Optimal allocation policy of one redundancy in a n-component series system

Peng Zhao*, Yiying Zhang, Jianbin Chen

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

34 Citations (Scopus)

Abstract

It is of great importance to optimize system performance by allocating redundancies in a coherent system in reliability engineering and system security. In this paper, we focus on the problem of how to optimally allocate one active [standby] redundancy in a n-component series system in the sense of stochastic ordering. For the active case, it is showed that allocating the redundancy to the relatively weaker component leads to longer system's lifetime in the likelihood ratio and reversed hazard rate orders, respectively. For the standby case, we show that the redundancy should be allocated to the weakest component of the series system in the likelihood ratio order. Based on these results, two optimal allocation policies are proposed. Also, some numerical examples are presented to explicate the theoretic results established here.

Original languageEnglish
Pages (from-to)656-668
Number of pages13
JournalEuropean Journal of Operational Research
Volume257
Issue number2
DOIs
Publication statusPublished - 1 Mar 2017
Externally publishedYes

Keywords

  • Active redundancy
  • Optimal allocation
  • Proportional hazard rates model
  • Series system
  • Standby redundancy
  • Stochastic orders

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