On allocating one active redundancy to coherent systems with dependent and heterogeneous components' lifetimes

On allocating one active redundancy to coherent systems with dependent and heterogeneous components' lifetimes

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Article ID: iaor20162888
Volume: 63
Issue: 4
Start Page Number: 335
End Page Number: 345
Publication Date: Jun 2016
Journal: Naval Research Logistics (NRL)
Authors: ,
Keywords: simulation, allocation: resources, combinatorial optimization
Abstract:

This article studies coherent systems of heterogenous and statistically dependent components' lifetimes. We present a sufficient and necessary condition for a stochastically longer system lifetime resulted by allocating a single active redundancy. For exchangeable components' lifetimes, allocating the redundancy to the component with more minimal path sets is proved to produce a more reliable system, and for systems with stochastic arrangement increasing components' lifetimes and symmetric structure with respect to two components, allocating the redundancy to the weaker one brings forth a larger reliability. Several numerical examples are presented to illustrate the theoretical results as well. 2016 Wiley Periodicals, Inc. Naval Research Logistics 63: 335–345, 2016

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