No. 3, pp. 164-176. | zh_TW |
| dc.relation.reference (參考文獻) | [13] Prabhu, S. S., Runger, G. C. and Keats, J. B. (1993), “ Chart with Adaptive Sample Sizes,” International Journal of Production Research 31, pp. 2895-2909. | zh_TW |
| dc.relation.reference (參考文獻) | [14] Reynolds, M. R., Jr. (1996), “Shewhart and EWMA Variable Sampling Interval Control Charts with Sampling at Fixed Times,” Journal of Quality Technology 28, No. 2, pp. 199-212. | zh_TW |
| dc.relation.reference (參考文獻) | [15] Reynolds, M. R., Jr., Amin, R. W. and Arnold, J. C. (1990), “CUSUM Charts with Variable Sampling intervals,” Technometrics 32, pp. 371-384. | zh_TW |
| dc.relation.reference (參考文獻) | [16] Reynolds, M. R., Jr., Amin, R. W., Arnold, J. C. and Nachlas, J. A (1988), “ Charts with Variable Sampling Intervals,” Technometrics 30, No. 2, pp. 181-192. | zh_TW |
| dc.relation.reference (參考文獻) | [17] Reynolds, M. R., Jr. and Arnold, J. C. (2001), “EWMA Control Charts with Variable Sample Sizes and Variable Sampling Intervals,” IIE Transactions 33, pp.511-530. | zh_TW |
| dc.relation.reference (參考文獻) | [18] Runger, G. C. and Pignatiello, J. J., Jr. (1991), “Adaptive Sampling for Process Control,” Journal of Quality Technology 23, No. 2, pp. 135-155. | zh_TW |
| dc.relation.reference (參考文獻) | [19] Saccucci, M. S., Amin, R. W. and Lucas, J. M. (1992), “Exponentially Weighted Moving Average Control Schemes with Variable Sampling Intervals,” Communications in Statistics-Simulation and Computation 21, pp. 627-357. | zh_TW |
| dc.relation.reference (參考文獻) | [19] Shewhart, W. A. (1931), Economic Control of Quality of Manufactured Product, D. Van Nostrand Co., New York. | zh_TW |
| dc.relation.reference (參考文獻) | [20] Wade, M. R. and Woodall, W. H. (1993), “A Review and Analysis of Cause-Selecting Control Charts,” Journal of Quality Technology 25, No. 3, pp. 161-169. | zh_TW |
| dc.relation.reference (參考文獻) | [21] Zhang, G. X. (1984), “A New Type of Control Charts and a Theory of Diagnosis with Control Chats,” World Quality Congress Transactions. American Society for Quality Control, pp. 175-185. | zh_TW |
| dc.relation.reference (參考文獻) | [22] Zimmer, L. S., Montgomery, D. C. and Runger, G. C. (1998), “Evaluation of the Three-State Adaptive Sample Size Control Chart,” International Journal of Production Research 36, 733-743. | zh_TW |
