Preventive maintenance for the constrained multi-attempt minimal repair

Ji Hwan Cha, Maxim Finkelstein

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

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 languageEnglish
Article number109899
Number of pages7
JournalReliability Engineering and System Safety
Volume243
Early online date29 Dec 2023
DOIs
Publication statusPublished - 31 Mar 2024

Keywords

  • minimal repair
  • Polya-Aeppli process
  • Poisson process
  • maintenance
  • optimal replacement

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