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

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

Reliability Engineering and System Safety, 2009, vol. 94, issue 2, 497-502

Abstract: 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.

Keywords: Markovian arrival process; Minimal repair; Replacement; Phase-type distribution (search for similar items in EconPapers)
Date: 2009
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Citations: View citations in EconPapers (24)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:reensy:v:94:y:2009:i:2:p:497-502

DOI: 10.1016/j.ress.2008.06.007

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