Stochastic comparison on load-sharing systems with one statistically dependent redundancy

Chen Li, Rui Fang, Xiaohu Li

Research output: Contribution to journalArticlepeer-review

Abstract

In this article, we study a load-sharing redundancy system in the presence of statistical dependence between base and redundancy component lifetimes when they are under partial workload. We derive the system reliability function in terms of reliability functions and the copula function of the base and redundancy component lifetimes. Further, in the setting of some aging properties, the base component and absolute continuous copula, we develop the hazard rate order, the reversed hazard rate order, and the likelihood ratio order between the system lifetime and the base component lifetimes. Two typical scenarios with independence between the base and redundancy component lifetimes are discussed in particular. Several numerical examples are presented to illustrate the theoretical findings as well.

Original languageEnglish
Pages (from-to)1143-1156
Number of pages14
JournalApplied Stochastic Models in Business and Industry
Volume37
Issue number6
DOIs
StatePublished - 1 Nov 2021

Keywords

  • DRHR
  • IHR
  • copula
  • hazard rate order
  • likelihood ratio order
  • proportional hazards
  • reversed hazard rate order

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