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Two sample Bayesian acceptance sampling plan

Author

Listed:
  • Deepak Prajapati

    (Indian Institute of Management Lucknow)

  • Shuvashree Mondal

    (Indian Institute of Technology (Indian School of Mines) Dhanbad)

  • Debasis Kundu

    (Indian Institute of Technology Kanpur)

Abstract

This article presents the optimal Bayesian acceptance sampling plan (BASP) for two sample cases. In constructing the BASP, the decision-theoretic approach is used with a specified loss function, and the Bayes decision rule is developed by minimizing the Bayes risk. Both batches of products from the production line are accepted or rejected simultaneously based on the observed sample. Such implementation has a significant advantage in reducing the cost and time by deciding on the acceptance or rejection of both the batches in a single-life testing experiment. The optimal BASP is derived under the assumption of Weibull and exponential lifetimes, although it can be extended for other lifetime distributions also. Some numerical results have been presented to show the performances of the proposed BASP. We have presented the analysis of two data sets; (i) real and (ii) simulated, mainly to show how the proposed method can be used in practice.

Suggested Citation

  • Deepak Prajapati & Shuvashree Mondal & Debasis Kundu, 2024. "Two sample Bayesian acceptance sampling plan," Annals of Operations Research, Springer, vol. 340(1), pages 425-449, September.
    • Handle: RePEc:spr:annopr:v:340:y:2024:i:1:d:10.1007_s10479-023-05804-6
    DOI: 10.1007/s10479-023-05804-6
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