SMAOA: An improved arithmetic optimization algorithm and its application to engineering optimization

Arithmetic optimization algorithm (AOA) is a recently proposed meta-heuristic algorithm. It is widely used due to its simple principle and few parameter settings. However, AOA also has some shortcomings, such as weak global search ability, slow convergence speed, and a tendency to fall into local optimum. In view of the shortcomings of arithmetic optimization algorithm, this paper proposes an improved arithmetic optimization algorithm that combines sine factors and memory strategies, which is called sine-memory arithmetic optimization algorithm (SMAOA). First, reconstruct the formula of the mathematical optimizer acceleration parameter (MOA). Second, introduce sine factors to improve the exploration performance. Finally, add a memory strategy to improve the exploitation performance. In order to verify the effectiveness and practicability of the algorithm proposed in this paper, we selected 10 functions from the CEC2017 benchmark function set to evaluate the performance of SMAOA. Meanwhile, the SMAOA is applied to four engineering examples to further verify its practicability. Experimental results show that SMAOA has obvious advantages in search ability and convergence speed compared with standard AOA and five popular meta-heuristic algorithms.