1. 北京工业大学信息学部,北京,100124
2. 计算智能与智能系统北京市重点实验室,北京,100124
3. 北京工业大学信息学部,北京,100124
4. 计算智能与智能系统北京市重点实验室,北京,100124
网络出版:2018-09-25,
纸质出版:2018
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韩红桂, 武淑君. 基于收敛速度和多样性的多目标粒子群种群规模优化设计[J]. 电子学报, 2018,46(9):2263-2269.
HAN Hong-gui, WU Shu-jun. Design of Population Size for Multi-objective Particle Swarm Optimization Algorithm Based on the Convergence Speed and Diversity[J]. Acta Electronica Sinica, 2018, 46(9): 2263-2269.
韩红桂, 武淑君. 基于收敛速度和多样性的多目标粒子群种群规模优化设计[J]. 电子学报, 2018,46(9):2263-2269. DOI: 10.3969/j.issn.0372-2112.2018.09.031.
HAN Hong-gui, WU Shu-jun. Design of Population Size for Multi-objective Particle Swarm Optimization Algorithm Based on the Convergence Speed and Diversity[J]. Acta Electronica Sinica, 2018, 46(9): 2263-2269. DOI: 10.3969/j.issn.0372-2112.2018.09.031.
针对多目标粒子群优化算法种群规模难以确定的问题,文中提出了一种基于收敛速度和多样性的多目标粒子群优化(Convergence speed and Diversity-based Multi-Objective Particle Swarm Optimization,CD-MOPSO)算法.首先,利用优化过程的收敛速度和多样性指标构造种群规模适应度函数,完成了种群规模与优化性能关系的描述;其次,基于适应度函数设计了一种种群规模自适应调整方法,实现了种群规模的动态调整;最后,将提出的CD-MOPSO在基准优化问题ZDT上测试并应用于城市管网优化,实验结果显示CD-MOPSO能够根据求解问题自动调整种群规模,与NSGA-Ⅱ、MOPSO、SPEA2和EMDS-MOPSO相比具有更快的收敛速度和更好的优化结果.
To determine the population size of multi-objective particle swarm optimization algorithm (MOPSO)
an improved MOPSO
based on the convergence speed and diversity
named CD-MOPSO
is proposed. Firstly
the fitness function of population size
which is developed by the convergence speed and diversity during the evolutionary process
is used to describe the relationship between the population size and the performance of MOPSO. Secondly
according to the fitness function
an adaptive adjustment method is designed to update the population size of MOPSO dynamically. Finally
the proposed CD-MOPSO is tested on the ZDT benchmark optimization problems and applied to a real optimization problem of urban pipe networks. The experimental results show that the proposed CD-MOPSO can adjust the population size automatically according to the problem
compared with the performance of NSGA
MOPSO
SPEA2 and EMDS-MOPSO
CD-MOPSO has faster convergence speed with better optimization results.
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