Bivariate preventive maintenance of systems with lifetimes dependent on a random shock process

Ji Hwan Cha, Maxim Finkelstein, Gregory Levitin

Research output: Contribution to journalArticlepeer-review

39 Scopus citations

Abstract

We consider a bivariate model for preventive maintenance for items operating in a random environment modeled by a Poisson process of shocks. An item is replaced either on failure or on the predetermined replacement time or on a shock with the predetermined number, whichever comes first. Each shock in our stochastic model has a double effect. First, it acts directly on the failure rate of an item, which results in the corresponding stochastic intensity process, secondly, each shock causes additional ‘damage’ which can be attributed, e.g., to a short drop in the output of a system. The corresponding bivariate optimization problem is considered and illustrated by detailed numerical examples.

Original languageEnglish
Pages (from-to)122-134
Number of pages13
JournalEuropean Journal of Operational Research
Volume266
Issue number1
DOIs
StatePublished - 1 Apr 2018

Keywords

  • Bivariate optimization
  • Intensity process
  • Maintenance
  • Poisson shock process
  • Preventive maintenace

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