Load-Sharing Reliability Models with Different Component Sensitivities to Other Components’ Working States

IF 0.9 4区数学 Q3 STATISTICS & PROBABILITY

Advances in Applied Probability Pub Date : 2021-03-01 DOI:10.1017/apr.2020.49

T. Rychlik, F. Spizzichino

引用次数: 4

Abstract

Abstract We study the distributions of component and system lifetimes under the time-homogeneous load-sharing model, where the multivariate conditional hazard rates of working components depend only on the set of failed components, and not on their failure moments or the time elapsed from the start of system operation. Then we analyze its time-heterogeneous extension, in which the distributions of consecutive failure times, single component lifetimes, and system lifetimes coincide with mixtures of distributions of generalized order statistics. Finally we focus on some specific forms of the time-nonhomogeneous load-sharing model.

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不同部件对其他部件工作状态敏感性的负载分担可靠性模型

摘要我们研究了时间均匀负载分担模型下组件和系统寿命的分布，其中工作组件的多变量条件危险率仅取决于失效组件的集合，而不取决于它们的失效时刻或从系统运行开始所经过的时间。然后我们分析了它的时间异质扩展，其中连续故障时间、单部件寿命和系统寿命的分布与广义阶统计量的分布的混合一致。最后，我们重点讨论了时间非齐次负荷分担模型的一些具体形式。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Advances in Applied Probability 数学-统计学与概率论

CiteScore

2.00

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： The Advances in Applied Probability has been published by the Applied Probability Trust for over four decades, and is a companion publication to the Journal of Applied Probability. It contains mathematical and scientific papers of interest to applied probabilists, with emphasis on applications in a broad spectrum of disciplines, including the biosciences, operations research, telecommunications, computer science, engineering, epidemiology, financial mathematics, the physical and social sciences, and any field where stochastic modeling is used. A submission to Applied Probability represents a submission that may, at the Editor-in-Chief’s discretion, appear in either the Journal of Applied Probability or the Advances in Applied Probability. Typically, shorter papers appear in the Journal, with longer contributions appearing in the Advances.