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Preventive maintenance optimization for a stochastically degrading system with a random initial age

I.B. Sidibe, A. Khatab, C. Diallo and A. Kassambara

Reliability Engineering and System Safety, 2017, vol. 159, issue C, 255-263

Abstract: This paper investigates the optimal age replacement policy for used systems, such as second-hand products, which start their second life-cycle in a more severe environment with an initial age that is uncertain. This uncertain age is modelled as a random variable following continuous probability distributions. A mathematical model is developed to minimize the total expected cost per unit of time for these systems on an infinite time horizon. Optimality and existence conditions for a unique optimal solution are derived and used in a numerical procedure to solve the problem. Numerical experiments are provided to demonstrate the added value and the impacts of the random initial age on the optimal replacement policy.

Keywords: Used systems; Preventive maintenance; Second-hand products; Optimization (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:reensy:v:159:y:2017:i:c:p:255-263

DOI: 10.1016/j.ress.2016.11.018

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