Steady-state imperfect repair models

Xingheng Liu, Maxim Finkelstein, Jørn Vatn and Yann Dijoux

European Journal of Operational Research, 2020, vol. 286, issue 2, 538-546

Abstract: Imperfect maintenance models are widely used in reliability engineering. This paper discusses relevant asymptotic properties for the steady-state virtual age processes. It is shown that the limiting distributions of age, the residual lifetime and the spread that describe an ordinary renewal process can be generalized to the stable virtual age process, although the cycles of the latter are not independent. Asymptotic distributions of the virtual age at time t, as well as of the virtual ages at the start and the end of a cycle containing t (as t tends to infinity) are explicitly derived for two popular in practice imperfect maintenance models, namely, the Arithmetic Reduction of Age (ARA) and the Brown–Proschan (BP) models. Some applications of the obtained results to maintenance optimization are discussed.

Keywords: Maintenance; Imperfect repair; Virtual age process; Renewal theory; Limiting distribution (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:286:y:2020:i:2:p:538-546

DOI: 10.1016/j.ejor.2020.03.057

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