Bayesian reliability acceptance sampling plan with optional warranty under hybrid censoring

Article Type

Research Article

Publication Title

Quality and Reliability Engineering International

Abstract

This work considers the design of a Bayesian reliability acceptance sampling plan (RASP) under a hybrid censored life test for the products sold under an optional warranty. The consumer and manufacturer agree on a common lifetime distribution of the product. However, they differ in the assessment of the prior distributions because of the adversarial nature of the consumer and manufacturer. The consumer takes a decision based on his/her utility and prior belief without a warranty offer by the manufacturer. If the decision is rejection, the manufacturer provides warranty offer to the consumer. If the consumer rejects the lot with a warranty, the manufacturer conducts a life test under the hybrid censoring scheme (HCS) and provides lifetime information to the consumer. The consumer updates his/her belief based on lifetime information provided by the manufacturer. The consumer then takes a decision of acceptance or rejection of the lot based on updated beliefs. The task of the manufacturer is to determine the optimal life testing plan.

First Page

872

Last Page

896

DOI

10.1002/qre.3684

Publication Date

3-1-2025

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