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A CUSUM chart for detecting the intensity ratio of negative events

Author

Listed:
  • Liang Qu
  • Shuguang He
  • Michael B. C. Khoo
  • Philippe Castagliola

Abstract

This paper developed a single cumulative sum (CUSUM) scheme, called the UCUSUM chart, for simultaneously detecting the size N and time interval T of an event. The new chart used the information of size and frequency of the event and the UCUSUM chart is carried out using the only one statistic U, which contains both T and N; on the other hand, the UCUSUM chart could allocate the detection power to the T shifts and the N shifts. The results present that the UCUSUM chart is significantly powerful compared to other charts which are in the current research with either the time interval T or with the size N. The UCUSUM chart could be applied in many areas including industries and non-industries and the performance of the new chart shows it is much effective in example.

Suggested Citation

  • Liang Qu & Shuguang He & Michael B. C. Khoo & Philippe Castagliola, 2018. "A CUSUM chart for detecting the intensity ratio of negative events," International Journal of Production Research, Taylor & Francis Journals, vol. 56(19), pages 6553-6567, October.
    • Handle: RePEc:taf:tprsxx:v:56:y:2018:i:19:p:6553-6567
    DOI: 10.1080/00207543.2017.1398423
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    Cited by:

    1. Sabri-Laghaie, Kamyar & Fathi, Mahdi & Zio, Enrico & Mazhar, Maryam, 2022. "A novel reliability monitoring scheme based on the monitoring of manufacturing quality error rates," Reliability Engineering and System Safety, Elsevier, vol. 217(C).

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