Computational algebraic algorithms for the reliability of generalized k-out-of-n and related systems
- Sáenz-De-Cabezón, E. 2
- Wynn, H.P. 1
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1
London School of Economics and Political Science
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2
Universidad de La Rioja
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ISSN: 0378-4754
Année de publication: 2011
Volumen: 82
Número: 1
Pages: 68-78
Type: Article
D'autres publications dans: Mathematics and Computers in Simulation
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Résumé
Identities and bounds for the reliability of coherent systems are analysed and computed using the techniques of commutative algebra. The techniques are applied to the analysis of some of the most relevant k-out-of-n class systems. The efficiency of the algebraic approach in obtaining exact identities, bounds and asymptotic formulas shows good performance when compared with results from the literature. The papers points to some new applications of these techniques that emphasize the connection of algebra and probability in this context. © 2010 IMACS. Published by Elsevier B.V. All rights reserved.