Weak aging properties for coherent systems with statistically dependent component lifetimes

Chen Li, Xiaohu Li

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

Abstract

As a relevant topic in reliability theory, the preservation of aging properties under the formation of various coherent structures contributes to improving system performance through better structure design and more effective system maintenance. The classical research in this line usually focuses upon coherent systems with independent component lifetimes. Recently, some authors discussed the preservation of IFR, NBU, and DMRL in the setting of dependent component lifetimes. This paper further investigates sufficient conditions for coherent systems with dependent component lifetimes to preserve aging properties including NBUC, NBU (2), DMRL, and their dual versions. Some examples are presented to illustrate coherent structures and typical copula functions fulfilling the present sufficient conditions as well.

Original languageEnglish
Pages (from-to)559-572
Number of pages14
JournalNaval Research Logistics
Volume67
Issue number7
DOIs
StatePublished - 1 Oct 2020

Keywords

  • DMRL
  • NBUC
  • copula function
  • domination function
  • increasing convex order
  • structure function
  • submultiplicative

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