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多模函数优化的改进花朵授粉算法
引用本文:郭庆,惠晓滨,张贾奎,李正欣.多模函数优化的改进花朵授粉算法[J].北京航空航天大学学报,2018,44(4):828-840.
作者姓名:郭庆  惠晓滨  张贾奎  李正欣
作者单位:空军工程大学 装备管理与安全工程学院,西安,710051;空军工程大学 装备管理与安全工程学院,西安,710051;空军工程大学 装备管理与安全工程学院,西安,710051;空军工程大学 装备管理与安全工程学院,西安,710051
基金项目:国家自然科学基金(61502521) National Natural Science Foundation of China(61502521)
摘    要:为了探讨花朵授粉算法(FPA)在解算多模函数优化问题中存在的不足,通过定义种群多样性及差异性指标,定性分析了FPA在多模复杂函数优化中的寻优缺点。基于模拟退火思想优化全局授粉过程,并利用Nelder-Mead单纯形搜索技术对花朵局部授粉进行重构,提出一种新的花朵授粉寻优架构。仿真结果表明,相对于基本的FPA、布谷鸟算法、萤火虫算法,改进花朵授粉算法能够有效避免陷入局部最优,具备优异的全局勘探和局部开采能力,对多模优化问题具有一定优势。

关 键 词:花朵授粉算法(FPA)  模拟退火  Nelder-Mead单纯形法  多模函数优化
收稿时间:2017-04-18

Improved flower pollination algorithm for multimodal function optimization
GUO Qing,HUI Xiaobin,ZHANG Jiakui,LI Zhengxin.Improved flower pollination algorithm for multimodal function optimization[J].Journal of Beijing University of Aeronautics and Astronautics,2018,44(4):828-840.
Authors:GUO Qing  HUI Xiaobin  ZHANG Jiakui  LI Zhengxin
Abstract:In order to discuss the defects of flower pollination algorithm(FPA)in solving multimodal op-timization problems,the optimal disadvantages of flower pollination algorithm in multimodal function optimiza-tion were qualitatively analyzed by defining population diversity and difference index.And then a new frame-work of FPA was constructed by optimizing the global pollination process based on the simulated annealing idea and using Nelder-Mead simplex search method to reconstruct the local pollination process.The simulation re-sults show that the improved flower pollination algorithm can effectively avoid falling into local optimum and has better global exploration and local exploitation abilities,which has advantages to solve multimodal function optimization,compared with primary flower pollination algorithm, cuckoo search algorithm and firefly algo-rithm.
Keywords:flower pollination algorithm(FPA)  simulated annealing  Nelder-Mead simplex method  multimodal function optimization
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