using genetic algorithm to optimize a system with repairable components and multi-vacations for repairmen

In this paper, we present a redundancy allocation problem (rap) with series-parallel sub-systems and repairable components. the repairmen will go on multiple vacations. in repairable systems, a fundamental aspect to be considered is to predict the reliability of the systems under study. set a reliability model for repairable systems, however, is still a challenging problem when considering the dependency this paper aims to evaluate the number of components and repairmen in each sub-system. because this rap belongs to np. hard problems, also, a genetic algorithm to solve the presented model.