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An exact method for designing Shewhart and S2 control charts to guarantee in-control performance

Author

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  • Alireza Faraz
  • Cédric Heuchenne
  • Erwin Saniga

Abstract

The in-control performance of Shewhart and S2 control charts with estimated in-control parameters has been evaluated by a number of authors. Results indicate that an unrealistically large amount of Phase I data is needed to have the desired in-control average run length (ARL) value in Phase II. To overcome this problem, it has been recommended that the control limits be adjusted based on a bootstrap method to guarantee that the in-control ARL is at least a specified value with a certain specified probability. In this article we present simple formulas using the assumption of normality to compute the control limits and therefore, users do not have to use the bootstrap method. The advantage of our proposed method is in its simplicity for users; additionally, the control chart constants do not depend on the Phase I sample data.

Suggested Citation

  • Alireza Faraz & Cédric Heuchenne & Erwin Saniga, 2018. "An exact method for designing Shewhart and S2 control charts to guarantee in-control performance," International Journal of Production Research, Taylor & Francis Journals, vol. 56(7), pages 2570-2584, April.
    • Handle: RePEc:taf:tprsxx:v:56:y:2018:i:7:p:2570-2584
    DOI: 10.1080/00207543.2017.1384580
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