A general shock model for a reliability system

被引：18

作者：

Skoulakis, G ^{[1
]}

机构：

[1] Northwestern Univ, JL Kellogg Grad Sch Management, Dept Finance, Evanston, IL 60208 USA

来源：

JOURNAL OF APPLIED PROBABILITY | 2000年 / 37卷 / 04期

关键词：

system reliability; shock models; random environment; parallel system; general system;

D O I：

10.1017/S002190020001812X

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

We study a reliability system subject to shocks generated by a renewal point process. When a shock occurs, components fail independently of each other with equal probabilities that are random numbers drawn from a distribution that may differ from shock to shuck. We first consider the case of a parallel system and derive closed expressions for the Laplace-Stieltjes transform and the expectation of the time to system failure and for its density in the case that the distribution function of the renewal process possesses a density. We then treat a more general system structure, which has some very important special cases, such as k-out-of-n:F systems, and derive analogous formulae.

引用

页码：925 / 935

页数：11

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