Computing Marginal and Joint Birnbaum, and Barlow-Proschan Importances in Weighted-<i>k</I>-out-of-<i>n< Systems
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Date
2014
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Pergamon-elsevier Science Ltd
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Abstract
A weighted-k-out-of-n:G system is a system that consists of n binary components, each with its own positive weight, and operates only when the total weight of working components is at least k. Such a structure is useful when the components have different contributions to the performance of the entire system. This paper is concerned with both marginal and joint Birnbaum, and Barlow-Proschan (BP) importances of the components in weighted- k-out-of-n:G systems. The method of universal generating function is used for computing marginal and joint Birnbaum importances. The method for computing BP-importance is based on a direct probabilistic approach. Extensive numerical calculations are presented. By the help of these calculations and illustrations, it is possible to observe how the marginal and joint importances change with respect to the weights of components. (C) 2014 Elsevier Ltd. All rights reserved.
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Eryilmaz, Serkan/0000-0002-2108-1781
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Keywords
Universal generating function, Reliability importance, Weighted-k-out-of-n:G system
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Volume
72
Issue
Start Page
255
End Page
260