THE RELIABILITY OF A LARGE SERIES SYSTEM UNDER MARKOV STRUCTURE

被引：63

作者：

CHAO, MT ^{[1
]}

FU, JC ^{[1
]}

机构：

[1] UNIV MANITOBA,DEPT STAT,WINNIPEG R3T 2N2,MANITOBA,CANADA

来源：

ADVANCES IN APPLIED PROBABILITY | 1991年 / 23卷 / 04期

关键词：

GENERAL SERIES SYSTEM; CONSECUTIVE-K-OUT-OF-N-F SYSTEM; MARKOV CHAIN; TRANSITION PROBABILITY MATRIX;

D O I：

10.2307/1427682

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：

Let Y1,...,Y(n) be a finite Markov chain and let f be a binary value function defined over the state space of the Y's. We study the reliability of general series system having the structure function phi(Y) = min {f(Y1),...,f(Y(n))} and show that, under certain regularity conditions, the reliability of the system tends to a constant c (1 > c > 0), where c often has the form c = exp {-lambda}.

引用

页码：894 / 908

页数：15

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