Analytical properties of an imperfect repair model and application in preventive maintenance scheduling

Dinh Tuan Nguyen, Yann Dijoux and Mitra Fouladirad

European Journal of Operational Research, 2017, vol. 256, issue 2, 439-453

Abstract: The paper considers repairable systems under imperfect repair. The failure rate of a new system is assumed to follow a Weibull distribution and the repair efficiency is characterized by a Kijima type II virtual age model named Arithmetic Reduction of Age with infinite memory. An analytical approach to obtain the distribution of the inter-failure times is presented. The existence of a stationary regime is highlighted and the limiting distributions are explicitly derived. In this context, an optimal age-based preventive maintenance policy can be implemented. Three approaches are proposed, considering a static, a dynamic or a failure limit policy. Numerical simulations are presented to illustrate the policies.

Keywords: Imperfect repair; Virtual age; Stationary regime; Limiting distribution; Preventive maintenance (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (10)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:256:y:2017:i:2:p:439-453

DOI: 10.1016/j.ejor.2016.06.026

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