Journal
MATHEMATICS AND COMPUTERS IN SIMULATION
Volume 82, Issue 1, Pages 68-78Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.matcom.2010.07.028
Keywords
System reliabilty; k-out-of-n Systems; Monomial ideals; Minimal free resolutions
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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. (C) 2010 IMACS. Published by Elsevier B.V. All rights reserved.
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