Reliability analysis of a parallel repairable system based on Markovian arrival process

被引:0
|
作者
Liao, Ji-Ding [1 ]
Wu, Jin-Biao [2 ]
Liu, Zai-Ming [2 ]
Yang, Gang [3 ]
机构
[1] School of Mathematics and Physics, South China University, Hengyang 421001, China
[2] School of Mathematical Science and Computing Technology, Central South University, Changsha 410075, China
[3] Department of Information, Hunan University of Commerce, Changsha 410205, China
关键词
Markov processes;
D O I
暂无
中图分类号
O211 [概率论(几率论、或然率论)];
学科分类号
摘要
In this paper, we consider a parallel repairable system operating in a finite state Markovian random environment with L identical components subject to failures and with N repairmen. Accidental failures arrive to each component following a Markovian arrival process. The repair times follow phase-type distributions. The multi-dimensional Markov chains describing the behavior of the system is investigated. The algorithm for calculating the stationary state probabilities is elaborated. Useful performance measures in reliability are explicitly calculated. Numerical examples are presented.
引用
收藏
页码:1040 / 1046
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