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

Ji Hwan Cha, Eui Yong Lee

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18 Scopus citations


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
Issue number5
StatePublished - Sep 2010

Bibliographical note

Funding Information:
The work of the first author was supported by Priority Research Centers Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology (2009-0093827). The work of the second author was supported by the Korea Science and Engineering Foundation (KOSEF) grant funded by the Korea government (MOST) (No. R01-2007-000-20045-0 ).


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


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