Preventive maintenance for the constrained multi-attempt minimal repair

Ji Hwan Cha and Maxim Finkelstein

Reliability Engineering and System Safety, 2024, vol. 243, issue C

Abstract: In practice, at some instances, the repair of a failed item can be unsuccessful and should be repeated due to various reasons. This can happen in practice with a minimal repair when a failed part of a system is replaced, e.g., by the faulty spare. The corresponding stochastic model that takes into account this possibility can be described probabilistically in terms of the Polya-Aeppli process, which is a generalization of the Poisson process to the case of multiple occurrences of events. Some useful properties for considering optimal preventive maintenance problems are derived. The optimal replacement policy for a system with the multi-attempt minimal repairs is defined and analysed. The characteristic feature of this policy is that the system is replaced not only on reaching the predetermined age but also after a fixed number of unsuccessful minimal repairs. The detailed numerical examples illustrate our findings.

Keywords: Minimal repair; Polya-Aeppli process; Poisson process; Maintenance; Optimal replacement (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:reensy:v:243:y:2024:i:c:s095183202300813x

DOI: 10.1016/j.ress.2023.109899

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