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

11 Apr 2020 Pascual-Ortigosa Patricia Sáenz-de-Cabezón Eduardo Wynn Henry P.

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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Categories


  • COMMUTATIVE ALGEBRA
  • COMBINATORICS