Arithmetic Optimization Algorithm With Mathematical Operator for Solving Spherical Minimum Spanning Tree Problem

In order to effectively strengthen the exploration and exploitation capabilities of the arithmetic optimization algorithm (AOA) and the balance of search ability between the two is realized, a novel mathematical operator-based arithmetic optimization algorithm (MAOA) is proposed. Firstly, the exploitation and exploration abilities of the population are improved through mathematical symmetry operators and median operators, respectively. Secondly, the balance between exploration and exploitation of AOA algorithm is effectively strengthened by using sine–cosine operator. Finally, the MAOA algorithm is used to solve the spherical mining spanning tree (sphere MST) and communication network problems. Experimental results show that the proposed MAOA has achieved excellent results in terms of accuracy, robustness, and convergence speed.