Two sample Bayesian acceptance sampling plan

Deepak Prajapati (), Shuvashree Mondal and Debasis Kundu
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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

Annals of Operations Research, 2024, vol. 340, issue 1, No 19, 425-449

Abstract: 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.

Keywords: Acceptance sampling; Bayesian acceptance sampling plan; Bayes decision function; Bayes risk; Joint censoring scheme (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s10479-023-05804-6

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