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Betti numbers and minimal free resolutions for multi-state system reliability bounds

Sáenz-de-Cabezón, Eduardo and Wynn, Henry P. (2009) Betti numbers and minimal free resolutions for multi-state system reliability bounds. Journal of Symbolic Computation, 44 (9). pp. 1311-1325. ISSN 0747-7171

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Abstract

Every coherent system has a monomial ideal associated with it and the knowledge of its multigraded Betti numbers provides reliability bounds for the corresponding system, which are the tightest among a certain class of such bounds. Some alternative methods for computing the multigraded Betti numbers are used in this paper and applied in the study of reliability. We obtain special results for well known examples and show that computational commutative algebra techniques can be used beneficially in the reliability analysis of systems of different types.

Item Type: Article
Official URL: http://www.sciencedirect.com/science/journal/07477...
Additional Information: © 2009 Elsevier
Library of Congress subject classification: H Social Sciences > HA Statistics
Sets: Research centres and groups > Decision Support and Risk Group (DSRG)
Rights: http://www.lse.ac.uk/library/usingTheLibrary/academicSupport/OA/depositYourResearch.aspx
Date Deposited: 06 Apr 2011 13:50
URL: http://eprints.lse.ac.uk/30275/

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