Designing a parameter-free Kullback-Leibler information control chart for monitoring process mean shift

Yu Ching Chang, Ting Wei Li, Christina Mastrangelo

研究成果: Article同行評審

摘要

This paper proposes a parameter-free Kullback-Leibler information control chart for monitoring sustained shifts in the process mean of a normally distributed process in phase II. Two plotted statistics are provided. One is based on our backward empirical sequential test, the other is based on the maximum log-likelihood ratio change point method. These two achieve similar performances for the control chart. The performance of the proposed chart is compared with those of the cumulative sum chart, the exponentially weighted moving average chart, and the generalized likelihood ratio (GLR) chart. The results show that our proposed chart and the GLR chart have similar performances. Both can detect a wide range of shifts in the process mean, and neither requires design parameters other than the control limits. The proposed chart outperforms GLR when the size of the shift is below 1.24 standard deviations, while GLR outperforms the proposed chart when the size of the shift is above 1.24 standard deviations.

原文English
頁(從 - 到)1017-1034
頁數18
期刊Quality and Reliability Engineering International
37
發行號3
DOIs
出版狀態Published - 2021 四月

All Science Journal Classification (ASJC) codes

  • Safety, Risk, Reliability and Quality
  • Management Science and Operations Research

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