M out of n inspected systems subject to shocks in random environment

Moshe Kenzin, Esther Frostig

Research output: Contribution to journalArticlepeer-review


Consider a parallel redundant system, consisting n components, that is subject to shocks. The shocks cause the components to fail with certain probabilities. Shocks arrival rate and components' failure probabilities may depend on an external Markovian environment. We consider warm and cold stand-by systems. Systems' failures are silent. The system is maintained through inspection and repair/replacement. We propose several state-dependent maintenance policies and derive system availability and cost function.

Original languageEnglish
Pages (from-to)1322-1330
Number of pages9
JournalReliability Engineering and System Safety
Issue number8
StatePublished - Aug 2009


  • Availability
  • Parallel system
  • Phase type distributions
  • Poisson process
  • Random shocks

ASJC Scopus subject areas

  • Safety, Risk, Reliability and Quality
  • Industrial and Manufacturing Engineering


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