Hilbert functions in design for reliability

  1. Sáenz-De-Cabezón, E. 2
  2. Wynn, H. P. 1
  1. 1 London School of Economics and Political Science
    info

    London School of Economics and Political Science

    Londres, Reino Unido

    ROR https://ror.org/0090zs177

  2. 2 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

Revista:
IEEE Transactions on Reliability

ISSN: 0018-9529

Any de publicació: 2015

Volum: 64

Número: 1

Pàgines: 83-93

Tipus: Article

DOI: 10.1109/TR.2014.2354173 SCOPUS: 2-s2.0-85027955217 WoS: WOS:000350865900009 GOOGLE SCHOLAR

Altres publicacions en: IEEE Transactions on Reliability

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Resum

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. © 2014 IEEE.