Preventive maintenance for the constrained multi-attempt minimal repair

Cha, Ji Hwan and Finkelstein, Maxim (2024) Preventive maintenance for the constrained multi-attempt minimal repair. Reliability Engineering and System Safety, 243. 109899. ISSN 0951-8320 (https://doi.org/10.1016/j.ress.2023.109899)

[thumbnail of Finkelstein-Cha-RESS-2024-Preventive-maintenance-for-the-constrained-multi-attempt-minimal-repair] Text. Filename: Finkelstein-Cha-RESS-2024-Preventive-maintenance-for-the-constrained-multi-attempt-minimal-repair.pdf
Accepted Author Manuscript
Restricted to Repository staff only until 29 December 2024.
License: Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 logo

Download (749kB) | Request a copy

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.