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題名 計數值兩階段相依製程的監控
Monitoring a two-step dependent process with attribute data
作者 葉金田
Yeh, Jin Tyan
貢獻者 楊素芬
Yang, Su Fen
葉金田
Yeh, Jin Tyan
關鍵詞 相依製程
日期 2010
上傳時間 5-Sep-2013 15:09:33 (UTC+8)
摘要 本論文探討計數值相依製程的管制方法, 內容如下:
(1) 當製程資料來自二元二項分配, 以建構二元二項管制區域監控計數值相依製程.
(2) 當二元計數資料具中度以上相關, 建立選控圖以監控計數值相依製程.
(3) 若不合格品比率極為微小時, 以二個相依的二項管制圖監控計數值相依製程.
(4) 建立適應性管制圖以監控計數值相依製程.
(5) 透過模擬與計算方式, 以平均連串長度及 AATS 來評估並比較以上所提方法的績效.
參考文獻 1. Biswas, A. and Hwang, J.S. (2002), “A New Bivariate Binomial Distribution,” Statistics and Probability Letters, 60, 231-240.
2. Box, G. E. P., Cox, D. R. (1964), “An Analysis of Transformation,” Journal of Royal Statistic Society, 26, 211-243.
3. Chiu, J. E. and Kuo, T. I. (2010), “Control Charts for Fraction Nonconforming in a Bivariate Binomial Process,” Journal of Applied Statistic ,37, 1717-1728.
4. Cinlar, E. (1975), Introduction to Stochastic Process. Prentice-Hall, Englewood Cliffs, NJ.
5. Costa. A. F. B. (1998), “Joint and R Charts with Variable Parameter,” IIE Transactions, 30, 505-514.
6. Jiang, W., Au, S. T., Tsui, K. L., and Xie, M., (2002), “Process Monitoring with Univariate and Multivariate C-Charts,” Technical Report, The Logistics Institute, Georgia Teach, and the Logistics Institute - Asia Pacific, National University of Singapore.
7. Lowery, C. A., and Montgomery, D. C. (1995), “A Review of Multivariate Control
Charts,” IIE Transactions, 2, 800-810.
8. Lu, X. S., Xie, M., Goh, T. N. and Lai, C. D. (1998), “Control Chart for Multivariate Attribute Process,” International Journal of Production Research, 36, 3477-3489.
9. Mandel. B. J. (1969). “The Regression Control Chart,” Journal of Quality Technology, 1, 1-9.
10. Mukhopadhyay, A. R. (2008), “Multivariate Attribute Control Chart Using Mahalanobis Statistics,” Journal of Applied Statistics, 35, 421-429.
11. Niaki, S. T. A. (2007), “Skewness Reduction Approach in Multi-Attribute Process Monitoring,” Communications in Statistics-Theory and Methods, 36, 2313-2325.
12. Niaki, S. T. A. (2006), “Bootstrap Method Approach in Designing Multi-Attribute Control Charts,” International Journal of Advance Manufacturing Technology, 35, 434-442.
13. Patel, H. I. (1973), “Quality Control Methods for Multivariate Binomial and Poisson Distribution,” Technometrics ,15, 103-112.
14. Quesenberry, C. P. (1995),” Geometric Q-Charts for High Quality Process,” Journal of Quality Technology, 27, 304-319.
15. Ryan. T. P., Schwertman, N. C. (1997), “Optimal Limits for Attribute Control Charts” Journal of Quality Technology, 29, 86-96.
16. Wade, and Woodall, W. (1993), “A Review and Analysis of Cause-Selecting Control,” Journal of Quality Technology, 25, 161-169.
17. Yang, S. (1998), “Optimal process control for multiple process,” Quality and Reliability Engineering International, 14, 347-355.
18. Yang, S. (2005), “Dependent Process Control for Over-Adjusted Process Means,” International Journal of Advance Manufacturing Technology, 109-116.
19. Yang, S. and Su, H. (2006), “Control-Dependent Process Steps Using Variable Sample Size Control Charts”, Applied Stochastic Model in Business and Industry, 22, 503-517.
20. Yang, S. and Su, H. (2007), “Adaptive Control Scheme for Dependent Process Steps,” International Journal of Loss Prevention and Industrial Process, 20, 15-25
21. Yang, S. and Yu, Y. (2009), “Using VSI EWMA Control Charts to Monitor Dependent Process,” Expert System and Application, 36, 442-454.
22. Zhang, G. X. (1984), “A New Type of Control Charts and a Theory of Diagnosis with Control Charts,” World Quality Congress Transactions. American Society for Quality Control, 175-185.
描述 博士
國立政治大學
統計研究所
93354505
99
資料來源 http://thesis.lib.nccu.edu.tw/record/#G0093354505
資料類型 thesis
dc.contributor.advisor 楊素芬zh_TW
dc.contributor.advisor Yang, Su Fenen_US
dc.contributor.author (Authors) 葉金田zh_TW
dc.contributor.author (Authors) Yeh, Jin Tyanen_US
dc.creator (作者) 葉金田zh_TW
dc.creator (作者) Yeh, Jin Tyanen_US
dc.date (日期) 2010en_US
dc.date.accessioned 5-Sep-2013 15:09:33 (UTC+8)-
dc.date.available 5-Sep-2013 15:09:33 (UTC+8)-
dc.date.issued (上傳時間) 5-Sep-2013 15:09:33 (UTC+8)-
dc.identifier (Other Identifiers) G0093354505en_US
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/60426-
dc.description (描述) 博士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) 93354505zh_TW
dc.description (描述) 99zh_TW
dc.description.abstract (摘要) 本論文探討計數值相依製程的管制方法, 內容如下:
(1) 當製程資料來自二元二項分配, 以建構二元二項管制區域監控計數值相依製程.
(2) 當二元計數資料具中度以上相關, 建立選控圖以監控計數值相依製程.
(3) 若不合格品比率極為微小時, 以二個相依的二項管制圖監控計數值相依製程.
(4) 建立適應性管制圖以監控計數值相依製程.
(5) 透過模擬與計算方式, 以平均連串長度及 AATS 來評估並比較以上所提方法的績效.		zh_TW
dc.description.tableofcontents Chapter 1. Introduction……………………………………………………………..1
Chapter 2. Design of the Bivariate Binomial Control Region………………….......5
2.1 Example………………………………………………………………………..7
2.2 The Effect of px and py on Control Region………………………………….....9
2.3 Numerical Example……………………………………………………………10
Chapter 3. Design of Two Dependent Binomial Charts……………………………12
3.1 Framework for Bivariat Binomial Charts……………………………………...12 3.2 Numerical Example…………………………………………………………....14
Chapter 4. Using Cause Selecting Control Charts to Monitor Dependent Process Steps with Attributes Data…………………………………………………………16
4.1 Construction of the Proposed Charts…………………………………………..16
4.2 Numerical Example……………………………………………………………18
Chapter 5. Cause Selecting Charts with Variable Sample Sizes and Sampling Intervals for two Dependent Process Steps with Attributes Data…………………20
5.1 Design of VSSI Control Charts for Dependent Steps with Attributes Data…..20
5.2 Performance Measurement for VSSI Z1 and Z2 Control Charts………………22
5.3 Performance Comparison between VSSI and FP schemes……………….…..25
Chapter 6. Cause Selecting Charts with VSSI EWMA Control Charts for Two Dependent Process Steps with Attributes Data…………………………………..31
6.1 The Distribution of the VSSI EWMA Control Charts for Dependent Steps with Attributes Dada ……………………………………………………………...31
6.2 Design the VSSI EWMA Control Charts for Dependent Steps with Attributes
Data……………………………………………………………………. ……31
6.3 Performance Measurement for VSSI EWMA Control Charts……………….35
6.4 Performance Comparison between VSSI EWMA and FP EWMA Charts….37
Chapter 7. Performance Comparison of Bivariate Binomial Control and
Cause Selecting Charts…………………………………………………….41
7.1 In-control ARL Calculation…………………………………………………41
7.2 Out-of-control ARL Calculation…………………………………………….41
Chapter 8. Conclusion……………………………………………………………45
References………………………………………………………………………….47
Appendix 1: The Calculation of Transition Probability for VSSI Control Charts…49		zh_TW
dc.format.extent 1300614 bytes-
dc.format.mimetype application/pdf-
dc.language.iso en_US-
dc.source.uri (資料來源) http://thesis.lib.nccu.edu.tw/record/#G0093354505en_US
dc.subject (關鍵詞) 相依製程zh_TW
dc.title (題名) 計數值兩階段相依製程的監控zh_TW
dc.title (題名) Monitoring a two-step dependent process with attribute dataen_US
dc.type (資料類型) thesisen
dc.relation.reference (參考文獻) 1. Biswas, A. and Hwang, J.S. (2002), “A New Bivariate Binomial Distribution,” Statistics and Probability Letters, 60, 231-240.
2. Box, G. E. P., Cox, D. R. (1964), “An Analysis of Transformation,” Journal of Royal Statistic Society, 26, 211-243.
3. Chiu, J. E. and Kuo, T. I. (2010), “Control Charts for Fraction Nonconforming in a Bivariate Binomial Process,” Journal of Applied Statistic ,37, 1717-1728.
4. Cinlar, E. (1975), Introduction to Stochastic Process. Prentice-Hall, Englewood Cliffs, NJ.
5. Costa. A. F. B. (1998), “Joint and R Charts with Variable Parameter,” IIE Transactions, 30, 505-514.
6. Jiang, W., Au, S. T., Tsui, K. L., and Xie, M., (2002), “Process Monitoring with Univariate and Multivariate C-Charts,” Technical Report, The Logistics Institute, Georgia Teach, and the Logistics Institute - Asia Pacific, National University of Singapore.
7. Lowery, C. A., and Montgomery, D. C. (1995), “A Review of Multivariate Control
Charts,” IIE Transactions, 2, 800-810.
8. Lu, X. S., Xie, M., Goh, T. N. and Lai, C. D. (1998), “Control Chart for Multivariate Attribute Process,” International Journal of Production Research, 36, 3477-3489.
9. Mandel. B. J. (1969). “The Regression Control Chart,” Journal of Quality Technology, 1, 1-9.
10. Mukhopadhyay, A. R. (2008), “Multivariate Attribute Control Chart Using Mahalanobis Statistics,” Journal of Applied Statistics, 35, 421-429.
11. Niaki, S. T. A. (2007), “Skewness Reduction Approach in Multi-Attribute Process Monitoring,” Communications in Statistics-Theory and Methods, 36, 2313-2325.
12. Niaki, S. T. A. (2006), “Bootstrap Method Approach in Designing Multi-Attribute Control Charts,” International Journal of Advance Manufacturing Technology, 35, 434-442.
13. Patel, H. I. (1973), “Quality Control Methods for Multivariate Binomial and Poisson Distribution,” Technometrics ,15, 103-112.
14. Quesenberry, C. P. (1995),” Geometric Q-Charts for High Quality Process,” Journal of Quality Technology, 27, 304-319.
15. Ryan. T. P., Schwertman, N. C. (1997), “Optimal Limits for Attribute Control Charts” Journal of Quality Technology, 29, 86-96.
16. Wade, and Woodall, W. (1993), “A Review and Analysis of Cause-Selecting Control,” Journal of Quality Technology, 25, 161-169.
17. Yang, S. (1998), “Optimal process control for multiple process,” Quality and Reliability Engineering International, 14, 347-355.
18. Yang, S. (2005), “Dependent Process Control for Over-Adjusted Process Means,” International Journal of Advance Manufacturing Technology, 109-116.
19. Yang, S. and Su, H. (2006), “Control-Dependent Process Steps Using Variable Sample Size Control Charts”, Applied Stochastic Model in Business and Industry, 22, 503-517.
20. Yang, S. and Su, H. (2007), “Adaptive Control Scheme for Dependent Process Steps,” International Journal of Loss Prevention and Industrial Process, 20, 15-25
21. Yang, S. and Yu, Y. (2009), “Using VSI EWMA Control Charts to Monitor Dependent Process,” Expert System and Application, 36, 442-454.
22. Zhang, G. X. (1984), “A New Type of Control Charts and a Theory of Diagnosis with Control Charts,” World Quality Congress Transactions. American Society for Quality Control, 175-185.		zh_TW