Please use this identifier to cite or link to this item: http://hdl.handle.net/10553/44521
Title: A new method for ordering binary states probabilities in reliability and risk analysis
Authors: González, Luis 
UNESCO Clasification: 12 Matemáticas
Keywords: Risk Analysis
Boolean Function
Occurrence Probability
Elementary State
Boolean Variable
Issue Date: 2002
Journal: Lecture Notes in Computer Science 
Conference: International Conference on Computational Science 
International Conference on Computational Science, ICCS 2002 
Abstract: A new method is proposed to select the binary n-tuples of 0s and 1s by decreasing order of there occurrence probabilities in stochastic Boolean models. This method can be applied to evaluate fault trees in Reliability Engineering and Risk Analysis, as well as to many other problems described by a stochastic Boolean structure. The selecting criterion is exclusively based on the positions of 0s and 1s in the binary n-tuples. In this way, the computational cost in sorting algorithms is drastically reduced, because the proposed criterion is independent of the probabilities of the Boolean variables. Every step, the algorithm extends the set of selected binary states, obtaining the binary n-tuples just by adding 0 (1) at the end of all the (some) previously selected binary n — 1-tuples.
URI: http://hdl.handle.net/10553/44521
ISBN: 978-3-540-43591-4
3540435913
ISSN: 0302-9743
DOI: 10.1007/3-540-46043-8_13
Source: Sloot P.M.A., Hoekstra A.G., Tan C.J.K., Dongarra J.J. (eds) Computational Science — ICCS 2002. ICCS 2002. Lecture Notes in Computer Science, vol 2329. Springer, Berlin, Heidelberg
Appears in Collections:Actas de congresos
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