Reliability Modeling on Consecutive-kr-out-of-nr:F Linear Zigzag Structure and Circular Polygon Structure

Cong Lin, Lirong Cui, David W. Coit, Min Lv

Research output: Contribution to journalArticlepeer-review

24 Scopus citations


We propose the consecutive-kr-out-of-nr:F linear zigzag structure and circular polygon structure, which extend the consecutive-k-out-of-n:F system model. By employing the finite Markov chain imbedding approach, we have proven the equations for calculating the reliability of consecutive-k-out-of-n:F system with different patterns given the state of the first and(or) the last component(s). Based on those reliability equations, we provide the rules for obtaining the reliability of the linear zigzag structure and circular polygon structure. Numerical examples are presented as an illustration of our new system model and demonstrate the use of the equations and rules proposed in this paper.

Original languageEnglish (US)
Article number7488997
Pages (from-to)1509-1521
Number of pages13
JournalIEEE Transactions on Reliability
Issue number3
StatePublished - Sep 2016

All Science Journal Classification (ASJC) codes

  • Safety, Risk, Reliability and Quality
  • Electrical and Electronic Engineering


  • Birnbaum importance
  • circular polygon structure
  • consecutive-k-out-of-n:F system
  • finite Markov chain imbedding approach (FMCIA)
  • joint reliability importance (JRI)
  • linear zigzag structure

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