采用数量级阈值与二维信息排序策略的NSGA-II-DE算法
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燕山大学 a. 电气工程学院,b. 国家冷轧板带装备及工艺工程技术研究中心,河北 秦皇岛 066004.

作者简介:

侯宇浩

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TP18

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河北省高等学校创新团队领军人才培育计划项目(LJRC013);河北省科技支撑计划项目(13211817);国家冷轧板带及装备工程研究中心开放课题项目(2012005).


Modified NSGA-II-DE with two-dimensional information ordering strategy and magnitude threshold
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a. School of Electrical Engineering,b. National Engineering Research Center for Equipment and Technology of Cold Strip Rolling,Yanshan University,Qinhuangdao 066004,China.

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    摘要:

    为提高算法NSGA-II-DE解决含有复杂Pareto解集优化问题的性能, 分析原NSGA-II中拥挤度计算公式和排挤机制的缺陷, 并以NSGA-II-DE算法为基本框架, 将传统拥挤度排序策略改为包含有角度信息与伪半径的二维信息排序策略. 在拥挤度排挤机制中加入数量级阈值的干预, 提出改进算法2D-Thr. 选取多样度、收敛度和分布度3个评价指标进行量化计算, 并与NSGA-II-DE、原NSGA-II、MACPSO进行比较. 仿真结果表明, 改进算法不仅有效继承了原算法优良的收敛性, 而且提高了Pareto前沿的分布度.

    Abstract:

     To improve the performance of NSGA-II-DE solving the optimization problem with the complex Pareto solution set, the defection of the crowding distance formula and crowding distance mechanism in the NSGA-II is analyzed. Taking NSGA-II-DE as the basic frame, the crowding-distance sorting method is changed into the two-dimensional information ordering strategy of including angle and pseudo radius. The intervention of orders of magnitude threshold is joined in the crowding distance mechanism, and the improved algorithm(2D-Thr) is proposed, which is compared with NSGA-II-DE, NSGA-II and MACPSO by using the quantitative calculation of three evaluation indexes: the degree of diversity, convergence and spacing. The simulation results show that the improved algorithm not only inherits the excellent convergence of the original algorithm, but also improves the distribution of the Pareto front.

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杨景明 侯宇浩 孙浩 赵志伟.采用数量级阈值与二维信息排序策略的NSGA-II-DE算法[J].控制与决策,2016,31(9):1577-1584

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  • 收稿日期:2015-08-08
  • 最后修改日期:2016-01-11
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  • 在线发布日期: 2016-09-20
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