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Optimal Bayesian single‐sampling attribute plans with modified beta prior distribution

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  • George Tagaras
  • Hau L. Lee

Abstract

In this article we study the properties of the optimal Bayesian single‐sampling plans when the prior distribution of the lot fraction defective is modified Beta, which has been found useful in the analysis of inspection schemes for complex production systems. These properties are used to devise an improved and more efficient algorithm for the determination of the optimal sampling plans. Numerical examples are presented to illustrate the potential computational savings of the algorithm.

Suggested Citation

  • George Tagaras & Hau L. Lee, 1987. "Optimal Bayesian single‐sampling attribute plans with modified beta prior distribution," Naval Research Logistics (NRL), John Wiley & Sons, vol. 34(6), pages 789-801, December.
    • Handle: RePEc:wly:navres:v:34:y:1987:i:6:p:789-801
    DOI: 10.1002/1520-6750(198712)34:63.0.CO;2-D
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    References listed on IDEAS

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    1. Thomas J. Lorenzen, 1985. "Minimum cost sampling plans using bayesian methods," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 32(1), pages 57-69, February.
    2. David G. Champernowne, 1953. "The Economics of Sequential Sampling Procedures for Defectives," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 2(2), pages 118-130, June.
    3. Kenneth E. Case & Shao‐Shing Chen, 1985. "Some recent findings in bayesian attribute single and double sampling," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 32(1), pages 71-79, February.
    4. 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. Do Sun Bai & Sung Hoon Hong, 1990. "Economic design of sampling plans with multi‐decision alternatives," Naval Research Logistics (NRL), John Wiley & Sons, vol. 37(6), pages 905-918, December.
    2. Carlos Pérez-González & Arturo Fernández, 2013. "Classical versus Bayesian risks in acceptance sampling: a sensitivity analysis," Computational Statistics, Springer, vol. 28(3), pages 1333-1350, June.
    3. Shoshana Anily & Abraham Grosfeld-Nir, 2006. "An Optimal Lot-Sizing and Offline Inspection Policy in the Case of Nonrigid Demand," Operations Research, INFORMS, vol. 54(2), pages 311-323, April.
    4. Hau L. Lee & George Tagaras, 1989. "On the robustness of the modified beta distribution for acceptance sampling in statistical quality control," Naval Research Logistics (NRL), John Wiley & Sons, vol. 36(4), pages 447-461, August.

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