Minimal repair of failed components in coherent systems

Jorge Navarro, Antonio Arriaza and Alfonso Suárez-Llorens

European Journal of Operational Research, 2019, vol. 279, issue 3, 951-964

Abstract: The minimal repair replacement is a reasonable assumption in many practical systems. Under this assumption a failed component is replaced by another one whose reliability is the same as that of the component just before the failure, i.e., a used component with the same age. In this paper we study the minimal repair in coherent systems. We consider both the cases of independent and dependent components. Three replacement policies are studied. In the first one, the first failed component in the system is minimally repaired while, in the second one, we repair the component which causes the system failure. A new technique based on the relevation transform is used to compute the reliability of the systems obtained under these replacement policies. In the third case, we consider the replacement policy which assigns the minimal repair to a fixed component in the system. We compare these three options under different stochastic criteria and for different system structures. In particular, we provide the optimal strategies for all the coherent systems with 1–4 independent and identically distributed components.

Keywords: Coherent systems; Minimal repair; Distorted distributions; Copula; Stochastic orders (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (11)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:279:y:2019:i:3:p:951-964

DOI: 10.1016/j.ejor.2019.06.013

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