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量子势阱粒子群优化算法的改进研究
引用本文:李盼池,王海英,宋考平,杨二龙.量子势阱粒子群优化算法的改进研究[J].物理学报,2012,61(6):60302-060302.
作者姓名:李盼池  王海英  宋考平  杨二龙
作者单位:东北石油大学 石油与天然气工程博士后流动站, 大庆 163318;东北石油大学 计算机与信息技术学院, 大庆 163318;东北石油大学 计算机与信息技术学院, 大庆 163318;东北石油大学 石油与天然气工程博士后流动站, 大庆 163318;东北石油大学 石油与天然气工程博士后流动站, 大庆 163318
基金项目:国家自然科学基金(批准号:61170132)、中国博士后科学基金(批准号:20090460864,201003405)、黑龙江省博士后科学基金(批准号:LBH-Z09289)和黑龙江省教育厅科学基金(批准号:11551015)资助的课题.
摘    要:为提高量子势阱粒子群优化算法的优化能力, 通过分析目前量子势阱粒子群优化算法的设计过程, 提出了改进的量子势阱粒子群优化算法. 首先, 分别基于Delta势阱、谐振子和方势阱 提出了改进的量子势阱粒子群优化算法, 并提出了基于统计量均值的控制参数设计方法. 然后, 在势阱中心的设计方面, 为强调全局最优粒子的指导作用, 提出了基于自身最优粒子加权平均和动态随机变量的两种设计策略. 实验结果表明, 三种势阱粒子群优化算法性能比较接近, 都优于原算法, 且Delta势阱模型略优于其他两种.

关 键 词:量子计算  量子势阱  粒子群优化  算法设计
收稿时间:2011-05-23
修稿时间:7/3/2011 12:00:00 AM

Research on the improvement of quantum potential well-based particle swarm optimization algorithm
Li Pan-Chi,Wang Hai-Ying,Song Kao-Ping and Yang Er-Long.Research on the improvement of quantum potential well-based particle swarm optimization algorithm[J].Acta Physica Sinica,2012,61(6):60302-060302.
Authors:Li Pan-Chi  Wang Hai-Ying  Song Kao-Ping and Yang Er-Long
Institution:Post-doctoral Research Center of Oil and Gas Engineering, Northeast Petroleum University, Daqing 163318, China;School of Computer and Information Technology, Northeast Petroleum University, Daqing 163318, China;School of Computer and Information Technology, Northeast Petroleum University, Daqing 163318, China;Post-doctoral Research Center of Oil and Gas Engineering, Northeast Petroleum University, Daqing 163318, China;Post-doctoral Research Center of Oil and Gas Engineering, Northeast Petroleum University, Daqing 163318, China
Abstract:To enhance the optimization ability of quantum potential well-based particle swarm optimization algorithm, the improved quantum potential well-based particle swarm optimization algorithms are proposed by analyzing the design process of current quantum potential well-based particle swarm optimization algorithms. Firstly, three improved quantum particle swarm optimization algorithms are proposed based on delta potential well, harmonic oscillator and square potential well, respectively, and then a statistic mean-based control parameter design method is presented for the proposed models. Secondly, to highlight the guiding role of the global optimal particle in designing potential well centers, two strategies are presented based on a weighted average of all self-optimal particles and dynamic random variables. The experimental results show that the performances of three improved algorithms are relatively close, the model based delta potential well are slightly better than the other two kinds of model, and the performances of three improved algorithms are superior to that of the original algorithm.
Keywords:quantum computation  quantum potential well  particle swarm optimization  algorithm design
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