Allocating redundancies to k-out-of-n systems with independent and heterogeneous components

Jinsen Zhuang, Xiaohu Li

Research output: Contribution to journalArticlepeer-review

21 Scopus citations

Abstract

This paper studies the allocation of independent redundancies with a common life distribution to k-out-of-n systems of independent components with non identical life distributions. A sufficient condition is found for allocating more active redundancies to the weaker component to gain a larger lifetime for k-out-of-n systems, and assigning more standby redundancies to the weaker (stronger) components is proved to yield larger lifetime for series (parallel) systems in the sense of the increasing concave (convex) order. Also, the optimal policy is proved to be majorized by all other policies when the systems components are stochastically ordered.

Original languageEnglish
Pages (from-to)5109-5119
Number of pages11
JournalCommunications in Statistics - Theory and Methods
Volume44
Issue number24
DOIs
StatePublished - 17 Dec 2015

Keywords

  • Active redundancy
  • Majorization
  • Standby redundancy
  • Stochastic order

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