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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 NavarroOpen 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: jorgenav@um.es
Pedro Fernández-Martínez
Affiliation:
Universidad de Murcia, Murcia, Spain E-mail: jorgenav@um.es
Juan Fernández-Sánchez
Affiliation:
Universidad de Almería, Almería, Spain
Antonio Arriaza
Affiliation:
Universidad de Cádiz, Cádiz, Spain
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Abstract

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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

Information

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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