The performance of EWMA median and CUSUM median control charts for a normal process with measurement errors

Xiao Bin Cheng, Fu Kwun Wang*

*Corresponding author for this work

Research output: Contribution to journalJournal Article peer-review

25 Scopus citations

Abstract

Measurement error is often occurred in statistical process control. The effect of a linearly covariate error model on the exponentially weighted moving average (EWMA) median and cumulative sum (CUSUM) median charts is investigated. The results indicate that the EWMA median and CUSUM median charts are significantly affected in the presence of measurement errors. We compared the performance of the EWMA median and CUSUM median charts by using Markov chain method in the average run length and the standard deviation of the run length. We concluded that the CUSUM median chart for small shifts and the EWMA median chart for larger shifts are recommended. Two examples are provided to illustrate the application of the EWMA and CUSUM median charts with measurement errors.

Original languageEnglish
Pages (from-to)203-213
Number of pages11
JournalQuality and Reliability Engineering International
Volume34
Issue number2
DOIs
StatePublished - 03 2018
Externally publishedYes

Bibliographical note

Publisher Copyright:
Copyright © 2017 John Wiley & Sons, Ltd.

Keywords

  • CUSUM median chart
  • EWMA median chart
  • Markov chain method
  • measurement errors

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