Dynamic reliability evaluation of consecutive-k-within-m-Out-of-n:F system

Serkan Eryilmaz*, Cihangir Kan

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

12 Citations (Scopus)


A consecutive k-within-m-out-of-n:F system consists of n linearly ordered components and fails if and only if there are m consecutive components which include among them at least k failed components. This system model generalizes both consecutive k-out-of-n:F and k-out-of-n:F systems. In this article, we study the dynamic reliability properties of consecutive k-within-m-out-of-n:F system consisting of exchangeable dependent components. We also obtain some stochastic ordering results and use them to get simple approximation formulae for the survival function and mean time to failure of this system.

Original languageEnglish
Pages (from-to)58-71
Number of pages14
JournalCommunications in Statistics: Simulation and Computation
Issue number1
Publication statusPublished - 2010
Externally publishedYes


  • Consecutive k-out-of-n:F system
  • Consecutive k-within-m-out-of-n:F system
  • Exchangeable lifetimes
  • Failure rate
  • Mean residual life
  • Mixtures
  • Signature
  • Stochastic ordering


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