A novel replacement policy for a linear deteriorating system using stochastic process with dependent components

Aynura Poladova, Salih Tekin and Tahir Khaniyev

Applied Stochastic Models in Business and Industry, 2020, vol. 36, issue 3, 381-396

Abstract: In this study, a mechanical system with linear deterioration and preventive maintenance is considered. The state of the system over time is represented by a semicontinuous stochastic process with dependent components. The system cycles through on and off periods during its lifetime. The state of the system deteriorates linearly as a function of the usage time during on periods. When the system is offline, preventive maintenance is conducted, which improves the system state by a random amount. The system's on and off times and random improvement amounts are assumed to have general distributions. For such a system, our objective is to determine the expected value and variance for the number of preventive maintenance activities needed during the system lifetime and to propose a novel replacement policy for the system based on delay‐time modeling. Finally, the effectiveness of the obtained asymptotic results and the proposed replacement policy are tested through simulation.

Date: 2020
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https://doi.org/10.1002/asmb.2494

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Persistent link: https://EconPapers.repec.org/RePEc:wly:apsmbi:v:36:y:2020:i:3:p:381-396

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