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Hilbert Functions in Design for Reliability

descriptionPublicationkeyboard_double_arrow_right Article 01 Mar 2015Publisher:Institute of Electrical and Electronics Engineers (IEEE)Journal:IEEE Transactions on Reliability, volume 64, pages 83-93 (issn: 0018-9529, eissn: 1558-1721,

Authors: Eduardo Sáenz-de-Cabezón; Henry P. Wynn;

doi: 10.1109/tr.2014.2354173

Hilbert Functions in Design for Reliability

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Abstract

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.

Related Organizations

London School of Economics and Political Science
United Kingdom
University of La Rioja
Spain

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	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Top 10%
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Top 10%