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Economically Optimal Determination of the Parameters of X\bar -Control Chart

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  • Isaac N. Gibra

    (Stevens Institute of Technology)

Abstract

This paper seeks a theoretical basis for determining the optimal parameters of the X\bar -chart under the specified conditions. These parameters are the sample size, the factor determining the spread of the control limits, and the intersample interval. The paper shows how to determine these parameters under sound practical assumptions so that the relevant cost function is minimized. Illustrative examples show how the formulated model can be applied.

Suggested Citation

  • Isaac N. Gibra, 1971. "Economically Optimal Determination of the Parameters of X\bar -Control Chart," Management Science, INFORMS, vol. 17(9), pages 635-646, May.
    • Handle: RePEc:inm:ormnsc:v:17:y:1971:i:9:p:635-646
    DOI: 10.1287/mnsc.17.9.635
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    Cited by:

    1. Yang, Yit-Ming & Su, Chia-Yi & Pearn, W.L., 2010. "Economic design of x¯-control charts for continuous flow process with multiple assignable causes," International Journal of Production Economics, Elsevier, vol. 128(1), pages 110-117, November.
    2. Turnes Osiris & Lee Ho Linda & Imaña Christian Rainier, 2002. "Comparison of Semi-Economic and -R Control Charts for Non-Ageing and Ageing Process," Stochastics and Quality Control, De Gruyter, vol. 17(1), pages 99-112, January.
    3. Emre Berk & Ayhan Özgür Toy, 2009. "Quality control chart design under Jidoka," Naval Research Logistics (NRL), John Wiley & Sons, vol. 56(5), pages 465-477, August.

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