A reliability system under different types of shock governed by a Markovian arrival process and maintenance policy K

Delia Montoro-Cazorla and Rafael Pérez-Ocón

European Journal of Operational Research, 2014, vol. 235, issue 3, 636-642

Abstract: A reliability system subject to shocks producing damage and failure is considered. The source of shocks producing failures is governed by a Markovian arrival process. All the shocks produce deterioration and some of them failures, which can be repairable or non-repairable. Repair times are governed by a phase-type distribution. The number of deteriorating shocks that the system can stand is fixed. After a fatal failure the system is replaced by another identical one. For this model the availability, the reliability, and the rate of occurrence of the different types of failures are calculated. It is shown that this model extends other previously published in the literature.

Keywords: Markovian arrival process; Phase-type distribution; Policy K; Repair; Replacement (search for similar items in EconPapers)
Date: 2014
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Citations: View citations in EconPapers (7)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:235:y:2014:i:3:p:636-642

DOI: 10.1016/j.ejor.2014.01.021

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