Probabilistic reliability assessment of elementary graphical conditions for structured systems: A graph theoretical approach

Many structural properties such as controllability, observability, etc can be verified by elementary graphical conditions. It turned out that the validity of these properties depends mainly on four types of conditions. The aim of this paper is to study the impact of the system component failures on the satisfaction of elementary conditions. More precisely, we express the validity of these conditions as Boolean expressions based on the components events (failures). The reliability of structural properties is then computed knowing the system components reliability.