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    Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/30882


    Title: 兩相依製程之調適性管制圖
    Adaptive Control Charts for Two Dependent Process Steps
    Authors: 蘇惠君
    Contributors: 楊素芬
    蘇惠君
    Keywords: 調適性管制圖
    兩相依製程
    馬可夫鍊
    Adaptive control chart
    Two dependent process steps
    Markov chain
    ATS
    Date: 2003
    Issue Date: 2009-09-14
    Abstract: 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.
    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.
    Reference: [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.
    [2] Costa, A. F. B. (1994), “ Charts with Variable Sample Size,” Journal of Quality Technology 26, No. 3, pp.155-163.
    [3] Costa, A. F. B. (1997), “ Chart with Variable Sample Size and Sampling Intervals,” Journal of Quality Technology 29, No. 2, pp. 197-204.
    [4] Costa, A. F. B. (1998), “Joint and R Charts with Variable Parameters,” IIE Transactions 30, pp. 505-514.
    [5] Costa, A. F. B. (1999), “ Charts with Variable Parameters,” Journal of Quality Technology 31, No. 4, pp. 408-416.
    [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.
    [7] Daudin, J. J. (1992), “Double Sampling Charts,” Journal of Quality Technology 24, pp.78-87.
    [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.
    [9] Grant, E.L. and Leavenworth, R.S. (1988), Statistical Quality Control, Sixth Edition, McGraw-Hill Co., New York.
    [10] Lucas, J. M. (1982), “Combined Shewhart -CUSUM Quality Control Schemes,” Journal of Quality Technology 14, pp. 51 –59
    [11] Lucas, J. M. and Saccucci, M. S. (1990), “Exponentially weighted moving average control schemes: Properties and enhancements,” Technometrics 32, pp. 1-29
    [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.
    [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.
    [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.
    [15] Reynolds, M. R., Jr., Amin, R. W. and Arnold, J. C. (1990), “CUSUM Charts with Variable Sampling intervals,” Technometrics 32, pp. 371-384.
    [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.
    [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.
    [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.
    [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.
    [19] Shewhart, W. A. (1931), Economic Control of Quality of Manufactured Product, D. Van Nostrand Co., New York.
    [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.
    [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.
    [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.
    Description: 碩士
    國立政治大學
    統計研究所
    91354003
    92
    Source URI: http://thesis.lib.nccu.edu.tw/record/#G0091354003
    Data Type: thesis
    Appears in Collections:[Department of Statistics] Theses

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