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題名 調適性抽樣間隔經濟管制圖
Adaptive Sampling Interval Economic Control Chart作者 何志傑
Ho, Chi Kit貢獻者 楊素芬
何志傑
Ho, Chi Kit關鍵詞 經濟管制圖
調適性抽樣間隔日期 2006 上傳時間 17-Sep-2009 18:48:16 (UTC+8) 摘要 In this article, a renewal theory approach is used to derive an expression for the expected cost per unit production time of adaptive sampling interval economic control chart. First, we derive the expected cycle time E(T) and expected cycle cost E(C). Then the expected cost per unit production time is E(V)=E(C)/E(T). The optimal design parameters can be determined by minimizing the expected cost per unit production time E(V). In this paper, minimizing the cost function, the optimal design parameters can be determined by using Fortran program and IMSL library. Furthermore, the sensitivity analysis illustrates the effects of cost and process input parameters on the optimal design parameters and the minimal expected cost per unit production time for the proposed control chart. 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, No. 1, January 1993, pp. 36-44
[2] Bai, D. S. & Lee, K. T. (1998), “ An Economic Design of Variable Sampling Interval Control Charts”, International Journal of Production Economics, Vol. 54, pp. 57-64
[3] Bai, D. S. & Lee, K. T. (2002), “ Variable sampling interval Control Charts with an Improved Switching Rule ”, International Journal of Production Economics, Vol. 76, pp. 189-199
[4] Banerjee, P. K. & Rahim, M. A. (1987), “The Economic Design of Control Charts: A Renewal Theory Approach”, Engineering Optimization, Vol. 12, pp. 63-73.
[5] Banerjee, P. K. & Rahim, M. A. (1988), “Economic Design of -Control Charts under Weibull Shock Models ”, Technometrics, Vol. 30, No.4, pp. 407-413
[6] Capizzi, G. & Masarotto, G. (2003), “An Adaptive Exponentially Weighted Moving Average Control Chart”, Technometrics, August 2003, Vol. 45, No. 3, pp. 199-207
[7] Chiu, W. K. (1975), “Economic Design of Attribute Control Charts”, Technometrics, Vol. 17, No. 1, February 1975, pp. 81-87
[8] Costa, A. F. B. (1994), “ Charts with Variable Sample Size”, Journal of Quality Technology, Vol. 26, No. 3, July 1994, pp. 155-163
[9] Costa, A. F. B. (1997), “ Charts with Variable Sample Sizes and Sampling Intervals”, Journal of Quality Technology, Vol. 29, No. 2, April 1997, pp. 197-204
[10] Costa, A. F. B. (1998), “Joint and R Charts with Variable Parameters”, IIE Transactions, Vol. 30, pp. 505-514
[11] Costa, A. F. B. (1999a), “Joint and R Charts with Variable Sample Sizes and Sampling Intervals”, Journal of Quality Technology, Vol. 31, No. 4, October 1999, pp. 387-397
[12] Costa, A. F. B. (1999b), “ Charts with Variable Parameters”, Journal of Quality Technology, Vol. 31, No. 4, October 1999, pp. 408-416
[13] Costa, A. F. B. (1999c), “AATS for the Chart with Variable Parameters”, Journal of Quality Technology, Vol. 31, No. 4, October 1999, pp. 455-458
[14] Costa, A. F. B. & Rahim, M. A. (2001), “Economic Design of Charts with Variable Parameters: the Markov Chain Approach”, Journal of Applied Statistics, Vol. 28, No. 7, pp.875-885
[15] 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
[16] Montgomery, D. C., Introduction to Statistical Quality Control, 4 edition, pp. 479-483
[17] Magalhaes, M. S. D., Epprecht, E. K. & Costa, A. F. B. (2001), “ Economic Design of a Vp Chart”, International Journal of Production Economics, Vol. 74, pp. 191-200
[18] Ohta, H. & Rahim, M. A. (1997), “ A Dynamic Economic Model for an -Control Chart Design”, IIE Transactions, Vol. 29, pp.481-486
[19] Prabhu, S. S., Montgomery, D. C. & Runger, G. C. (1994), “A Combined Adaptive Sample Size and Sampling Interval Control Scheme”, Journal of Quality Technology, Vol. 26, No. 3, July 1994, pp. 164-176
[20] Prabhu, S. S., Montgomery, D. C. & Runger, G. C. (1997), “ Economic-Statistical Design of an Adaptive Chart”, International Journal of Production Economics, Vol. 49, pp. 1-15
[21] Parkhideh, B. & Case, K. E. (1989), “ The Economic Design of a Dynamic –Control Chart”, IIE Transactions, Vol. 21, No. 4, December 1989, pp. 313-323
[22] Park, C. & Reynolds, M. R. (1999), “ Economic Design of a Variable Sampling Rate Chart”, Journal of Quality Technology, Vol. 30, No. 4, October 1999, pp. 427-443
[23] Reynolds, M. R., Amin, R. W., Arnold, J. C. & Nachlas, J. A. (1988), “ Charts with Variable Sampling Intervals”, Technometrics, Vol. 30, No. 2, May 1988, pp. 181-192
[24] 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
[25] Reynolds, M. R. (1996), “Shewhart and EWMA Variable Sampling Interval Control Charts with Sampling at Fixed Times”, Journal of Quality Technology, Vol. 28, No. 2, April 1996, pp. 199-212
[26] Runger, G. C. & Pignatiello, J. J. (1991), “Adaptive Sampling for Process Control”, Journal of Quality Technology, Vol. 23, No. 2, April 1991, pp. 135-155
[27] Ross, S. (1989), Introduction to Probability Models, Academic Press, San Diego, CA
[28] Shewhart, W. A. (1931), “Economic Control of Quality of Manufactured Product”, D. Van Nostrand Co., New York
[29] Tagaras, G. (1998), ”A Survey of Recent Developments in the Design of Adaptive Control Charts”, Journal of Quality Technology, Vol. 30, No. 3, July 1998, pp. 212-231
[30] Wade, M. R. and Woodall, W. H. (1993), “A Review and Analysis of Cause-Selecting Control Charts”, Journal of Quality Technology, Vol. 25, No. 3, July 1993, pp. 161-169
[31] Yang, S. F. (1997), “ The Economic Design of Control Charts when there are Dependent Process Steps”, International Journal of Quality & Reliability Management, Vol. 14, No. 6, pp. 606-615
[32] Yang, S. F. & Chen, Y. C. (2003), “Processes Control for Two Failure Mechanisms”, Journal of the Chinese Industrial Engineers, Vol. 20, No. 5, pp. 481-493
[33] Yang, S. F. & Su, W. D (2004), “Adaptive Control Charts for Two Dependent Process Steps”, 國立政治大學統計研究所九十二學年度碩士論文
[34] Zimmer, L. S., Montgomery, D. C., Runger, G. C. (1998), “Evaluation of a Three-State Adaptive Sample Size Control Chart”, International Journal Production Research, Vol. 36, No. 3, pp. 733-743
[35] 林裕章及周昭宇 (2002), 「適應性 管制圖之回顧與評估」, 中國統計學報, 第40卷,第3期, 九十一年九月, 第361-390頁描述 碩士
國立政治大學
統計研究所
92354002
95資料來源 http://thesis.lib.nccu.edu.tw/record/#G0923540021 資料類型 thesis dc.contributor.advisor 楊素芬 zh_TW dc.contributor.author (Authors) 何志傑 zh_TW dc.contributor.author (Authors) Ho, Chi Kit en_US dc.creator (作者) 何志傑 zh_TW dc.creator (作者) Ho, Chi Kit en_US dc.date (日期) 2006 en_US dc.date.accessioned 17-Sep-2009 18:48:16 (UTC+8) - dc.date.available 17-Sep-2009 18:48:16 (UTC+8) - dc.date.issued (上傳時間) 17-Sep-2009 18:48:16 (UTC+8) - dc.identifier (Other Identifiers) G0923540021 en_US dc.identifier.uri (URI) https://nccur.lib.nccu.edu.tw/handle/140.119/33917 - 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) 92354002 zh_TW dc.description (描述) 95 zh_TW dc.description.abstract (摘要) In this article, a renewal theory approach is used to derive an expression for the expected cost per unit production time of adaptive sampling interval economic control chart. First, we derive the expected cycle time E(T) and expected cycle cost E(C). Then the expected cost per unit production time is E(V)=E(C)/E(T). The optimal design parameters can be determined by minimizing the expected cost per unit production time E(V). In this paper, minimizing the cost function, the optimal design parameters can be determined by using Fortran program and IMSL library. Furthermore, the sensitivity analysis illustrates the effects of cost and process input parameters on the optimal design parameters and the minimal expected cost per unit production time for the proposed control chart. zh_TW dc.description.tableofcontents 第一章INTRODUCTION------------------------------------p.1第二章ECONOMIC DESIGN PRINCIPLE-----------------------p.5第三章PROCESS DESCRIPTIONS----------------------------p.8第四章ADAPTIVE SCHEME---------------------------------p.11第五章THE EXPECTED COST FUNCTION----------------------p.13第六章DETERMINATION OF THE OPTIMAL DESIGN PARAMETERS FOR THE PROPOSED CONTROL CHARTS--------------------------p.19第七章SENSITIVITY ANALYSIS----------------------------p.20第八章CONCLUSIONS-------------------------------------p.28 zh_TW dc.format.extent 47770 bytes - dc.format.extent 79361 bytes - dc.format.extent 39934 bytes - dc.format.extent 40023 bytes - dc.format.extent 23449 bytes - dc.format.extent 28615 bytes - dc.format.extent 55420 bytes - dc.format.extent 32225 bytes - dc.format.extent 70791 bytes - dc.format.extent 25265 bytes - dc.format.extent 46980 bytes - dc.format.extent 25480 bytes - dc.format.extent 74306 bytes - dc.format.extent 127908 bytes - dc.format.mimetype application/pdf - dc.format.mimetype application/pdf - dc.format.mimetype application/pdf - dc.format.mimetype application/pdf - dc.format.mimetype application/pdf - dc.format.mimetype application/pdf - dc.format.mimetype application/pdf - dc.format.mimetype application/pdf - dc.format.mimetype application/pdf - dc.format.mimetype application/pdf - dc.format.mimetype application/pdf - dc.format.mimetype application/pdf - dc.format.mimetype application/pdf - dc.format.mimetype application/pdf - dc.language.iso en_US - dc.source.uri (資料來源) http://thesis.lib.nccu.edu.tw/record/#G0923540021 en_US dc.subject (關鍵詞) 經濟管制圖 zh_TW dc.subject (關鍵詞) 調適性抽樣間隔 zh_TW dc.title (題名) 調適性抽樣間隔經濟管制圖 zh_TW dc.title (題名) Adaptive Sampling Interval Economic Control Chart 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, No. 1, January 1993, pp. 36-44 zh_TW dc.relation.reference (參考文獻) [2] Bai, D. S. & Lee, K. T. (1998), “ An Economic Design of Variable Sampling Interval Control Charts”, International Journal of Production Economics, Vol. 54, pp. 57-64 zh_TW dc.relation.reference (參考文獻) [3] Bai, D. S. & Lee, K. T. (2002), “ Variable sampling interval Control Charts with an Improved Switching Rule ”, International Journal of Production Economics, Vol. 76, pp. 189-199 zh_TW dc.relation.reference (參考文獻) [4] Banerjee, P. K. & Rahim, M. A. (1987), “The Economic Design of Control Charts: A Renewal Theory Approach”, Engineering Optimization, Vol. 12, pp. 63-73. zh_TW dc.relation.reference (參考文獻) [5] Banerjee, P. K. & Rahim, M. A. (1988), “Economic Design of -Control Charts under Weibull Shock Models ”, Technometrics, Vol. 30, No.4, pp. 407-413 zh_TW dc.relation.reference (參考文獻) [6] Capizzi, G. & Masarotto, G. (2003), “An Adaptive Exponentially Weighted Moving Average Control Chart”, Technometrics, August 2003, Vol. 45, No. 3, pp. 199-207 zh_TW dc.relation.reference (參考文獻) [7] Chiu, W. K. (1975), “Economic Design of Attribute Control Charts”, Technometrics, Vol. 17, No. 1, February 1975, pp. 81-87 zh_TW dc.relation.reference (參考文獻) [8] Costa, A. F. B. (1994), “ Charts with Variable Sample Size”, Journal of Quality Technology, Vol. 26, No. 3, July 1994, pp. 155-163 zh_TW dc.relation.reference (參考文獻) [9] Costa, A. F. B. (1997), “ Charts with Variable Sample Sizes and Sampling Intervals”, Journal of Quality Technology, Vol. 29, No. 2, April 1997, pp. 197-204 zh_TW dc.relation.reference (參考文獻) [10] Costa, A. F. B. (1998), “Joint and R Charts with Variable Parameters”, IIE Transactions, Vol. 30, pp. 505-514 zh_TW dc.relation.reference (參考文獻) [11] Costa, A. F. B. (1999a), “Joint and R Charts with Variable Sample Sizes and Sampling Intervals”, Journal of Quality Technology, Vol. 31, No. 4, October 1999, pp. 387-397 zh_TW dc.relation.reference (參考文獻) [12] Costa, A. F. B. (1999b), “ Charts with Variable Parameters”, Journal of Quality Technology, Vol. 31, No. 4, October 1999, pp. 408-416 zh_TW dc.relation.reference (參考文獻) [13] Costa, A. F. B. (1999c), “AATS for the Chart with Variable Parameters”, Journal of Quality Technology, Vol. 31, No. 4, October 1999, pp. 455-458 zh_TW dc.relation.reference (參考文獻) [14] Costa, A. F. B. & Rahim, M. A. (2001), “Economic Design of Charts with Variable Parameters: the Markov Chain Approach”, Journal of Applied Statistics, Vol. 28, No. 7, pp.875-885 zh_TW dc.relation.reference (參考文獻) [15] 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) [16] Montgomery, D. C., Introduction to Statistical Quality Control, 4 edition, pp. 479-483 zh_TW dc.relation.reference (參考文獻) [17] Magalhaes, M. S. D., Epprecht, E. K. & Costa, A. F. B. (2001), “ Economic Design of a Vp Chart”, International Journal of Production Economics, Vol. 74, pp. 191-200 zh_TW dc.relation.reference (參考文獻) [18] Ohta, H. & Rahim, M. A. (1997), “ A Dynamic Economic Model for an -Control Chart Design”, IIE Transactions, Vol. 29, pp.481-486 zh_TW dc.relation.reference (參考文獻) [19] Prabhu, S. S., Montgomery, D. C. & Runger, G. C. (1994), “A Combined Adaptive Sample Size and Sampling Interval Control Scheme”, Journal of Quality Technology, Vol. 26, No. 3, July 1994, pp. 164-176 zh_TW dc.relation.reference (參考文獻) [20] Prabhu, S. S., Montgomery, D. C. & Runger, G. C. (1997), “ Economic-Statistical Design of an Adaptive Chart”, International Journal of Production Economics, Vol. 49, pp. 1-15 zh_TW dc.relation.reference (參考文獻) [21] Parkhideh, B. & Case, K. E. (1989), “ The Economic Design of a Dynamic –Control Chart”, IIE Transactions, Vol. 21, No. 4, December 1989, pp. 313-323 zh_TW dc.relation.reference (參考文獻) [22] Park, C. & Reynolds, M. R. (1999), “ Economic Design of a Variable Sampling Rate Chart”, Journal of Quality Technology, Vol. 30, No. 4, October 1999, pp. 427-443 zh_TW dc.relation.reference (參考文獻) [23] Reynolds, M. R., Amin, R. W., Arnold, J. C. & Nachlas, J. A. (1988), “ Charts with Variable Sampling Intervals”, Technometrics, Vol. 30, No. 2, May 1988, pp. 181-192 zh_TW dc.relation.reference (參考文獻) [24] 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) [25] Reynolds, M. R. (1996), “Shewhart and EWMA Variable Sampling Interval Control Charts with Sampling at Fixed Times”, Journal of Quality Technology, Vol. 28, No. 2, April 1996, pp. 199-212 zh_TW dc.relation.reference (參考文獻) [26] Runger, G. C. & Pignatiello, J. J. (1991), “Adaptive Sampling for Process Control”, Journal of Quality Technology, Vol. 23, No. 2, April 1991, pp. 135-155 zh_TW dc.relation.reference (參考文獻) [27] Ross, S. (1989), Introduction to Probability Models, Academic Press, San Diego, CA zh_TW dc.relation.reference (參考文獻) [28] 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) [29] Tagaras, G. (1998), ”A Survey of Recent Developments in the Design of Adaptive Control Charts”, Journal of Quality Technology, Vol. 30, No. 3, July 1998, pp. 212-231 zh_TW dc.relation.reference (參考文獻) [30] Wade, M. R. and Woodall, W. H. (1993), “A Review and Analysis of Cause-Selecting Control Charts”, Journal of Quality Technology, Vol. 25, No. 3, July 1993, pp. 161-169 zh_TW dc.relation.reference (參考文獻) [31] Yang, S. F. (1997), “ The Economic Design of Control Charts when there are Dependent Process Steps”, International Journal of Quality & Reliability Management, Vol. 14, No. 6, pp. 606-615 zh_TW dc.relation.reference (參考文獻) [32] Yang, S. F. & Chen, Y. C. (2003), “Processes Control for Two Failure Mechanisms”, Journal of the Chinese Industrial Engineers, Vol. 20, No. 5, pp. 481-493 zh_TW dc.relation.reference (參考文獻) [33] Yang, S. F. & Su, W. D (2004), “Adaptive Control Charts for Two Dependent Process Steps”, 國立政治大學統計研究所九十二學年度碩士論文 zh_TW dc.relation.reference (參考文獻) [34] Zimmer, L. S., Montgomery, D. C., Runger, G. C. (1998), “Evaluation of a Three-State Adaptive Sample Size Control Chart”, International Journal Production Research, Vol. 36, No. 3, pp. 733-743 zh_TW dc.relation.reference (參考文獻) [35] 林裕章及周昭宇 (2002), 「適應性 管制圖之回顧與評估」, 中國統計學報, 第40卷,第3期, 九十一年九月, 第361-390頁 zh_TW
