16 citations · 57 across the 25 of their papers we have counts for
3 papers · 1 filter
Algebraic reliability of multi-state -out-of- systems
Patricia Pascual-Ortigosa, Eduardo Sáenz-de-Cabezón, Henry P. Wynn
In this paper we review different definitions that multi-state -out-of- systems have received along the literature and study them in a unified way using the algebra of monomi…
Polarization and depolarization of monomial ideals with application to multistate system reliability
Fatemeh Mohammadi, Patricia Pascual-Ortigosa, Eduardo Sáenz-de-Cabezón +1
We study the family of depolarizations of a squarefree monomial ideal , i.e. all monomial ideals whose polarization is . We describe a method to find all depolarizations of $…
Types of signature analysis in reliability based on Hilbert series
Fatemeh Mohammadi, Eduardo Sáenz-de-Cabezón, Henry P. Wynn
The present paper studies multiple failure and signature analysis of coherent systems using the theory of monomial ideals. While system reliability has been studied using Hilbert s…