Bivariate preventive maintenance for repairable systems subject to random shocks

Ji Hwan Cha, Maxim Finkelstein and Gregory Levitin

Journal of Risk and Reliability, 2017, vol. 231, issue 6, 643-653

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 on the predetermined replacement time or on a shock with the predetermined number, whichever comes first. Its failures are minimally repaired in-between. 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. Second, each shock causes additional “damage,†which can be attributed, for example, to a short drop in the output of a system or other adverse consequences. The corresponding bivariate optimization problem is considered and illustrated by detailed numerical examples.

Keywords: Preventive maintenance; minimal repair; Poisson shock process; intensity process; bivariate optimization (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:sae:risrel:v:231:y:2017:i:6:p:643-653

DOI: 10.1177/1748006X17721797

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