On a Markov chain approach for the study of reliability structures

被引：73
作者：
Koutras, MV
机构：
来源：
JOURNAL OF APPLIED PROBABILITY | 1996年 / 33卷 / 02期
关键词：
Markov imbedding; Markov chain; transition probability matrix; reliability generating function; consecutive systems;
D O I：
10.2307/3215059
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：
In this paper we consider a class of reliability structures which can be efficiently described through (imbedded in) finite Markov chains. Some general results are provided for the reliability evaluation and generating functions of such systems. Finally, it is shown that a great variety of well known reliability structures can be accommodated in this general framework, and certain properties of those structures are obtained on using their Markov chain imbedding description.
引用
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页码：357 / 367
页数：11
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