Aging properties of the residual life length of k-out-of-n systems with independent but non-identical components

Xiaohu Li, Jing Chen

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Abstract

The k-out-of-n structure is a very popular type of redundancy in fault-tolerant systems, it has founded wide applications in industrial and military systems during the past several decades. This paper will investigate the residual life length of a k-out-of-n system with independent (not necessarily identical) components, given that the (n - k)th failure has occurred at time t≥0. Behaviour of PF2, IFR, DRHR, DMRL, NBU(2) and NBUC classes of life distributions are derived in terms of the monotonicity of the residual life given the time of the (n - k)th failure.

Original languageEnglish
Pages (from-to)143-153
Number of pages11
JournalApplied Stochastic Models in Business and Industry
Volume20
Issue number2
DOIs
StatePublished - Apr 2004

Keywords

  • DMRL
  • IFR
  • Increasing concave order
  • Increasing convex order
  • NBU
  • NBU(2)
  • NBUC
  • PF2
  • Residual life
  • Right spread order

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