A comparison study of control charts for Weibull distributed time between events

Fu Kwun Wang*, Berihun Bizuneh, Temesgen Hailegiorgis Abebe

*Corresponding author for this work

Research output: Contribution to journalJournal Article peer-review

19 Scopus citations

Abstract

Monitoring decreases in the mean of Weibull time between events data to address process quality deteriorations is an important task in reliability analysis. Two new control charts such as Weibull exponentially weighted moving average and mixed cumulative sum-exponentially weighted moving average by transforming the Weibull data to the exponential data are proposed and compared with 2 existing control charts such as Weibull cumulative sum and mixed exponentially weighted moving average-cumulative sum. The performance comparison provides a way to select a specific control chart in a given situation. The average run length and the standard deviation of the run length are used as performance measures. The relative mean index is also utilized to measure the overall performance. The smaller the value of the relative mean index, the better the performance of the control chart and vice versa. Two illustrative examples are provided to show the applications of the proposed control charts.

Original languageEnglish
Pages (from-to)2747-2759
Number of pages13
JournalQuality and Reliability Engineering International
Volume33
Issue number8
DOIs
StatePublished - 12 2017
Externally publishedYes

Bibliographical note

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

Keywords

  • MCE chart
  • MEC chart
  • WCUSUM
  • WEWMA
  • Weibull distribution
  • time between events

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