using nsga ii algorithm for a three objectives redundancy allocation problem with k-out-of-n sub-systems

in the new production systems, finding a way to improving the product and system reliability in design is a very important. the reliability of the products and systems may improve using different methods. one of this methods is redundancy allocation problem. in this problem by adding redundant component to sub-systems under some constraints, the reliability improved. in this paper we worked on a three objectives redundancy allocation problem. the objectives are maximizing system reliability and minimizing the system cost and weight. the structure of sub-systems are k-out-of-n and the components have constant failure rate. because this problem belongs to np. hard problems, we used nsga ii multi-objective meta-heuristic algorithm to solving the presented problem.