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Minimum-cost diagnostic strategies for k-out-of-n systems with imperfect tests

机译:具有不完美测试的K-OF-N个系统的最低成本诊断策略

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A k-out-of-n system configuration requires that, for the overall system to be functional, at least k out of the total of n components be working. We consider the problem of sequentially testing the components of a k-out-of-n system in order to learn the state of the system, when the tests are costly and when the individual component tests are imperfect, which means that a test can identify a component as working when in reality it is down, and vice versa. Each component is tested at most once. The stopping criterion for the inspection is the attainment of a lower bound on the confidence level regarding the system state. We define different classes of inspection policies and we examine global optimality of each of the classes. We show that a globally optimal policy can be found in polynomial time when the predictive error probabilities are the same for all the components. (C) 2017 Elsevier B.V. All rights reserved.
机译:K-Out-N系统配置要求,对于整个系统功能,至少k个组件的总共工作。 我们考虑顺序测试K-OUT-N系统的组件的问题,以便在测试昂贵时以及当各个组件测试不完美时,这意味着测试可以识别 实际上,一个组件作为工作,反而,反之亦然。 每个组件最多都经过一次测试。 检查的停止标准是在有关系统状态的置信水平上实现下限。 我们定义了不同类别的检查策略,我们检查每个类的全局最优性。 我们表明,当所有组件的预测误差概率相同时,可以在多项式时间中找到全局最佳策略。 (c)2017 Elsevier B.v.保留所有权利。

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