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Reliability for a System with Dependent Components
Published online by Cambridge University Press: 27 July 2009
Abstract
A general type of model that results in components having a negative type of dependence is proposed. Specifically, a system of dependent binary components, in which component i is said to function if at least one of a given number of multinomial trials results in that outcome, is considered. The multinomial probabilities that maximize the probability of a k-of-n system are determined. Some approximations for the system reliability are proposed first for a system that functions unless k consecutive components are failed and then for a general system. A simulation method that uses a variance reduction technique to estimate the reliability is presented.
- Type
- Research Article
- Information
- Probability in the Engineering and Informational Sciences , Volume 9 , Issue 1 , January 1995 , pp. 59 - 63
- Copyright
- Copyright © Cambridge University Press 1995
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