Computing Birnbaum and Barlow-Proschan importance measures using system signature

Femin Yalcin and Ceki Franko

Communications in Statistics - Theory and Methods, 2022, vol. 51, issue 23, 8446-8457

Abstract: Component importance measures are widely used in engineering and reliability analysis in testing the safety of running systems. There are several component importance measures to realize which components in a coherent system play a more important role than the others. The most common ones belong to Birnbaum and Barlow & Proschan. In this paper a new method, based on the number of path sets with exactly i working components such that the component at sth place functions, has been proposed to evaluate these two measures for all types of systems appearing in the literature.

Date: 2022
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DOI: 10.1080/03610926.2021.1986536

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