Jump of Circles: A new way to solve the engineering optimization problems

In this paper, a new meta-heuristic optimization method called the Jump of Circles Optimization Method is introduced. In any optimization problem, an answer zone is defined in which the optimization algorithms search the space to find the optimal answer. The method presented in this paper, uses two important pillars in searching the answer zone. The first pillar is to use the geometric principles. The Jump of Circles, uses the circle with decreasing radius. The second pillar is to use the meta-heuristic application. In meta-heuristic algorithms, the search points distribute randomly and jump in answer zone. In the proposed method, the center of the searching circle jumps and sits on the optimal point of each step. The proposed algorithm solves the optimization problem in two phases. The first phase is optimal area exploration and the second phase is exploiting the exploration. Finally, the most optimal point that will be obtained from the two phases, is the optimal answer of the problem. This paper focuses on engineering problems. So, to check the proposed method, three truss benchmark problems is solved. In addition, the Keane's bumpy function is solved using the Jump of Circles Optimization Method. The answer obtained from the proposed method are compared with some conventional methods and are presented in the paper. The superiority of the proposed method is observed clearly.