Using NSGA II Algorithm for a Three-Objective Redundancy Allocation Problem with k-out-of-n Sub-Systems

In modern production systems, finding a way to improve the product and system reliability in design is very important. The reliability of the products and systems may improve using different methods. One of these methods is redundancy allocation problem. In this problem, by adding redundant components to sub-systems under some constraints, the reliability would improve. In this paper, we worked on a three-objective 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 solve the presented problem.