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Design of exponential control charts based on average time to signal using a sequential sampling scheme

Author

Listed:
  • Jun Yang
  • Huan Yu
  • Yuan Cheng
  • Min Xie

Abstract

Exponential charts based on time-between-events (TBE) data are widely investigated and applied in various fields. The average time to signal (ATS) is used instead of the average run length to evaluate the performance of TBE charts, since the ATS involves both the number and the time of samples inspected until a signal occurs. An ATS-unbiased exponential control chart is proposed when the in-control parameter is known. Considering the need in practice to start monitoring a production process as soon as possible, a sequential sampling scheme is adopted and the in-control parameter is estimated by an unbiased and consistent estimator. Some specific guidelines to stop updating control limits are obtained from the relationship between the phase I sample size and the actual false alarm rate. Finally, two real examples are given to illustrate the implementation and efficiency of the proposed method.

Suggested Citation

  • Jun Yang & Huan Yu & Yuan Cheng & Min Xie, 2015. "Design of exponential control charts based on average time to signal using a sequential sampling scheme," International Journal of Production Research, Taylor & Francis Journals, vol. 53(7), pages 2131-2145, April.
    • Handle: RePEc:taf:tprsxx:v:53:y:2015:i:7:p:2131-2145
    DOI: 10.1080/00207543.2014.974848
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