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A bayes approach to quality control of an M/G/1 queue

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  • Lie‐Fern Hsu
  • Charles S. Tapiero

Abstract

This article provides a Bayes approach for the quality control of a production process which is defined by an M/G/1 queue. An inspection procedure which is jointly optimal from the queue's operational characteristics and quality‐control perspectives is found using a queue‐inspection renewal cycle analysis (with overall expected profit per unit time as the optimization objective). Numerical results are obtained, highlighting the relationships between quality control and (queue‐like) production management.

Suggested Citation

  • Lie‐Fern Hsu & Charles S. Tapiero, 1988. "A bayes approach to quality control of an M/G/1 queue," Naval Research Logistics (NRL), John Wiley & Sons, vol. 35(3), pages 327-343, June.
    • Handle: RePEc:wly:navres:v:35:y:1988:i:3:p:327-343
    DOI: 10.1002/1520-6750(198806)35:33.0.CO;2-Y
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    References listed on IDEAS

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    1. Yao, David D. W. & Buzacott, J. A., 1985. "Queueing models for a flexible machining station Part II: The method of Coxian phases," European Journal of Operational Research, Elsevier, vol. 19(2), pages 241-252, February.
    2. Yao, David D. W. & Buzacott, J. A., 1985. "Queueing models for a flexible machining station Part I: The diffusion approximation," European Journal of Operational Research, Elsevier, vol. 19(2), pages 233-240, February.
    3. Herbert Moskowitz & William L. Berry, 1976. "A Bayesian Algorithm for Determining Optimal Single Sample Acceptance Plans for Product Attributes," Management Science, INFORMS, vol. 22(11), pages 1238-1250, July.
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    Cited by:

    1. Hsu, Lie-Fern & Kuo, Shyanjaw, 1995. "Design of optimal maintenance policies based on on-line sampling plans," European Journal of Operational Research, Elsevier, vol. 86(2), pages 345-357, October.

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