Replacement policy in a system under shocks following a Markovian arrival process

被引：35

作者：

Montoro-Cazorla, Delia ^{[2
]}

Perez-Ocon, Rafael ^{[1
]}

del Carmen Segovia, Maria ^{[3
]}

机构：

[1] Univ Granada, Dept Stat & Operat Res, Granada, Spain

[2] Univ Jaen, Dept Stat & Operat Res, Jaen, Spain

[3] Univ Granada, Dept Estadist & IO, Granada, Spain

来源：

RELIABILITY ENGINEERING & SYSTEM SAFETY | 2009年 / 94卷 / 02期

关键词：

Markovian arrival process; Minimal repair; Replacement; Phase-type distribution; REPAIR; DISTRIBUTIONS;

D O I：

10.1016/j.ress.2008.06.007

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We present a system subject to shocks that arrive following a Markovian arrival process. The system is minimally repaired. It is replaced when a certain number of shocks arrive. A general model where the replacements are governed by a discrete phase-type distribution is studied. For this system, the Markov process governing the system is constructed, and the interarrival times between replacements and the number of replacements are calculated. A special case of this system is when it can stand a prefixed number of shocks. For this new system, the same performance measures are calculated. The systems are considered in transient and stationary regime. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：497 / 502

页数：6

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