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

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

Research output: Contribution to journalArticle

32 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.
LanguageEnglish
Pages497-502
Number of pages6
JournalReliability Engineering and System Safety
Volume94
Issue number2
Early online date19 Jun 2008
DOIs
Publication statusPublished - 1 Feb 2009

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Markovian Arrival Process
Replacement Policy
Markov processes
Shock
Replacement
Phase-type Distribution
Discrete Distributions
Performance Measures
Markov Process

Keywords

  • Markovian arrival process
  • minimal repair
  • replacement
  • phase-type distribution

Cite this

Montoro-Cazorla, Delia ; Pérez-Ocón, Rafael ; Segovia, Maria del Carmen. / Replacement policy in a system under shocks following a Markovian arrival process. In: Reliability Engineering and System Safety. 2009 ; Vol. 94, No. 2. pp. 497-502.
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Replacement policy in a system under shocks following a Markovian arrival process. / Montoro-Cazorla, Delia; Pérez-Ocón, Rafael; Segovia, Maria del Carmen.

In: Reliability Engineering and System Safety, Vol. 94, No. 2, 01.02.2009, p. 497-502.

Research output: Contribution to journalArticle

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