Encadrement de la fiabilité des systèmes k-consécutifs-sur-n sous l’hypothèse de dépendance.

Abstract

Most of the research on reliability theory has focused on the study of independence between the components of a system. However, in many real systems, dependence between components is one of the realistic and intractable assumptions that should be properly considered. The purpose of this work is to provide precise upper and lower bounds for the reliability of linear consecutive k-out-of-n :G systems consisting of dependent components with identical or arbitrary distribution functions. Some comparisons are made and many examples are processed to prove the performance of the proposed method.