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Grobner bases, abstract tubes, and inclusion-exclusion reliability bounds

Giglio, Beatrice, Naiman, D.Q. and Wynn, Henry P. (2002) Grobner bases, abstract tubes, and inclusion-exclusion reliability bounds. IEEE Transactions on Reliability, 51 (3). pp. 358-366. ISSN 0018-9529

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Abstract

There is a close mathematical relationship between integer grids of a particular echelon form and coherent systems in reliability in the case of states coded as integer grid points. This paper shows that such an integer representation is the link between abstract tube theory, which gives improved inclusion-exclusion bounds, and an algebraic method, Grobner bases, based on the polynomial ideal of the failure event

Item Type: Article
Official URL: http://rs.ieee.org/transactions-on-reliability.htm...
Additional Information: © 2002 IEEE
Library of Congress subject classification: Q Science > QA Mathematics
Sets: Research centres and groups > Centre for the Analysis of Time Series (CATS)
Research centres and groups > Decision Support and Risk Group (DSRG)
Rights: http://www.lse.ac.uk/library/usingTheLibrary/academicSupport/OA/depositYourResearch.aspx
Date Deposited: 05 Mar 2014 11:01
URL: http://eprints.lse.ac.uk/55996/

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