A novel replacement policy for a linear deteriorating system using stochastic process with dependent components
Applied Stochastic Models in Business and Industry, vol.36, no.3, pp.381-396, 2020 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 36 Issue: 3
- Publication Date: 2020
- Doi Number: 10.1002/asmb.2494
- Journal Name: Applied Stochastic Models in Business and Industry
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, Business Source Elite, Business Source Premier, Communication Abstracts, Compendex, INSPEC, Metadex, zbMATH, Civil Engineering Abstracts
- Page Numbers: pp.381-396
- Keywords: boundary functionals, linearly deteriorating system, preventive maintenance, replacement policy, stochastic process with dependent components
- Open Archive Collection: Article
- Azerbaijan State University of Economics (UNEC) Affiliated: No
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.