Types of signature analysis in reliability based on Hilbert series - Inria - Institut national de recherche en sciences et technologies du numérique Accéder directement au contenu
Communication Dans Un Congrès Année : 2015

Types of signature analysis in reliability based on Hilbert series

Résumé

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 series of monomial ideals, this is not enough to understand in a deeper sense the ideal structure features that reflect the behavior of the system under multiple simultaneous failures and signature. Therefore, we introduce the lcm-filtration of a monomial ideal, and we study the Hilbert series and resolutions of the corresponding ideals. Given a monomial ideal, we explicitly compute the resolutions for all ideals in the associated lcm-filtration, and we apply this to study coherent systems. Some computational results are shown in examples to demonstrate the usefulness of this approach and the computational issues that arise. We also study the failure distribution from a statistical point of view by means of the algebraic tools described.

Dates et versions

hal-01350785 , version 1 (01-08-2016)

Identifiants

Citer

Fatemeh Mohammadi, Eduardo Sáenz-De-Cabezón, Henry P. Wynn. Types of signature analysis in reliability based on Hilbert series. MEGA'2015 (Special Issue), Jun 2015, Trento, Italy. ⟨hal-01350785⟩

Collections

MEGA MEGA2015
57 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More