Redundancy Allocation Problem of a System with Three-state Components: AGenetic Algorithm

The redundancy allocation is one of the most important and useful problems in system optimization,especially in electrical and mechanical systems. The object of this problem is to maximize systemreliability or availability within a minimum operation cost. Many works have been proposed in thisarea so far to draw the problem near to real-world situations. While in classic models the systemcomponents are assumed to have two states of working and failed, in this paper, parallel components ofserial sub-systems are considered to work in three states, each with a certain performance rate. Thecomponent states are classified into two working states of working with full performance and workingwith half performance, and a failed state. Besides, technical and organizational activities are consideredto improve the performance of the components as well as the sub-systems. As the problem belongs tothe class of NP-hard, a genetic algorithm is utilized to solve it.