Optimal age replacement policy for discrete time parallel systems

Serkan Eryilmaz () and Fatih Tank
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Serkan Eryilmaz: Atilim University
Fatih Tank: Ankara University

TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, 2023, vol. 31, issue 3, No 1, 475-490

Abstract: Abstract In the case of discrete age replacement policy, a system whose lifetime is measured by the number cycles is replaced preventively after a specific number of cycles or correctively at failure, whichever occurs first. Under the discrete setup, the policy has been mostly considered for single unit systems. In this paper, a discrete time age replacement policy is studied for a parallel system that consists of components having discretely distributed lifetimes. In particular, the necessary conditions for the unique and finite replacement cycle that minimize the expected cost rate are obtained. The theoretical results are illustrated with numerical examples to observe the effect of the cost values and the mean lifetime of the components on the optimal replacement cycle.

Keywords: Age replacement; Bivariate phase-type distribution; Hazard rate; Parallel system; Reliability; 90B25; 62N05 (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1007/s11750-022-00648-y

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