一种基于莱维飞行的新型改进平衡全局优化算法  

A New Improved Equilibrium Global Optimization Algorithm based on Lévy Flight

作　　者：杨柳庆 杨婷婷[3] 王鹏飞 张勇 YANG Liu-qing;YANG Ting-ting;WANG Peng-fei;ZHANG Yong(Research Institute of Pilotless Aircraft,Nanjing University of Aeronautics and Astronautics,Nanjing 210016,China;Key Laboratory of Unmanned Aerial Vehicle Technology,Ministry of Industry and Information Technology,Nanjing University of Aeronautics and Astronautics,Nanjing 210016,China;College of Automation Engineering,Nanjing University of Aeronautics and Astronautics,Nanjing 210016,China)

机构地区：[1]南京航空航天大学无人机研究院,江苏南京210016 [2]南京航空航天大学中小型无人机先进技术工业和信息化部重点实验室,江苏南京210016 [3]南京航空航天大学自动化学院,江苏南京210016

出　　处：《宇航计测技术》2020年第5期62-69,共8页Journal of Astronautic Metrology and Measurement

基　　金：国家自然科学基金(11572149)资助。

摘　　要：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。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.

关 键 词：全局优化 莱维飞行 改进平衡优化算法 

分 类 号：TP311.1[自动化与计算机技术—计算机软件与理论]