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    请使用永久网址来引用或连结此文件: https://nccur.lib.nccu.edu.tw/handle/140.119/99531


    题名: 雙次抽樣平均數和變異數管制圖設計之研究
    Study on design of double sampling mean and variance control charts
    作者: 吳信宏
    Wu, Sin Hong
    贡献者: 楊素芬
    Yang, Su Fen
    吳信宏
    Wu, Sin Hong
    关键词: 二次抽樣
    平均串連長度
    二項分配
    Double sampling
    Average run length
    Binomial distribution
    日期: 2016
    上传时间: 2016-08-02 15:53:29 (UTC+8)
    摘要: 雙次抽樣平均數和變異數管制圖設計之研究
    Control charts are effective tools for detecting manufacturing processes and service processes. Nowadays, much of the data in manufacturing or service industries comes from processes having non-normal or unknown distributions. The commonly used Shewhart control charts, which depend heavily on the normality assumption, are not appropriately used for this situation. In this paper, we propose a standardized dynamic double sampling asymmetric EWMA mean control chart (SDDS EWMA-AM chart), a standardized dynamic double sampling asymmetric EWMA variance control chart (SDDS EWMA-AV chart), and their combined charts (joint SDDS EWMA-AM and SDDS EWMA-AV charts) to monitor process mean, variance and both shifts, respectively. The charts based on the double sampling procedure and two simple distribution-free transformed statistics are used for non-normal distribution of a quality variable. The performance of the proposed charts and that of some existing distribution-free mean and variance charts are compared. Further, a non-normal service times example from the service system of a bank branch is used to illustrate the applications of the proposed charts and to compare detection performance with the existing distribution-free mean and variance control charts. The charts we proposed show superior detection performance compared to the existing distribution-free mean and variance charts. Thus they are recommended.
    參考文獻: Carot, V., Jabaloyes, J. and Carot, T. (2002). "Combined double sampling and variable sampling interval X-bar chart." International Journal of Production Research 40(9): 2175-2186.
    Chowdhury, S., Mukherjee, A. and Chakraborti, S. (2014). "A New Distribution‐free Control Chart for Joint Monitoring of Unknown Location and Scale Parameters of Continuous Distributions." Quality and Reliability Engineering International 30(2): 191-204.
    Daudin, J.J. (1992). "Double sampling X-bar charts." Quality control and applied statistics 37(11): 583-586.
    Deng, Q. (2009). "Combined charts for mean and variance information." Journal of Quality Technology 41(4): 415-425.
    Ghute, V. (2014). "Nonparametric Control Charts for Variability Using Runs Rules." The Experiment 24(4): 1683.
    He, D. and Grigoryan, A. (2006). "Joint statistical design of double sampling X-bar and S charts." European Journal of Operational Research 168(1): 122-142.
    Khoo, M. B. and Lim, E. (2005). "An improved R (range) control chart for monitoring the process variance." Quality and Reliability Engineering International 21(1): 43-50.
    Lee, P.H., Chang, Y.C. and Torng, C.C. (2012). "A design of S control charts with a combined double sampling and variable sampling interval scheme." Communications in Statistics-Theory and Methods 41(1): 153-165.
    Mukherjee, A. and Chakraborti, S. (2012). "A Distribution‐free Control Chart for the Joint Monitoring of Location and Scale." Quality and Reliability Engineering International 28(3): 335-352.
    Torng, C.C. and Lee, P.H. (2009). "The Performance of Double Sampling X-bar Control Charts Under Non Normality." Communications in Statistics: Simulation and Computation 38(3): 541-557.
    Yang, S.F. and Arnold, B. C. (2014). "A simple approach for monitoring business service time variation." The Scientific World Journal 2014. online publishing.
    Yang, S.F. and Arnold, B. C. (2015). "A new approach for monitoring process variance." Journal of Statistical Computation and Simulation: 1-17. online publishing.
    Zhang, C., Xie, M., Liu, J. and Goh, T. (2007). "A control chart for the Gamma distribution as a model of time between events." International Journal of Production Research 45(23): 5649-5666.
    Zhang, G. (2014). "Improved R and S control charts for monitoring the process variance." Journal of Applied Statistics 41(6): 1260-1273.
    Zhang, J., Zou, C. and Wang, Z. (2010). "A control chart based on likelihood ratio test for monitoring process mean and variability." Quality and Reliability Engineering International 26(1): 63-73.
    Zou, C. and Tsung, F. (2010). "Likelihood ratio-based distribution-free EWMA control charts." Journal of Quality Technology 42(2): 174.
    描述: 碩士
    國立政治大學
    統計學系
    103354016
    資料來源: http://thesis.lib.nccu.edu.tw/record/#G0103354016
    数据类型: thesis
    显示于类别:[統計學系] 學位論文

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