Algorithme pour de nouvelles bornes de la fiabilité des systèmes (h,k)-contigus-sur-(m,n)

Zineb Azouz (1)

1 Université de Constantine

(h; k)-contiguous-sur-(m; n) systems consist in rectangular sheets of components, of size m.n, such that the system fails i all components in a sub-rectangle of size h. k are failing. In [2] has been given the computation of a lower bound for the reliability for such systems, in case of square sheets. We use a method presented in [1] to propose lower bounds, which, in case of square sheets, are better than these in [2]. For this purpose we rely on an algorithm, called \consecutive columns algorithm", of exact computation of reliability, un- der the additive condition n <= 2k.

Mots clés: algorithme des colonnes consécutives; Plaques bidimensionnelles; minorant de la fiabilité; contigus; algorithme des colonnes consécutives.

Domaines: Statistiques [math.ST]; Théorie [stat.TH]

Zineb Azouz. Algorithme pour de nouvelles bornes de la fiabilité des systèmes (h,k)-contigus-sur-(m,n). 2013. ⟨hal-00922710⟩