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Comparison Between the Economic-Statistical Design of Double and Triple Sampling X¯\bar{X} Control Charts

Author

Listed:
  • Iziy Azamsadat

    (Department of Statistics, Ferdowsi University Of Mashhad (FUM), Mashhad, Iran)

  • Sadeghpour Gildeh Bahram

    (Department of Statistics, Ferdowsi University Of Mashhad (FUM), Mashhad, Iran)

  • Monabbati Ehsan

    (Department of Mathematics, Alzahra University, Tehran, Iran)

Abstract

Control charts have been established as major tools for quality control and improvement in industry. Therefore, it is always required to consider an appropriate design of a control chart from an economical point of view before using the chart. The economic design of a control chart refers to the determination of three optimal control chart parameters: sample size, the sampling interval, and the control limits coefficient. In this article, the double sampling (DS) X¯{\bar{X}} control chart is considered for the economic design using nonlinear mixed integer programming approach. The triple sampling (TS) X¯{\bar{X}} control charts are developed for economic design based on the results of solving the DS X¯{\bar{X}} chart design problems. In this model, we assume that the process must be shut down during the search for the assignable cause. Multiple sampling X¯{\bar{X}} charts can be designed for quick detection of a small shift in process. The results of the comparison between the economic-statistical design of DS and TS X¯{\bar{X}} control charts show that TS X¯{\bar{X}} control charts are more efficient in terms of minimizing the average sample size, but its expected average cost takes larger values.

Suggested Citation

  • Iziy Azamsadat & Sadeghpour Gildeh Bahram & Monabbati Ehsan, 2017. "Comparison Between the Economic-Statistical Design of Double and Triple Sampling X¯\bar{X} Control Charts," Stochastics and Quality Control, De Gruyter, vol. 32(1), pages 49-61, June.
    • Handle: RePEc:bpj:ecqcon:v:32:y:2017:i:1:p:49-61:n:2
    DOI: 10.1515/eqc-2017-0005
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    References listed on IDEAS

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    Keywords

    Panagos’s Cost Model; Economic Design; 62P30 62D99;
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