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

Eduardo Sáenz-de-Cabezón and Henry P. Wynn

Mathematics and Computers in Simulation (MATCOM), 2011, vol. 82, issue 1, 68-78

Abstract: 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.

Keywords: System reliabilty; k-out-of-n Systems; Monomial ideals; Minimal free resolutions (search for similar items in EconPapers)
Date: 2011
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:82:y:2011:i:1:p:68-78

DOI: 10.1016/j.matcom.2010.07.028

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