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
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) |
| Date Deposited: | 05 Mar 2014 11:01 |
| URL: | http://eprints.lse.ac.uk/55996/ |
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