一种基于莱维飞行的新型改进平衡全局优化算法

本文将莱维飞行（Lévy flight）和平衡优化算法（EO）相结合，提出了一种新型的全局优化算法（LEO）。该算法从平衡优化算法核心出发，采用莱维飞行轨迹实现了在探索和开发之间更好的平衡，并且可以有效防止算法陷入局部最优解。同时给出了新型全局优化算法的数学模型和算法流程，进一步保证了算法中全局搜索和局部开发之间平衡性。将该算法应用于基准测试函数求解以测试算法性能，通过与主流智能算法对比，优化结果表明新算法在解决优化问题方面表现更为优越，为更多工程问题的解决提供了新的思路。

A New Improved Equilibrium Global Optimization Algorithm based on Lévy Flight

Combining Lévy Flight and Equilibrium optimizer(EO),this paper presents a new global optimization.Starting from the core of Equilibrium optimizer，the trajectory of Lévy flight trajectory is adopted to achieve a better balance between exploration and development,and effectively prevent from falling into the local optimum.Meanwhile,the mathematical model and algorithm flow of the new global optimization algorithm are given and the optimizer can guarantee the balance between global search and local development.The algorithm performance can be tested by solving the benchmark function.Compared with the mainstream intelligent algorithm,the optimization results show that the new algorithm performs better in solving optimization problems and provides new ideas for solving more engineering problems.