Journal of Liaoning Petrochemical University

Journal of Liaoning Petrochemical University ›› 2010, Vol. 30 ›› Issue (2): 81-84.DOI: 10.3696/j.issn.1672-6952.2010.02.023

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Particle Swarm Optimization of Box Constrained Variational Inequalities

LIU Guo-zhi   

  1. School of Science, Liaoning Shihua University, Fushun Liaoning 113001, P.R.China
  • Received:2009-06-10 Published:2010-06-25 Online:2017-07-05

箱型约束变分不等式的微粒群算法

刘国志   

  1. 辽宁石油化工大学理学院,辽宁抚顺113001
  • 作者简介:刘国志(1962-),男,吉林德惠县,教授,硕士。
  • 基金资助:
    辽宁省自然科学基金资助(2004F100)。

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Abstract:  

Based on simple smooth merit function for the box constrained variational inequality problems, a new method named particle swarm optimization (PSO) used to solve the box constrained variational inequality problems was proposed. The proposed algorithm has not only the simple, also the fast convergence and high computational precision. The computational results show that the proposed algorithm is superior to damped Newton type method and regularized semi- smooth Newton method.

Key words: Variation inequality problems ,  Box constraints , Merit functions ,  Particle swarm optimization algorithm.

摘要： 对箱型约束变分不等式的简单光滑价值函数,给出了求解箱型约束变分不等式的微粒群算法。该算
法具有计算简单、快速收敛到全局最优解和较高的计算精度等优点。数值计算结果表明,提出的算法可靠性高、有
效性强,在计算精度上,都优于阻尼牛顿法和正则半光滑牛顿法

关键词: 变分不等式问题 , 箱型约束 , 价值函数 , 微粒群优化算法

Cite this article

LIU Guo-zhi . Particle Swarm Optimization of Box Constrained Variational Inequalities[J]. Journal of Liaoning Petrochemical University, 2010, 30(2): 81-84.

刘国志. 箱型约束变分不等式的微粒群算法[J]. 辽宁石油化工大学学报, 2010, 30(2): 81-84.

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