RT journal article
T1 Relationships between importance measures and redundancy in systems with dependent components
A1 Navarro, Jorge
A1 Fernández-Martínez, Pedro
A1 Fernández-Sánchez, Juan
A1 Arriaza Gómez, Antonio Jesús
A2 Estadística e Investigación Operativa
K1 coherent systems
K1 copula
K1 distorted distributions
K1 importance measures
K1 redundancy
AB 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.
PB Cambridge University Press
SN 1469-8951
YR 2020
FD 2020
LK http://hdl.handle.net/10498/33394
UL http://hdl.handle.net/10498/33394
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 21-sep-2026