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Two Reliability Acceptance Sampling Plans for Items Subject to Wiener Process of Degradation
Methodology and Computing in Applied Probability ( IF 0.9 ) Pub Date : 2021-07-13 , DOI: 10.1007/s11009-021-09879-1
Ji Hwan Cha 1 , Sophie Mercier 2
Affiliation  

Traditionally, in reliability acceptance sampling plans, the decision to accept or reject a lot is made by performing the life tests of items. However, when the item’s deterioration is described by a degradation process, it can be made based on the observed deterioration levels of the items obtained from degradation tests. In this paper, two acceptance sampling plans are developed, based on the observation of the deterioration of the items, accumulated on a given period of time. To model the degradation of the items over time, the Wiener process with positive drift is employed. Algorithms to find the parameters of the proposed sampling plans are suggested. Conditionally on the acceptance in the test, the developed sampling plans are shown to improve the reliability performance of the items in the sense that the lifetimes of the items after the reliability sampling test are stochastically larger than those before the test. Also, we compare the two sampling plans both from a technical and economical points of view.



中文翻译:

受 Wiener 退化过程影响的项目的两个可靠性验收抽样方案

传统上,在可靠性验收抽样计划中,通过执行项目的寿命测试来决定接受或拒绝一批。然而,当项目的劣化是用一个劣化过程来描述时,它可以根据从劣化测试中获得的项目的观测劣化水平来确定。在本文中,根据对给定时间段内累积的物品变质情况的观察,制定了两个验收抽样计划。为了模拟物品随时间的退化,采用具有正漂移的维纳过程。建议使用算法来寻找所提议的抽样计划的参数。有条件地在测试中接受,在可靠性抽样测试后项目的寿命随机大于测试前的情况下,开发的抽样计划被证明可以提高项目的可靠性性能。此外,我们从技术和经济的角度比较了两种抽样方案。

更新日期:2021-07-13
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