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Mean residual life of coherent systems consisting of multiple types of dependent components
Authors:Serkan Eryilmaz  Frank PA Coolen  Tahani Coolen‐Maturi
Institution:1. Department of Industrial Engineering, Atilim University, Ankara, Turkey;2. Department of Mathematical Sciences, Durham University, Durham, United Kingdom;3. Durham University Business School, Durham University, Durham, United Kingdom
Abstract:Mean residual life is a useful dynamic characteristic to study reliability of a system. It has been widely considered in the literature not only for single unit systems but also for coherent systems. This article is concerned with the study of mean residual life for a coherent system that consists of multiple types of dependent components. In particular, the survival signature based generalized mixture representation is obtained for the survival function of a coherent system and it is used to evaluate the mean residual life function. Furthermore, two mean residual life functions under different conditional events on components’ lifetimes are also defined and studied.
Keywords:dependence  mean residual life  minimal survival signature  reliability  survival signature
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