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    政大機構典藏 > 商學院 > 統計學系 > 學位論文 >  Item 140.119/33910


    Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/33910


    Title: 利用調適性管制技術同時監控製程平均數和變異數
    Joint Monitoring of Process Means and Variances by Using Adaptive Control Schemes
    Authors: 陳琬昀
    Contributors: 楊素芬
    陳琬昀
    Keywords: 管制圖
    變動參數
    相依製程
    選控圖
    馬可夫鏈
    Control Charts
    Variable Parameters
    Dependent Process Steps
    Cause-Selecting Control Chart
    Markov Chain
    Date: 2007
    Issue Date: 2009-09-17 18:47:19 (UTC+8)
    Abstract: 　　由近期的研究中發現變動所有參數的管制圖在偵測小幅度偏移時的速度比起傳統的舒華特管制圖來的快，許多文獻也討論到利用調適性管制技術同時監控製程的平均數和變異數。而在這份研究中，為了改善現有管制圖的偵測效率，依序提出了U-V管制圖以及Max-M管制圖來偵測單一製程與兩相依製程的平均數和變異數。採用AATS及ANOS來衡量管制圖的偵測績效，並利用馬可夫鏈推導計算得之。透過兩階段的範例來介紹所提出的管制圖的應用方法並將VP U-V管制圖、VP Max-M管制圖與FP Z(X-bar)-Z(Sx^2)管制圖加以比較。從所研究的數值分析中發現VP Max-M管制圖比另兩種管制圖的表現來的好，再加上只需要單一管制圖在使用上對工程師來說也較為簡便，因此建議Max-M管制圖値得在實務上被使用。
    Recent studies have shown that the variable parameters (VP) charts detect small process shifts faster than the traditional Shewhart charts. There have been many papers discussed adaptive control schemes to monitor process mean and variance simultaneously. In the study, to improve the efficiency and performance of the existing control charts, the U-V control charts and Max-M control charts are respectively proposed to monitor the process mean and variance for a single process and two dependent process steps. The performance of the proposed control charts is measured by using adjusted average time to signal (AATS) and average number of observations to signal (ANOS). The calculation of AATS and ANOS is derived by Markov chain approach. The application of the proposed control charts is illustrated by a numerical example for two dependent process steps, and the performance of VP U-V control charts, VP Max-M control charts and FP Z(X-bar)-Z(Sx^2) control charts is compared. From the results of data analyses, it shows that the VP Max-M control charts have better performance than VP U-V control charts and FP Z(X-bar)-Z(Sx^2) control charts. Furthermore, using a single chart to monitor a process is easier than using two charts for engineers. Hence, Max-M control charts are recommended in real industrial process.
    Reference: [1]Amin, R. W. and Miller, R. W. (1993), “A Robustness Study of X-bar Charts with Variable Sampling Intervals,” Journal of Quality Technology 25, 36-44.
    [2]Chen, G. and Cheng, S. W. (1998), “Max Chart: Combining X-bar Chart and S Chart,” Statistic Sinica 8, 263-271.
    [3]Chengalur, I. N., Arnold, J. C. and Reynolds, M. R., JR. (1989), “Variable Sampling Intervals for Multiparameter Shewhart Charts,” Communications in Statistics - Theory and Methods 18, 1769-1792.
    [4]Cinlar, E. (1975), Introduction to Stochastic Processes. Prentice-Hall, Englewood Cliffs, N.J.
    [5]Constable, G. K., Cleary, M. J., Tickel, C. and Zhang, G. X. (1988), “Use of Cause-Selecting Charts in the Auto Industry,” ASQC Quality Congress Transactions. American Society for Quality Control, 597-602.
    [6]Costa, A. F. B. (1994), “ X-bar Charts with Variable Sample Size,” Journal of Quality Technology 26, 155-163.
    [7]Costa, A. F. B. (1997), “ X-bar Charts with Variable Sample Size and Sampling Intervals,” Journal of Quality Technology 29, 197-204.
    [8]Costa, A. F. B. (1998), “Joint X-bar and R Charts with Variable Parameters,” IIE Transactions 30, 505-514.
    [9]Costa, A. F. B. (1999a), “Joint X-bar and R Charts with Variable Sample Size and Sampling Intervals,” Journal of Quality Technology 31, 387-397.
    [10]Costa, A. F. B. (1999b), “ X-bar Charts with Variable Parameters,” Journal of Quality Technology 31, 408-416.
    [11]Daudin, J. J. (1992), “Double Sampling X-bar Charts,” Journal of Quality Technology 24, 78-87.
    [12]Fiocca, A. (1988), Some unpublished works of Ludovico Ferrari (Italian), Boll. Storia Sci. Mat. 8 (2), 239-305.
    [13]IMSL (1991), Users Manual, Math/Library, Vol.2, IMSL, Inc., Houstin, Texas.
    [14]Kang, L. and Albin, S. L. (2000), “On-Line Monitoring When the Process Yields a Linear Profile,” Journal of Quality Technology 32, 418-426.
    [15]Mandel, B. J. (1969), “The Regression Control Chart,” Journal of Quality Technology 1, 1-9.
    [16]Prabhu, S. S., Montgomery, D. C. and Runger, G. C. (1994), “A Combined Adaptive Sample Size and Sampling Interval X-bar Control Scheme,” Journal of Quality Technology 26, 164-176.
    [17]Prabhu, S. S., Runger, G. C. and Keats, J. B. (1993), “An Adaptive Sample Size X-bar Chart,” International Journal of Production Research 31, 2895-2909.
    [18]Reynolds, M. R., JR. (1989), “Optimal Variable Sampling Interval Control Charts,” Sequential Analysis 8, 361-379.
    [19]Reynolds, M. R., JR. (1995), “Evaluating Properties of Variable Sampling Interval Control Charts,” Sequential Analysis 14, 59-97.
    [20]Reynolds, M. R., JR. (1996), “Variable-Sampling-Interval Control Charts with Sampling at Fixed Times,” IIE Transactions 28, 497-510.
    [21]Reynolds, M. R., JR., Amin, R. W., Arnold, J. C. and Nachlas, J. A. (1988), “ X-bar Charts with Variable Sampling Intervals,” Technometrics 30, 181-192.
    [22]Reynolds, M. R., JR. and Arnold, J. C. (1989), “Optimal One-Sized Shewhart Control Charts with Variable Sampling Intervals,” Sequential Analysis 8, 51-77.
    [23]Reynolds, M. R., JR., Arnold, J. C. and Baik, J. W. (1996), “Variable Sampling Interval X-bar Charts in the Presence of Correlation,” Journal of Quality Technology 28, 12-30.
    [24]Runger, G. C. and Montgomery, D. C. (1993), “Adaptive Sampling Enhancements for Shewhart Control Charts,” IIE Transactions 25, 41-51.
    [25]Runger, G. C. and Pignatiello, J. J., JR. (1991), “Adaptive Sampling for Process Control,” Journal of Quality Technology 23, 135-155.
    [26]Tagaras, G. (1998), “A Survey of Recent Developments in the Design of Adaptive Control Charts,” Journal of Quality Technology 30, 212-231.
    [27]Wade, M. R. and Woodall, W. H. (1993), “A Review and Analysis of Cause-Selecting Control Charts,” Journal of Quality Technology 25, 161-169.
    [28]Yang, S. (2005), “Dependent Processes Control for Over-adjusted Means,” International Journal of Advanced Manufacturing Technology, 109-116.
    [29]Yang, S. and Su, H. (2006), “Controlling-dependent Process Steps Using Variable Sample Size Control Charts,” Applied stochastic model in business and industry, Vol. 22, 503-517.
    [30]Yang, S. and Su, H. (2007a), “Adaptive Sampling Interval for Two Dependent Process Steps Control,” International Journal of Advanced Manufacturing Technology, Vol. 31, 1169-1180.
    [31]Yang, S. and Su, H. (2007b), “Adaptive Control Scheme for Dependent Process Steps,” International Journal of Loss Prevention and Industrial Process, Vol. 20, 15-25.
    [32]Yang, S. and Yang, C. (2006), “An Approach to Controlling Two Dependent Process Steps with Autocorrelated Observations,” International Journal of Advanced Manufacturing Technology, Vol. 29, 170-177.
    [33]Yang, S. and Chen, W. (2007a), “Controlling Incorrect Adjustment Processes Using Optimum VSI Control Charts,” International Statistical Conference, ISI 56, Lisbon, Portugal.
    [34]Yang, S. and Chen, W. (2007b), “Variable Sampling Interval Control Charts,” International Conference of Multiple Decision Theory, in honor of Dr. Den-Yung Hwang, Taiwan.
    [35]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.
    Description: 碩士
    國立政治大學
    統計研究所
    95354020
    96
    Source URI: http://thesis.lib.nccu.edu.tw/record/#G0095354020
    Data Type: thesis
    Appears in Collections:[統計學系] 學位論文

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