%0 Journal Article 
%A Navarro, Jorge
%A Fernández-Martínez, Pedro
%A Fernández-Sánchez, Juan
%A Arriaza Gómez, Antonio Jesús
%T Relationships between importance measures and redundancy in systems with dependent components
%D 2020
%@ 1469-8951

%U http://hdl.handle.net/10498/33394
%X 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.
%K coherent systems
%K copula
%K distorted distributions
%K importance measures
%K redundancy
%~ Universidad de Cádiz