An extended stochastic failure model for a system subject to random shocks

Ji Hwan Cha, Eui Yong Lee

Research output: Contribution to journalArticlepeer-review

17 Scopus citations

Abstract

In this article, a stochastic failure model for a system subject to a random shock process is studied. It is assumed that a fatal shock results in an immediate system failure, whereas a non-fatal shock may increase the susceptibility of the system to failure. The lifetime distribution of the system and its failure rate function are derived, and the effect of environmental factors on the failure process of the system is also investigated. Lifetimes of systems operated under different environmental conditions are stochastically compared.

Original languageEnglish
Pages (from-to)468-473
Number of pages6
JournalOperations Research Letters
Volume38
Issue number5
DOIs
StatePublished - Sep 2010

Keywords

  • Baseline failure rate function
  • Compound failure rate function
  • Extreme shock model
  • Failure rate increment
  • Poisson shock process
  • Stochastic ordering

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