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基于量子修正和单纯形法的改进哈里斯鹰优化算法。

Improved Harris Hawks Optimization algorithm based on quantum correction and Nelder-Mead simplex method.

机构信息

School of Information Engineering, Tianjin University of Commerce, Tianjin 300134, China.

出版信息

Math Biosci Eng. 2022 May 23;19(8):7606-7648. doi: 10.3934/mbe.2022358.

Abstract

Harris Hawks Optimization (HHO) algorithm is a kind of intelligent algorithm that simulates the predation behavior of hawks. It suffers several shortcomings, such as low calculation accuracy, easy to fall into local optima and difficult to balance exploration and exploitation. In view of the above problems, this paper proposes an improved HHO algorithm named as QC-HHO. Firstly, the initial population is generated by Hénon Chaotic Map to enhance the randomness and ergodicity. Secondly, the quantum correction mechanism is introduced in the local search phase to improve optimization accuracy and population diversity. Thirdly, the Nelder-Mead simplex method is used to improve the search performance and breadth. Fourthly, group communication factors describing the relationship between individuals is taken into consideration. Finally, the energy consumption law is integrated into the renewal process of escape energy factor E and jump distance J to balance exploration and exploitation. The QC-HHO is tested on 10 classical benchmark functions and 30 CEC2014 benchmark functions. The results show that it is superior to original HHO algorithm and other improved HHO algorithms. At the same time, the improved algorithm studied in this paper is applied to gas leakage source localization by wireless sensor networks. The experimental results indicate that the accuracy of position and gas release rate are excellent, which verifies the feasibility for application of QC-HHO in practice.

摘要

哈里斯鹰优化(HHO)算法是一种模拟鹰类捕食行为的智能算法。它存在计算精度低、易陷入局部最优和难以平衡探索与开发等缺点。针对上述问题,本文提出了一种名为 QC-HHO 的改进 HHO 算法。首先,通过 Henon 混沌映射生成初始种群,增强随机性和遍历性。其次,在局部搜索阶段引入量子修正机制,提高优化精度和种群多样性。然后,采用 Nelder-Mead 单纯形法改进搜索性能和广度。再次,考虑个体之间的群体通信因素。最后,将能量消耗规律集成到逃逸能量因子 E 和跳跃距离 J 的更新过程中,以平衡探索和开发。QC-HHO 在 10 个经典基准函数和 30 个 CEC2014 基准函数上进行了测试。结果表明,它优于原始 HHO 算法和其他改进的 HHO 算法。同时,将本文研究的改进算法应用于无线传感器网络中的气体泄漏源定位。实验结果表明,位置和气体释放率的精度非常高,验证了 QC-HHO 在实际应用中的可行性。

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