Optimal mixed redundancy allocation in a bridge network by a hierarchical memetic algorithm

Optimization of redundancy problems in reliability by meta-heuristic methods has attracted attention of many researchers during the last few years. In this paper, we have used hierarchical memetic algorithm (HMA) to optimize the mixed redundancy of a bridge network under cost constraint in minimal paths to increase the efficiency of the reliability. We have applied mixed cold and hot redundancies for all levels (components, subsystems and system) simultaneously in the network. What is interesting in this paper is that there is no limitation on the type of distribution of each component. Therefore, we try to optimize mixed redundancy for all the levels and find the maximum reliability for different costs in a network. Finally, the numerical results have been derived by HMA.