On Birnbaum type joint importance measures for multistate reliability systems

V. M. Chacko

Communications in Statistics - Theory and Methods, 2023, vol. 52, issue 9, 2799-2818

Abstract: Importance and joint importance measures in reliability engineering are used to identify the weak areas of a system and signify the roles of components in either causing or contributing to proper functioning of the system. This paper introduces, for two multistate components, Joint Birnbaum-Reliability Achievement Worth (JBRAW), Joint Birnbaum-Reliability Reduction Worth (JBRRW), Joint Birnbaum-Reliability Fussell-Vesely measure (JBRFV) and analogues joint risk importance measures for the multistate system. A steady state performance level distribution with restriction to the component’s states is used to obtain the introduced measures. Universal generating function (UGF) technique is applied for the evaluation of proposed joint importance measures. An illustrative example is provided.

Date: 2023
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DOI: 10.1080/03610926.2021.1961000

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