Consecutive κ-Within-m-Out-of-n:F system with exchangeable Components

Serkan Eryilmaz*, Cihangir Kan, Fatih Akici

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

35 Citations (Scopus)

Abstract

As a generalization of k-out-of-n:F and consecutive k-out-of-n:F systems, the consecutive k-within-m-out-of-n:F system consists of n linearly ordered components such that the system fails iff there are m consecutive components which include among them at least k failed components. In this article, the reliability properties of consecutive k-within-m-out-of-n:F systems with exchangeable components are studied. The bounds and approximations for the survival function are provided. A Monte Carlo estimator of system signature is obtained and used to approximate survival function. The results are illustrated and numerics are provided for an exchangeable multivariate Pareto distribution.

Original languageEnglish
Pages (from-to)503-510
Number of pages8
JournalNaval Research Logistics
Volume56
Issue number6
DOIs
Publication statusPublished - Sept 2009
Externally publishedYes

Keywords

  • Exchangeable lifetimes
  • Meantime to failure
  • Monte Carlo simulation
  • Moving order statistics
  • Multivariate Pareto distribution
  • Samaniego's signature

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