On the reliability and optimal maintenance of systems under a generalized mixed δ -shock model

Mohsen Bohlooli-Zefreh, Majid Asadi and Afshin Parvardeh

Journal of Risk and Reliability, 2021, vol. 235, issue 5, 909-922

Abstract: This article is a study on the reliability characteristics of a system under a failure model called the generalized mixed δ -shock model. We assume that the system is subject to shocks according to a stochastic process. Each shock may cause some damage to the system. The system fails either the magnitude of the damage caused by a shock exceeds a threshold γ 2 or the time between two consecutive shocks is less than a pre-specified threshold δ and simultaneously magnitude of the damage is bigger than a pre-specified critical threshold γ 1 ( γ 1

Keywords: δ-shock model; reliability function; replacement policy N; cost function; system availability (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:sae:risrel:v:235:y:2021:i:5:p:909-922

DOI: 10.1177/1748006X211002306

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