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复数编码粒子群算法及在函数优化中的应用

Particle swarm optimization based on complex-valued encoding and application in function optimization

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【作者】 陈得宝李淮江李峥

【Author】 CHEN De-bao,LI Huai-jiang,LI Zheng Physics and Electron Information Institute,Huaibei Coal Industry Teachers College,Huaibei,Anhui 235000,China

【机构】 淮北煤炭师范学院物理与电子信息学院

【摘要】 为拓展个体基因包含的信息量,将复数编码用到粒子群算法中,用复数来表示粒子的基因,构造双倍体粒子群,提出一种复数粒子群算法(PCPSO)。目标函数自变量的大小由复数的模决定,复数的幅角决定自变量的符号。粒子飞跃分成实部基因和虚部基因两部分,文中给出了复数编码粒子群的更新关系,并对收敛性进行了分析。对典型函数进行实验,结果与实数编码方法相比,验证了方法的有效性。

【Abstract】 To expand the information of individuals,the idea of complex-valued encoding is used in Particle Swarm Optimization(PSO),the gene of particles is denoted by plurality,so a diploid swarm is structured by a sequence plurality.The value of independent variables for objective function is determined by modules,and sign of them is determined by angles.The flying process of particles is divided into two parts,namely real part gene and imaginary gene.The updating relation of complex-valued swarm is presented,and the convergent performance is analyzed.Two typical functions is tested.The results are compared with particle swarm optimization based on real-valued encoding,the usefulness of the proposed algorithm is verified.

【基金】 安徽省自然科学基金No.2009-2010;安徽省教育厅自然科学基金(No.KJ2008A114);高等学校省级优秀青年人才基金(No.2009SQRZ088ZD)~~
  • 【文献出处】 计算机工程与应用 ,Computer Engineering and Applications , 编辑部邮箱 ,2009年10期
  • 【分类号】TP18
  • 【被引频次】15
  • 【下载频次】297
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