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arXiv 2402.09020stat.AP
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混合删失下带可选保修的贝叶斯可靠性验收抽样方案

Bayesian reliability acceptance sampling plan with optional warranty under hybrid censoring

Rathin Das, Biswabrata Pradhan

AI总结:

本文针对可选保修下销售的产品,提出在混合删失寿命试验中设计贝叶斯可靠性验收抽样方案,通过消费者与制造商的先验信念差异和保修博弈,确定最优寿命试验方案。

摘要:

本文考虑在混合删失寿命试验下,针对在可选保修下销售的产品,设计贝叶斯可靠性验收抽样方案(RASP)。消费者和制造商就产品的共同寿命分布达成一致。然而,由于消费者和制造商的对立性质,他们在先验分布的评估上存在分歧。消费者根据其效用和先验信念,在制造商未提供保修的情况下做出决定。如果决定是拒收,制造商向消费者提供保修。如果消费者在有保修的情况下拒收该批产品,制造商在混合删失方案(HCS)下进行寿命试验,并向消费者提供寿命数据。消费者根据制造商提供的寿命数据更新其信念。消费者随后根据更新后的信念做出接受或拒收该批产品的决定。制造商的任务是确定最优寿命试验方案。

英文摘要:

This work considers design of Bayesian reliability acceptance sampling plan (RASP) under hybrid censored life test for the products sold under 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 decision based on his/her utility and prior belief without warranty offer by the manufacturer. If the decision is rejection, manufacturer provides warranty offer to the consumer. If the consumer rejects the lot with a warranty, the manufacturer conducts life test under hybrid censoring scheme (HCS) and provide lifetime information to the consumer. The consumer updates his/her belief based on lifetime information provided by the manufacturer. The consumer then takes decision of acceptance or rejection of lot based on updated belief. Task of the manufacturer is to determine the optimal life testing plan.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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