工业工程2012，Vol.15Issue(3)：87-91,5.DOI:10.3969/j.issn.1007-7375.2012.03.017
基于马尔可夫链模型的B&L VP (X)控制图统计性能分析
Statistical Performance Analysis of a VP (X) Control Chart with B&L Switching Rule by Using a Markov Chain Model
摘要
Abstract
In statistical process control, variable parameter (VP)X chart is widely used. To improve the performance of the VP X chart, Bai & Lee ( B&L) switching rules are applied to design the VP X chart. By this method, a Markov chain model is developed to obtain the expressions of Average Time to Signal ( ATS), Adjusted Average Time to Signal ( AATS) , and average number of switches ( ANSW). To evaluate the performance of the proposed method, comparison is done between the chart designed by the proposed method and the existing VP X chart by using two samples. Results show that, with the same average run-time, the proposed method outperforms the existing VP X chart in both shortening the alarm time and in reducing the number of switch times. The larger the parameter L is, the better the performance of the proposed method is.关键词
统计过程控制/控制图/变量参数(X)控制图/马尔可夫链Key words
statistical process control/ control chart/ variable parameter X chart/ Markov chain分类
管理科学引用本文复制引用
郭志芳,程龙生..基于马尔可夫链模型的B&L VP (X)控制图统计性能分析[J].工业工程,2012,15(3):87-91,5.基金项目
教育部人文社会科学研究规划基金资助项目(10YJA630020) （10YJA630020）
国家自然科学基金资助项目(11071120) （11071120）
江苏省社会科学基金资助项目(08SHA001) （08SHA001）
