AOAAO: The Hybrid Algorithm of Arithmetic Optimization Algorithm With Aquila Optimizer

Many new algorithms have been proposed to solve the mathematical equations formulated to describe the real-world problems. But there still does not exist one algorithm that could solve the problems all. And most of the proposed algorithms have defects in some aspects, they need to be improved in application. In order to find a more efficient optimization algorithm and inspired by the better performance of the Arithmetic Optimization algorithm (AOA) and Aquila Optimizer (AO), we proposed a hybridization algorithm of them and abbreviated AOAAO in this paper. Considering the better performance of the Harris Hawk optimization (HHO) algorithm, an energy parameter E was also introduced to balance the exploration and exploitation procedures of individuals in AOAAO swarms, and furthermore, piecewise linear map was introduced to decrease the randomness of the energy parameter. Pseudo code of the proposed AOAAO algorithm was presented, Simulation experiments were carried out on the benchmark functions and three classical engineering problems were also involved in optimization. Nine popular well demonstrated algorithms were included for comparison. Results confirmed the AOAAO would be more efficient in optimization with faster convergence rate, and higher convergence accuracy.

Automated summary

A hybrid algorithm combining Arithmetic Optimization algorithm and Aquila Optimizer, named AOAAO, was proposed in this study. The introduction of an energy parameter and piecewise linear map improved the balance between exploration and exploitation processes. Simulation experiments demonstrated that AOAAO achieved faster convergence rate and higher accuracy in optimization.