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

Delia Montoro-Cazorla; Rafael Pérez-Ocón; Maria del Carmen Segovia

doi:10.1016/j.ress.2008.06.007

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

Delia Montoro-Cazorla, Rafael Pérez-Ocón, Maria del Carmen Segovia

Electronic And Electrical Engineering

Research output: Contribution to journal › Article › peer-review

37 Citations (Scopus)

Abstract

A system subject to shocks that arrive following a Markovian arrival process is presented. 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.

Original language	English
Pages (from-to)	497-502
Number of pages	6
Journal	Reliability Engineering and System Safety
Volume	94
Issue number	2
Early online date	19 Jun 2008
DOIs	https://doi.org/10.1016/j.ress.2008.06.007
Publication status	Published - 1 Feb 2009

Keywords

Markovian arrival process
minimal repair
replacement
phase-type distribution

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10.1016/j.ress.2008.06.007

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N2 - A system subject to shocks that arrive following a Markovian arrival process is presented. 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.

AB - A system subject to shocks that arrive following a Markovian arrival process is presented. 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.

KW - Markovian arrival process

KW - minimal repair

KW - replacement

KW - phase-type distribution

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JO - Reliability Engineering and System Safety

JF - Reliability Engineering and System Safety

IS - 2

ER -

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

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Keywords

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