This paper focuses on the reliability of complex networks, which has been calculated as a complex system by using minimal cuts. The reliability of this system has been assigned to study the possible approaches to reliability values based on the reduction of total costs in this system. The genetic algorithm (GA) has been used to solve the allocation problem. Reliability and ability to solve complex problems and optimization also found in structures of engineering. Generally high implementation costs require high further duplicates. In addition to using GA, optimizing the swarm (PSO) and this algorithm is based on the action of the organisms living that accumulate. PSO is very close to GA because of the fact that these evolutionary approaches are all strategies, Using some probabilistic and some probable values. The main objective of this article is to investigate and compare between two algorithms GA and PSO.