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双种群进化粒子群算法求解地下水管理模型
引用本文:吴睿奇,朱国荣,王 佩.双种群进化粒子群算法求解地下水管理模型[J].地质学刊,2012,36(1):37-43.
作者姓名:吴睿奇  朱国荣  王 佩
作者单位:南京大学地球科学与工程学院
基金项目:国家自然科学基金项目(J0830522)资助
摘    要:为避免粒子群算法(PSO)早熟的缺点,设计了一种双种群进化粒子群算法(DE-PSO)。DE-PSO是基于PSO,引入选择、交叉及差分变异操作,并结合合理有效的粒子评价方法及越界处理方法之后形成的。将DE-PSO应用于两个地下水管理模型算例,第一个算例DE-PSO解的总抽水量分别比遗传算法(GA)、模拟退火算法(SA)和PSO减少了64、256、207 m3/d,第二个算例DE-PSO解的总治理成本分别比GA、SA和PSO减少了57.74、151.93、76.59万元。两个算例中DE-PSO都表现出稳定的进化趋势,寻优效率好于GA、SA和PSO,可以有效求解地下水管理模型问题。

关 键 词:地下水管理模型  粒子群算法  双种群  差分变异
收稿时间:2011/10/26 0:00:00

Double-population evolution-particle swarm optimization algorithm for solving groundwater management model
WU Rui-qi.Double-population evolution-particle swarm optimization algorithm for solving groundwater management model[J].Jiangsu Geology,2012,36(1):37-43.
Authors:WU Rui-qi
Institution:(School of Earth Sciences and Engineering,Nanjing University,Nanjing 210093,China)
Abstract:To solve the premature convergence problem of Particle Swarm Optimization(PSO),a new algorithm named DE-PSO(Double-population Evolution-Particle Swarm Optimization) was designed.DE-PSO introduced selection,crossover and differential mutation into PSO,and adopted a new evaluation method to evaluate swarms and a new control method to ensure all swarms can fly inside search space.DE-PSO was applied to solve two groundwater management cases.In the first case,DE-PSO produced a design with respectively 64,256 and 207 m3/d less pumping rate than those of GA 、SA and PSO;in the second case,DE-PSO produced a design with respectively $577,400,$1,519,300 and $765,900 less remedial design cost than those of GA,SA and PSO.Two case studies indicated that DE-PSO could evolve steadily,the searching efficiency was better than GA,SA and PSO.DE-PSO could solve groundwater management model problems effectively.
Keywords:Groundwater management model  Particle swarm optimization  Double population  Differential variation
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