Abstract
The main contribution of this paper consists in providing different ways to value importance measures for components in a given reliability system or in an electronic circuit. The main tool used is a certain type of semivalues and probabilistic values. One of the results given here extends the indices given by Birnbaum [3] and Barlow and Proschan [2], which respectively coincide with the Banzhaf [1] and the Shapley and Shubik [15] indices so well-known in game theory.
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Freixas, J., Puente, M.A. Reliability Importance Measures of the Components in a System Based on Semivalues and Probabilistic Values. Annals of Operations Research 109, 331–342 (2002). https://doi.org/10.1023/A:1016368606348
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DOI: https://doi.org/10.1023/A:1016368606348