On ordered system signature and its dynamic version for coherent systems with applications

IF 0.7 4区数学 Q3 STATISTICS & PROBABILITY

Journal of Applied Probability Pub Date : 2023-02-28 DOI:10.1017/jpr.2022.110

He Yi, N. Balakrishnan, Xiang Li

引用次数: 0

Abstract

Abstract The notion of ordered system signature, originally defined for independent and identical coherent systems, is first extended to the case of independent and non-identical coherent systems, and then some key properties that help simplify its computation are established. Through its use, a dynamic ordered system signature is defined next, which facilitates a systematic study of dynamic properties of several coherent systems under a life test. The theoretical results established here are then illustrated through some specific examples. Finally, the usefulness in the evaluation of aging used systems of the concepts introduced is demonstrated.

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相干系统的有序系统签名及其动态版本

摘要最初为独立和完全相同的相干系统定义的有序系统签名的概念，首先推广到独立和完全不同的相干系统的情况，然后建立了一些有助于简化其计算的关键性质。通过使用它，接下来定义了一个动态有序系统签名，这有助于系统地研究几个相干系统在寿命测试下的动态特性。然后通过一些具体的例子说明了本文建立的理论结果。最后，论证了所引入的概念在老化使用系统评价中的实用性。

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

Journal of Applied Probability 数学-统计学与概率论

CiteScore

1.50

自引率

10.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Journal of Applied Probability is the oldest journal devoted to the publication of research in the field of applied probability. It is an international journal published by the Applied Probability Trust, and it serves as a companion publication to the Advances in Applied Probability. Its wide audience includes leading researchers across the entire spectrum of applied probability, including biosciences applications, 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.