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Repairable consecutive‐k‐out‐of‐n: F system with Markov dependence

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  • Yeh Lam
  • Yuan Lin Zhang

Abstract

In this article, a model for a repairable consecutive‐k‐out‐of‐n: F system with Markov dependence is studied. A binary vector is used to represent the system state. The failure rate of a component in the system depends on the state of the preceding component. The failure risk of a system state is then introduced. On the basis of the failure risk, a priority repair rule is adopted. Then the transition density matrix can be determined, and the analysis of the system reliability can be conducted accordingly. One example each of a linear and a circular system is then studied in detail to explain the model and methodology developed in this paper. © 2000 John Wiley & Sons, Inc. Naval Research Logistics 47: 18–39, 2000

Suggested Citation

  • Yeh Lam & Yuan Lin Zhang, 2000. "Repairable consecutive‐k‐out‐of‐n: F system with Markov dependence," Naval Research Logistics (NRL), John Wiley & Sons, vol. 47(1), pages 18-39, February.
    • Handle: RePEc:wly:navres:v:47:y:2000:i:1:p:18-39
    DOI: 10.1002/(SICI)1520-6750(200002)47:13.0.CO;2-B
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    References listed on IDEAS

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    1. Stavros Papastavridis & Markos Koutras, 1992. "Consecutive k-out-of-n systems with maintenance," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 44(4), pages 605-612, December.
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    Cited by:

    1. Tomoaki Akiba & Hisashi Yamamoto, 2001. "Reliability of a 2‐dimensional k‐within‐consecutive‐r × s‐out‐of‐m × n:F system," Naval Research Logistics (NRL), John Wiley & Sons, vol. 48(7), pages 625-637, October.

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