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

Yeh Lam and Yuan Lin Zhang

Naval Research Logistics (NRL), 2000, vol. 47, issue 1, 18-39

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

Date: 2000
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https://doi.org/10.1002/(SICI)1520-6750(200002)47:13.0.CO;2-B

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