A stochastic failure model with dependent competing risks and its applications to condition-based maintenance

Ji Hwan Cha, Inma T. Castro

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

In this paper a stochastic failure model for a system with stochastically dependent competing failures is analyzed. The system is subject to two types of failure: degradation failure and catastrophic failure. Both types of failure share an initial common source: an external shock process. This implies that they are stochastically dependent. In our developments of the model, the type of dependency between the two kinds of failure will be characterized. Conditional properties of the two competing risks are also investigated. These properties are the fundamental basis for the development of the maintenance strategy studied in this paper. Considering this maintenance strategy, the long-run average cost rate is derived and the optimal maintenance policy is discussed.

Original languageEnglish
Pages (from-to)558-573
Number of pages16
JournalJournal of Applied Probability
Volume52
Issue number2
DOIs
StatePublished - 1 Jun 2015

Keywords

  • Baseline failure rate function
  • Catastrophic failure
  • Condition-based maintenance
  • Degradation process
  • Dependent competing risks
  • External shock process

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