Optimal maintenance policy for a system subject to damage in a discrete time process

Yu-Hung Chien, Shey-Huei Sheu and Zhe George Zhang

Reliability Engineering and System Safety, 2012, vol. 103, issue C, 1-10

Abstract: Consider a system operating over n discrete time periods (n=1, 2, …). Each operation period causes a random amount of damage to the system which accumulates over time periods. The system fails when the cumulative damage exceeds a failure level ζ and a corrective maintenance (CM) action is immediately taken. To prevent such a failure, a preventive maintenance (PM) may be performed. In an operation period without a CM or PM, a regular maintenance (RM) is conducted at the end of that period to maintain the operation of the system. We propose a maintenance policy which prescribes a PM when the accumulated damage exceeds a pre-specified level δ (<ζ), or when the number of operation periods reaches N, whichever comes first. With the long-term average cost rate as an optimality criterion, we optimize the maintenance policy parameters δ⠎ and N⠎ and discuss some useful properties about them. It has been shown that a δ-based PM outperforms a N-based PM in terms of cost minimization. Numerical examples are presented to demonstrate the optimization of this class of maintenance policies.

Keywords: Maintenance; Cumulative damage; Expected cost rate; Operation period; Renewal reward theory (search for similar items in EconPapers)
Date: 2012
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Citations: View citations in EconPapers (8)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:reensy:v:103:y:2012:i:c:p:1-10

DOI: 10.1016/j.ress.2012.03.002

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