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Hilbert functions in design for reliability

Saenz-de-Cabezon, Eduardo and Wynn, Henry P. ORCID: 0000-0002-6448-1080 (2015) Hilbert functions in design for reliability. IEEE Transactions on Reliability, 64 (1). pp. 83-93. ISSN 0018-9529

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Identification Number: 10.1109/TR.2014.2354173


The algebraic approach to the analysis of system reliability associates an algebraic object, a monomial ideal, to a coherent system (CS), and studies the reliability of the system using the Hilbert series of the monomial ideal. New capabilities of the algebraic method in system design are shown, in particular related to enumeration of working states. The algebraic method should be a useful tool in reliability, both for performing different computations on system features, and to study the structure of systems.

Item Type: Article
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Additional Information: © 2015 IEEE
Divisions: LSE
Subjects: Q Science > QA Mathematics
Date Deposited: 21 Oct 2014 13:22
Last Modified: 16 May 2024 02:00

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