Dynamic reliability indices for k-out-of-n multi-state system

A multi-state system k-out-of-n is one of basic models in reliability analysis. In this system, k is the minimum number of n components that must work for the system to work and both the system and its components can have more than two states. A structure function declares relation between system and component states uniquely. New algorithm for reliability analysis of the k-out-of-n multi-state system is proposed in this paper. We use two tools for examine this system: (a) structure function for the system description; (b) direct partial logic derivatives for analysis this system. New algorithm for reliability analysis of the multi-state system k-out-of-n is allowed to calculate the probability of influence i-th system component on the system breakdown or its repairing and the probability of a modification of multi-state system reliability at a change one of the system component states.