Some aging properties of the residual life of k-out-of-n systems

Xiaohu Li, Peng Zhao

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62 Scopus citations

Abstract

The k-out-of-n structure is a very popular type of redundancy in fault-tolerant systems. It has been applied in industrial, and military systems. In this paper, we investigate the general residual life (GRL) of a (n-k+1)-out-of-n system with i.i.d. components, given that the total number of the failures of components is less than l - 1(1 ≤ l < k ≤ n) at time t ≥ 0. It is shown that the GRL is decreasing in I in terms of the likelihood ratio order; Behavior of IFR, and NBU of life distributions arc discussed in terms of the monotonicity of GRL. Finally, comparison of the GRL of two (n - k + 1)-out-of-n systems are conducted given that the lifetime of their components arc assumed to be ordered in the hazard rate order.

Original languageEnglish
Pages (from-to)535-541
Number of pages7
JournalIEEE Transactions on Reliability
Volume55
Issue number3
DOIs
StatePublished - Sep 2006

Keywords

  • Hazard rate order
  • Increasing failure rate
  • Likelihood ratio order
  • New better than used
  • Stochastic order

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