Relationships Between Redundancy, Optimal Allocation and Components Importance in Coherent Systems

Abstract

Abstract: In this paper the connections between the optimal redundancy allocation problems and components importance in a coherent system consisting of n independent components and m identical redundant components are studied. The effect of improvement one or two components on both the system reliability and the system failure rate is also discussed. Using these, a new measure of component importance is introduced. This measure is useful for both active and standby redundancy problems in coherent systems. Particular cases when m = 1,2 in series systems and m = 1 in parallel systems are studied in details.