Introduction to Importance Measures in Reliability |
Published date:2014-12-03 Provided by:School of Science |
Title: Introduction to Importance Measures in Reliability Guest Speaker: Dr. Xiaoyan Zhu (University of Chinese Academy of Sciences) Time: 2014-12-05 (Friday), 10:00 - 11:30 Abstract We give an introduction to importance measures in reliability, especially the widely-used Birnbaum importance and joint reliability importance. The Birnbaum importance evaluates the relative contribution of a component to system reliability. We discuss the relations of other importance measures to the Birnbaum importance and the patterns of the Birnbaum importance for linear consecutive-k-out-of-n systems when all components have the same reliability p. Then, we present the heuristics such as the generic algorithm in conjunction of the Birnbaum importance for addressing the component assignment problem, which concerns the problem of finding the optimal arrangement of n available components in the n positions of a system so that the system reliability is maximized. The joint reliability importance of two components evaluates the interaction effect between the components on contributing to system reliability. For the joint reliability importance, we present its applications in consecutive-k-out-of-n:F system, an m-consecutive-k-out-of-n:F system, and a consecutive-k-within-m-out-of-n:F system for Markov-dependent components. Previous:Bounded homogeneity of finite graphs
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