Implementing statistical process control using surrogate variables

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题名:	Implementing statistical process control using surrogate variables
其它题名:	使用代理變數進行統計製程管制
作者:	江俊佑;Chiang, Jyun-You
贡献者:	淡江大學管理科學學系博士班蔡宗儒;Tsai, Tzong-Ru
关键词:	兩階段的經濟管制圖;最適的篩選過程;代理變數;Non-central chi-square chart;Profit function;Screening limits;Surrogate variable;Two-stage control charts
日期:	2012
上传时间:	2013-04-13 11:24:29 (UTC+8)
摘要:	本論文使用代理變數針對統計製程管制提出兩種新的統計方法，在第一個方法中，我們建立一個兩階段的經濟管制圖，藉由輪流監控績效變數及它的代理變數以利對由績效變數之製程平均數偏移或者製程變異數偏移所引起的製程失控快速預警。在第二個方法中，我們利用一個廣義的利潤函數及代理變數，針對績效變數發展出一個最適的篩選過程，以設定績效變數之最佳製程平均水準及篩選界限。除使用數值方法來評估兩種新統計方法的績效外，本論文並使用實例說明如何使用建議的統計方法。研究中發現基於經濟的考量，這兩種新方法皆能顯著的改進現有方法的成效。 In this dissertation, two approaches are proposed for statistical quality control applications based on surrogate variables. A two-stage economic control chart is developed in first approach to monitor either the performance variable or its surrogate variable in an alternating fashion to quickly alarm for out-of-control signals caused by the mean shift or the variance shift of the performance variable. In second approach, an optimum screening procedure is developed based on a new generalized profit function using the surrogate variable of the performance variable to set up the optimal process mean level of the performance variable and the screening limits. Numerical studies are conducted to evaluate the performance of the proposed methods. Examples are presented to demonstrate the applications of two proposed methods. Both proposed approaches result in a significant improvement over the existing methods in term of the economic viewpoint.
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