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

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...

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Published in:Reliability engineering & system safety 2009-02, Vol.94 (2), p.497-502
Main Authors: Montoro-Cazorla, Delia, Pérez-Ocón, Rafael, del Carmen Segovia, Maria
Format: Article
Language:English
Subjects:
Applied sciences
Exact sciences and technology
Markovian arrival process
Minimal repair
Operational research and scientific management
Operational research. Management science
Phase-type distribution
Reliability theory. Replacement problems
Replacement
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description 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.
doi_str_mv 10.1016/j.ress.2008.06.007
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subjects Applied sciences
Exact sciences and technology
Markovian arrival process
Minimal repair
Operational research and scientific management
Operational research. Management science
Phase-type distribution
Reliability theory. Replacement problems
Replacement
title Replacement policy in a system under shocks following a Markovian arrival process
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