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MEWMA控制图运行链长分析及实例研究 被引量:5

Run Length Distributions Analysis and Case Study for MEWMA
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摘要 多元指数加权移动平均(MEWMA)控制图常用来监测多元质量过程中存在的小偏移,对其性能评价时多采用平均运行链长。在马尔可夫链的MEWMA控制图平均运行链长计算方法的基础上,分析了MEWMA控制图运行链长的概率分布及累积概率分布。基于MATLAB计算平台,编制了相应的计算程序,给出了MEWMA控制图运行链长的概率分布曲线及累积概率曲线。提出了MEWMA控制图参数优化方法,对电子产品装配中的表面贴片工艺过程的焊点质量控制进行了研究。 Multivariate exponentially weighted moving average (MEWMA) control chart was designed to detect small shifts in the mean vector of a multivariate quality process; its performance was evaluated by the average run length (ARL). Based on the method for ARL computation proposed by Runger and Prabhu, this paper studied the run length distributions of MEWMA control chart, including the run length probability distributions and cumulative probability distributions. Based on the procedure for parametrical optimization of MEWMA control chart, a case study of its application in surface mount process for the solder joint quality control was presented.
出处 《中国机械工程》 EI CAS CSCD 北大核心 2007年第7期820-824,共5页 China Mechanical Engineering
基金 国家自然科学基金资助项目(50475005 70321001)
关键词 质量控制 统计过程控制 多变量控制系统 马尔可夫过程 优化控制系统 quality control statistical process control multivariable control system Markov process optimal control system
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参考文献6

  • 1Champ CW,Rigdon S E.A Comparison of the Markov Chain and the Integral Equaion Approaches for Evaluating the Run Length Distribution of Quality Control Charts[J].Communications in Statistics,1991,20:191-204. 被引量:1
  • 2Runger G C,Prabhu S S.A Markov Chain Model for the Multivariate Exponentially Weighted Moving Averages Control Chart[J].Journal of the American Statistical Association,1996,91(436):1701-1706. 被引量:1
  • 3Lowry C A,Woodall W H.A Multivariate Exponentially Weighted Moving Average Control Chart[J].Technometrics,1992,34(1):46-53. 被引量:1
  • 4Rigdon S E.A Double-integral Equation for the Average Run Length of a Multivariate Exponentially Weighted Moving Average Control Chart[J].Statistics & Probability Letters,1995,24:365-373. 被引量:1
  • 5Sonesson C.Evaluations of Some Exponentially Weighted Moving Average methods[J].Journal of Applied Statistics,2003,30(10):1115-1133. 被引量:1
  • 6杜福洲,唐晓青,孙静.MEWMA控制图ARL计算及参数优化[J].北京航空航天大学学报,2006,32(8):974-978. 被引量:5

二级参考文献6

  • 1Brook D,Evans D A.An approach to the probability distribution of CUSUM length[J].Biometrika,1972,59:539-549 被引量:1
  • 2Runger G C,Prabhu S S.A Markov chain model for the multivariate exponentially weighted moving averages control chart[J].Journal of the American Statistical Association,1996,91(436):1701-1706 被引量:1
  • 3Lowry C A,Woodall W H.A multivariate exponentially weighted moving average control chart[J].Technometrics,1992,34(1):46-53 被引量:1
  • 4Rigdon S E.A double-integral equation for the average run length of a multivariate exponentially weighted moving average control chart[J].Statistics & Probability Letters,1995,24:365-373 被引量:1
  • 5Prabhu S S,Runger G C.Designing a multivariate EWMA control chart[J].Journal of Quality Technology,1997,29(1):8-15 被引量:1
  • 6Sonesson C.Evaluations of some exponentially weighted moving average methods[J].Journal of Applied Statistics,2003,30(10):1115-1133 被引量:1

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