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    Title: 適應性計數值損失函數管制圖之設計
    Design of the Adaptive Loss Function Control Chart for Binomial Data
    Authors: 李宜臻
    Lee,I Chen
    Contributors: 楊素芬
    蔡紋琦

    Yang,Su Fen
    Tsai,Wen Chi

    李宜臻
    Lee,I Chen
    Keywords: 計數值管制圖
    田口損失函數
    變動抽樣區間
    變動樣本數
    變動參數
    馬可夫鏈
    Attribute Control Chart
    Taguchi Loss Function
    Variable Sampling Intervals
    Variable Sample Sizes
    Variable Parameters
    Markov Chain
    Date: 2009
    Issue Date: 2013-06-28 13:59:32 (UTC+8)
    Abstract: 
    This article proposes the algorithm of a new control chart (loss function control chart) based on the Taguchi loss function with an adaptive scheme for binomial data. The loss function control chart is able to monitor cost variation from the process by applying loss function in the design. This new angle economically explores production cost. This research provides designs of the loss function control chart with specified VSI, optimal VSI, VSS and VP, respectively. Numerical analyses show that the specified VSI loss function chart, the optimal VSI loss function chart, the optimal VSS loss function chart and the optimal VP loss function chart outperform the Fp loss function chart significantly and show costs can be controlled systematically.
    Reference: [1] Alexander, S.M., Dillman, M.A., Usher, J.S. and Damodaran, B. (1995),“Economic Design of Control Charts using the Taguchi Loss Function,” Computers & Industrial Engineering 28, 671-679.
    [2] Calabrese, J.M. (1995),“Bayesian process control for attributes,” Management Science 41,637-645.
    [3] Serel, D.A. (2009),“Economic design of EWMA control charts based on loss function,” Mathematical and Computer Modelling 49, 745-759.
    [4] Epprecht, E.K. and Costa, A.F.B. (2001),“Adaptive Sample Size Control Charts
    for Attributes,” Quality Engineering 13, 465-473.
    [5] Epprecht, E.K., Costa, A.F.B. and Mendes, F.C.T. (2003),“Adaptive control charts for attributes,” IEE Transaction 35, 567-582.
    [6] Luo, H. and Wu, Z. (2002),“Optimal np Control Charts with Variable Sample Sizes or Variable Sampling Intervals,” Economic Quality Control 17, 39-61.
    [7] Luo, H. and Wu, Z. (2004),“Optimal Design of the Adaptive Sample Size and Sampling Interval np Control Chart,” Quality Reliability Engineering International 20, 553–570.
    [8] Koo, T. and Lin, L. (1992),“Economic design of chart when Taguchi’s loss function is considered,” Proceedings of Asian Quality Control Symposium, South Korea, 166-178.
    [9] Lorenzen, T.J. and Vance, L.C. (1986),“The Economic Design of Control Charts: A Unified Approach,” Technometrics 28, 3-10.
    [10] Montgomery, D.C. (1980),“The economic design of control charts: a review and literature survey”, Journal of Quality Technology 12, 75-87.
    [12] Montgomery, D.C. (2009), Introduction to Statistical Quality Control, 6th ed.
    John Wiley & Sons, New York.
    [13] Porteus, E.L. and Angelus, A. (1997),“Opportunities for improved statistical process control,” Management Science 43, 1214-1228.
    [14] Rendtel, U. (1987),”The Use of Generalized CUSUM-Schemes to Control the Percent Defective of a Continuous Production Process,” Frontiers in Statistical Quality Control, 3rd ed. H.J. Lenz et al. Physica-Verlag, Heidelberg.
    [15] Reynolds, M.R., Amin, R.W., Arnold, J.C. and Nachlas, J.A. (1988),“ Charts with Variable Sampling Intervals,” Technometrics 30,181-192.
    [16] Rendtel, U. (1990),”CUSUM-schemes with variable sampling intervals and sample sizes,” Statistical Papers 31, 103-118.
    [17] Saniga, E.M., Davis, D.J. and McWilliams, T. P. (1995),“Economic, Statistical, and Economic-Statistical Design of Attribute Charts,” Journal of Quality Technology 27, 56-73.
    [18] Taguchi, G. (1984),“The role of metrological control for quality control,” Proceedings of the international Symposium on Metrology for Quality Control in Production, 1-7.
    [19] Tagaras, G. (1998),“A survey of recent developments in the design of adaptive control charts,” Journal of Quality Technology 30, 212-231.
    [20] Vaughan, T.S. (1993),”Variable sampling interval np process control chart,” Communications in Statistics—Theory and Methods 22, 147-167.
    [21] Woodall, W.H. (1986),“Weaknesses of the Economic Design of Control Charts, Technometrics 28, 408-410.
    [22] Wu, Z. and Pan, E.S. (2004),“Optimization design of control charts based on Taguchi’s loss function and random process shifts,” International Journal of Production Research 42, 379–390.
    [23] Wu, Z. and Luo, H. (2004),“Optimal Design of the Adaptive Sample Size and Sampling Interval,” Quality and Reliability Engineering International 20, 553-570.
    [24] Yang, S. (1997),”An optimal design of joint and S control charts using quadratic loss function,” International Journal of Quality & Reliability Management 14, 948-966.
    Description: 碩士
    國立政治大學
    統計研究所
    97354003
    98
    Source URI: http://thesis.lib.nccu.edu.tw/record/#G0973540031
    Data Type: thesis
    Appears in Collections:[Department of Statistics] Theses

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