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 journalArticlepeer-review

35 Citations (Scopus)


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 languageEnglish
Pages (from-to)497-502
Number of pages6
JournalReliability Engineering and System Safety
Issue number2
Early online date19 Jun 2008
Publication statusPublished - 1 Feb 2009


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

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