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Economic Design of np Charts for Processes Subject to a Multiplicity of Assignable Causes

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  • W. K. Chiu

    (University of Hong Kong)

Abstract

A model is developed for production processes which have an in-control state and may jump to one of several out-of-control states in course of time, each such state being associated with an assignable cause. The quality characteristic is an attribute so that an np-chart control scheme is applied. Various cost and time elements are included in the derivation of the loss-cost function. By minimizing this function with respect to the three control variables, namely, the sampling interval, the sample size and the acceptance number, the economically optimal control plan can be obtained. A numerical example is given using a new prior distribution. The results compare favourably with those derived from a matched single cause model.

Suggested Citation

  • W. K. Chiu, 1976. "Economic Design of np Charts for Processes Subject to a Multiplicity of Assignable Causes," Management Science, INFORMS, vol. 23(4), pages 404-411, December.
    • Handle: RePEc:inm:ormnsc:v:23:y:1976:i:4:p:404-411
    DOI: 10.1287/mnsc.23.4.404
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    Cited by:

    1. Viliam Makis, 2008. "Multivariate Bayesian Control Chart," Operations Research, INFORMS, vol. 56(2), pages 487-496, April.
    2. Makis, Viliam, 2009. "Multivariate Bayesian process control for a finite production run," European Journal of Operational Research, Elsevier, vol. 194(3), pages 795-806, May.
    3. Kudo Kazuki & Ohta Hiroshi & Kusukawa Etsuko, 2004. "Economic Design of A Dynamic CCC – r Chart for High-Yield Processes," Stochastics and Quality Control, De Gruyter, vol. 19(1), pages 7-21, January.
    4. Sana, Shib Sankar & Goyal, Suresh Kumar & Chaudhuri, Kripasindhu, 2007. "An imperfect production process in a volume flexible inventory model," International Journal of Production Economics, Elsevier, vol. 105(2), pages 548-559, February.
    5. Chakravarty, Amiya K. & Balakrishnan, Nagraj, 1997. "Job sequencing rules for minimizing the expected makespan in flexible machines," European Journal of Operational Research, Elsevier, vol. 96(2), pages 274-288, January.
    6. George Tagaras & Yiannis Nikolaidis, 2002. "Comparing the Effectiveness of Various Bayesian X̄ Control Charts," Operations Research, INFORMS, vol. 50(5), pages 878-888, October.
    7. George Tagaras, 1989. "Power approximations in the economic design of control charts," Naval Research Logistics (NRL), John Wiley & Sons, vol. 36(5), pages 639-654, October.
    8. Nagraj Balakrishnan & Amiya K. Chakravarty, 2001. "Opportunistic retooling of a flexible machine subject to failure," Naval Research Logistics (NRL), John Wiley & Sons, vol. 48(1), pages 79-97, February.
    9. 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.
    10. Jue Wang & Chi-Guhn Lee, 2015. "Multistate Bayesian Control Chart Over a Finite Horizon," Operations Research, INFORMS, vol. 63(4), pages 949-964, August.

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