New algorithm to reduce the number of computing steps in reliability formula of weightedkoutofn system
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Authors
Higashiyama, Yoichi
Ohkura, T.
Rumchev, Ventseslav
Date
2007Type
Journal Article
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In the disjoint products version of reliability analysis of weighted–k–out–of–n systems, it is necessary to determine the order in which the weight of components is to be considered. The k–out–of–n:G(F) system consists of n components; each component has its own probability and positive integer weight such that the system is operational (failed) if and only if the total weight of some operational (failure) components is at least k. This paper designs a method to compute the reliability in O(nk) computing time and in O(nk) memory space. The proposed method expresses the system reliability in fewer product terms than those already published.
Citation
Higashiyama, Yoichi and Ohkura, Tatsunari and Rumchev, Ventseslav. 2007. New algorithm to reduce the number of computing steps in reliability formula of weightedkoutofn system. Journal of Systemics, Cybernetics and Informatics 5: pp. 6871.
Source Title
Journal of Systemics, Cybernetics and Informatics
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Faculty
School of Science and Computing
Department of Mathematics and Statistics
Faculty of Science and Engineering
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