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非线性约束优化问题的混合粒子群算法
引用本文:高岳林,李会荣.非线性约束优化问题的混合粒子群算法[J].计算数学,2010,32(2):135-146.
作者姓名:高岳林  李会荣
作者单位:1. 北方民族大学信息与系统科学研究所,银川,750021
2. 商洛学院数学与计算科学系,陕西商洛,726000
基金项目:基金:国家自然科学基金资助,宁夏自然科学基金资助 
摘    要:把处理约束条件的一个外点方法和改进的粒子群优化算法相结合,提出了一种求解非线性约束优化问题的混合粒子群优化算法.该方法兼顾了粒子群优化和外点法的优点,对算法迭代过程中出现不可行粒子,利用外点法处理后产生可行粒子.数值实验表明了提出的新算法具有有效性、通用性和稳健性.

关 键 词:全局最优化  非线性约束优化  粒子群优化  外点法
收稿时间:2008-12-09

HYBRID PARTICLE SWARM ALGORITHM OF NONLINEAR CONSTRAINT OPTIMIZATION PROBLEMS
Gao Yuelin,Li Huirong.HYBRID PARTICLE SWARM ALGORITHM OF NONLINEAR CONSTRAINT OPTIMIZATION PROBLEMS[J].Mathematica Numerica Sinica,2010,32(2):135-146.
Authors:Gao Yuelin  Li Huirong
Institution:1. Research Institute of Information and System Science, North National University, Yinchuan 750021, China;
2. Department of Mathematics and Computation Science, Shangluo University, Shangluo 726000, Shanxi, China
Abstract:Combining an outside point method of dealing with the constraints with improved particle swarm optimization algorithm, a hybrid particle swarm optimization algorithm is proposed for solving non-linear constrained optimization problems. This method makes use of advantages of the PSO and outside point method. The non-feasible particles produced in iterative process are dealt with by the outside point method to produce feasible particles. A number of numerical experiments show that the proposed new algorithm has effectiveness and versatility and robustness.  
Keywords:global optimization  non-linear constrained optimization  particle swarm optimization(PSO)  outside point method
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