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Grobner bases, abstract tubes, and inclusion-exclusion reliability bounds
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UNSPECIFIED. (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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Official URL: http://dx.doi.org/10.1109/TR.2002.802890
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: | Journal Article |
|---|---|
| Subjects: | Q Science > QA Mathematics > QA76 Electronic computers. Computer science. Computer software T Technology > TK Electrical engineering. Electronics Nuclear engineering |
| Journal or Publication Title: | IEEE TRANSACTIONS ON RELIABILITY |
| Publisher: | IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC |
| ISSN: | 0018-9529 |
| Date: | September 2002 |
| Volume: | 51 |
| Number: | 3 |
| Number of Pages: | 9 |
| Page Range: | pp. 358-366 |
| Identification Number: | 10.1109/TR.2002.802890 |
| Publication Status: | Published |
| URI: | http://wrap.warwick.ac.uk/id/eprint/10603 |
Data sourced from Thomson Reuters' Web of Knowledge
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