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arXiv · 2002.08823

Algebraic reliability of multi-state $k$-out-of-$n$ systems

Patricia Pascual-Ortigosa·Eduardo Sáenz-de-Cabezón·Henry P. Wynn
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Abstract

In this paper we review different definitions that multi-state $k$-out-of-$n$ systems have received along the literature and study them in a unified way using the algebra of monomial ideals. We thus obtain formulas and algorithms to compute their reliability and bounds for it.

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Patricia Pascual-Ortigosa, Eduardo Sáenz-de-Cabezón, Henry P. Wynn. 2020-04-11. Algebraic reliability of multi-state $k$-out-of-$n$ systems. https://arxiv.org/abs/2002.08823

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