Publication: Birnbaum importance measure for reliability systems with dependent components
Authors
Miziula, P ; Navarro, J.
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Publisher
Institute of Electrical and Electronics Engineers
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DOI
10.1109/TR.2019.2895400.
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info:eu-repo/semantics/article
Description
© 2019
This document is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/
This document is the accepted version of a published work that appeared in final form in IEEE Transactions on Reliability
Abstract
Component importance measures are relevant to improve
the system design and to develop optimal replacement policies.
Birnbaum’s importance measure is one of the most relevant
measures. If the components are (stochastically) independent, this
measure can be defined using several equivalent expressions. However,
in many practical situations, the independence assumption is
unrealistic. It also turns out that in the case of dependent components,
different Birnbaum’s measure definitions lead to different
concepts. In this paper,we extend Birnbaum’s importance measure
to the case of dependent components in a way allowing us to obtain
relevant properties including connections and comparisons with
other measures proposed and studied recently. The dependence is
modeled through copulas and the new measure is based on the
contribution of the component to the system reliability.
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Citation
IEEE Transactions on Reliability 68, Issue: 2 pp.:439--450.
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