## Abstract As a generalization of __k__βoutβofβ__n__:F and consecutive __k__βoutβofβ__n__:F systems, the consecutive __k__βwithinβ__m__βoutβofβ__n__:F system consists of __n__ linearly ordered components such that the system fails iff there are __m__ consecutive components which include among them
Repairable consecutive-k-out-of-n: F system with Markov dependence
β 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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β¦ 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.
π SIMILAR VOLUMES
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