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RELATIONSHIPS BETWEEN IMPORTANCE MEASURES AND REDUNDANCY IN SYSTEMS WITH DEPENDENT COMPONENTS

Published online by Cambridge University Press:  17 May 2019

Jorge Navarro Open the ORCID record for Jorge Navarro [Opens in a new window] ,
Pedro Fernández-Martínez ,
Juan Fernández-Sánchez  and
Antonio Arriaza
Jorge Navarro
Affiliation:
Universidad de Murcia, Murcia, Spain E-mail: [email protected]
Pedro Fernández-Martínez
Affiliation:
Universidad de Murcia, Murcia, Spain E-mail: [email protected]
Juan Fernández-Sánchez
Affiliation:
Universidad de Almería, Almería, Spain
Antonio Arriaza
Affiliation:
Universidad de Cádiz, Cádiz, Spain
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Abstract

The paper shows the connections between some importance indices for the components in an engineering coherent system and the performance of the system obtained when a redundancy mechanism is applied to a specific component. A copula approach is used to model the dependency among the components. This approach includes the popular case of independent components. Under some assumptions, it is proved that if component i is more important than component j, then the system obtained by applying a redundancy procedure to the ith component is better, under different stochastic criteria, than that obtained with the jth component. These results can be applied to several redundancy mechanisms. A new importance index is defined to study active redundancies. Some illustrative examples are provided.

Keywords

coherent systemscopuladistorted distributionsimportance measuresredundancy
Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 34 , Issue 4 , October 2020 , pp. 583 - 604
Copyright
Copyright © Cambridge University Press 2019

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