Details:
| Title | Grobner bases, abstract tubes, and inclusion-exclusion reliability bounds | | Author(s) | Beatrice Giglio, Daniel Q. Naiman, Henry P. Wynn | | Type | Article in Journal | | 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. | | Keywords | Linear algebra; Algorithms; Polynomials; Probability; Statistical methods; Set theory; Failure analysis |
| Language | English | | Journal | IEEE Transactions on Reliability | | Volume | 51 | | Number | 3 | | Pages | 358-366 | | Year | 2002 | | Month | September | | Translation |
No | | Refereed |
No |
|
