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

Rui Fang, Xiaohu Li

Research output: Contribution to journalArticlepeer-review

20 Scopus citations

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.

Original languageEnglish
Pages (from-to)335-345
Number of pages11
JournalNaval Research Logistics
Volume63
Issue number4
DOIs
StatePublished - 1 Jun 2016

Keywords

  • copula
  • exchangeable
  • minimal path
  • series-parallel system
  • stochastic arrangement increasing

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