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.
Original language | English |
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Article number | 109899 |
Number of pages | 7 |
Journal | Reliability Engineering and System Safety |
Volume | 243 |
Early online date | 29 Dec 2023 |
DOIs | |
Publication status | Published - 31 Mar 2024 |
Keywords
- minimal repair
- Polya-Aeppli process
- Poisson process
- maintenance
- optimal replacement