Computational algebraic algorithms for the reliability of generalized k-out-of-n and related systems

  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:
Mathematics and Computers in Simulation

ISSN: 0378-4754

Año de publicación: 2011

Volumen: 82

Número: 1

Páginas: 68-78

Tipo: Artículo

DOI: 10.1016/J.MATCOM.2010.07.028 SCOPUS: 2-s2.0-80054708500 WoS: WOS:000297091800007 GOOGLE SCHOLAR

Otras publicaciones en: Mathematics and Computers in Simulation

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Resumen

Identities and bounds for the reliability of coherent systems are analysed and computed using the techniques of commutative algebra. The techniques are applied to the analysis of some of the most relevant k-out-of-n class systems. The efficiency of the algebraic approach in obtaining exact identities, bounds and asymptotic formulas shows good performance when compared with results from the literature. The papers points to some new applications of these techniques that emphasize the connection of algebra and probability in this context. © 2010 IMACS. Published by Elsevier B.V. All rights reserved.