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

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

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Article ID: iaor20002656
Country: United States
Volume: 47
Issue: 1
Start Page Number: 18
End Page Number: 39
Publication Date: Feb 2000
Journal: Naval Research Logistics
Authors: ,
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.

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