许波, 彭志平, 陈晓龙, 柯文德, 余建平. 一种基于云模型的多目标进化算法[J]. 信息与控制, 2012, (3): 326-332. DOI: 10.3724/SP.J.1219.2012.00326
引用本文: 许波, 彭志平, 陈晓龙, 柯文德, 余建平. 一种基于云模型的多目标进化算法[J]. 信息与控制, 2012, (3): 326-332. DOI: 10.3724/SP.J.1219.2012.00326
XU Bo, PENG Zhiping, CHEN Xiaolong, KE Wende, YU Jianping. A Multi-Objective Evolutionary Algorithm Based on Cloud Model[J]. INFORMATION AND CONTROL, 2012, (3): 326-332. DOI: 10.3724/SP.J.1219.2012.00326
Citation: XU Bo, PENG Zhiping, CHEN Xiaolong, KE Wende, YU Jianping. A Multi-Objective Evolutionary Algorithm Based on Cloud Model[J]. INFORMATION AND CONTROL, 2012, (3): 326-332. DOI: 10.3724/SP.J.1219.2012.00326

一种基于云模型的多目标进化算法

A Multi-Objective Evolutionary Algorithm Based on Cloud Model

  • 摘要: 在多目标进化算法的基础上,提出了一种基于云模型的多目标进化算法(CMOEA).算法设计了一种新的变异算子来自适应地调整变异概率,使得算法具有良好的局部搜索能力.算法采用小生境技术,其半径按X 条件云发生器非线性动态地调整以便于保持解的多样性,同时动态计算个体的拥挤距离并采用云模型参数来估计个体的拥挤度,逐个删除种群中超出的非劣解以保持解的分布性.将该算法用于多目标0/1 背包问题来测试CMOEA 的性能,并与目前最流行且有效的多目标进化算法NSGA-Ⅱ 及SPEA2 进行了比较.结果表明,CMOEA 具有良好的搜索性能,并能很好地维持种群的多样性,快速收敛到Pareto 前沿,所获得的Pareto 最优解集具有更好的收敛性与分布性.

     

    Abstract: A cloud model-based multi-objective evolutionary algorithm (CMOEA) is proposed based on the multiobjectiveevolutionary algorithm. In CMOEA, a new mutation operator that adaptively adjusts the mutation probabilityis designed to guarantee the good local searching ability. To maintain the diversity of solutions, the niche technology isexploited, where the niche radius is dynamically adjusted according to the X conditions cloud generator. Meanwhile, the dynamiccalculation of crowding distance for individuals and the estimation of the individual congestion intensity by the cloudmodel are conducted at the same time, which is then followed by the eliminating process that removes the excess populationone by one to keep non-inferior solutions for distribution. Finally, the multi-objective 0/1 knapsack problem is employedto test the performance of CMOEA. Experimental results indicate that compared with the currently most effective multiobjectiveevolutionary algorithms (NSGA-II and SPEA2), CMOEA has a better performance in searching and populationdiversity. In addition, fast convergence to the Pareto front is also achieved and the resulting set of Pareto optimal solutionshas superior convergence and distribution.

     

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