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

✍ Scribed by Yeh Lam; Yuan Lin Zhang


Publisher
John Wiley and Sons
Year
2000
Tongue
English
Weight
195 KB
Volume
47
Category
Article
ISSN
0894-069X

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✦ Synopsis


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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Consider a 2-dimensional consecutive-k-out-of-n : F system, as described by Salvia and Lasher [9], whose components have independent, perhaps identical, failure probabilities. In this paper, we use Janson's exponential inequalities to derive improved upper bounds on such a system's reliability, and