Analysis of a multi-component system with failure dependency, N-policy and vacations

被引：15

作者：

He, Gang ^{[1
]}

Wu, Wenqing ^{[2
]}

Zhang, Yuanyuan ^{[2
]}

机构：

[1] Southwest Univ Sci & Technol, Sch Comp Sci & Technol, Mianyang 621010, Peoples R China

[2] Southwest Univ Sci & Technol, Sch Sci, Mianyang 621010, Peoples R China

来源：

OPERATIONS RESEARCH PERSPECTIVES | 2018年 / 5卷

关键词：

k-out-of-n:G system; Redundant dependency; Reliability measure; Matrix analytical method; Phase type;

D O I：

10.1016/j.orp.2018.07.005

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

This paper studies a repairable k-out-of-n:G system with failure dependencies, N-policy and repairman's multiple vacations. Whenever there are no broken components, the repairman leaves for a vacation which obeys a phase type distribution. Upon returning from his/her vacation, he/she takes another vacation if broken components waiting less than N. This pattern continues until at least N broken components are waiting. By using the Markov process theory, the matrix analytical method and the probabilistic properties of the phase type distribution, the availability and the rate of occurrence of failures of the system are derived in transient and stationary regimes. Further, numerical examples discuss the behavior of the system reliability measures.

引用

页码：191 / 198

页数：8

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