电子、通信与自动控制

实用最优点的概念及求解方法

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  • 1.东北大学 信息科学与工程学院,辽宁 沈阳 110004; 2.江苏师范大学 电气工程及自动化学院,江苏 徐州 221116
高立群(1949-),男,教授,博士生导师,主要从事复杂系统建模与控制、图像处理等的研究.

收稿日期: 2013-09-03

  修回日期: 2013-10-20

  网络出版日期: 2013-12-01

基金资助

国家自然科学基金资助项目(61273155)

Concept and Solving Method of Practicable Optimal Point

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  • 1.College of Information Science and Engineering,Northeastern University,Shenyang 110004,Liaoning,China;2.School of Electrical Engineering and Automation,Jiangsu Normal University,Xuzhou 221116,Jiangsu,China
高立群(1949-),男,教授,博士生导师,主要从事复杂系统建模与控制、图像处理等的研究.

Received date: 2013-09-03

  Revised date: 2013-10-20

  Online published: 2013-12-01

Supported by

国家自然科学基金资助项目(61273155)

摘要

从工程实际角度引出实用点的概念,指出对于一个优化问题而言,在某些场合不仅要考虑目标函数的全局极值点,还要考虑函数在此极值点邻域内的性质,进而提出实用最优点的概念——带有一定邻域约束的全局最优点.由于该约束采用传统方法难以处理,文中采用邻域采样的近似方法,基于粒子群优化算法的思想,提出了一种快速搜索算法,以求取不同要求下的实用最优点.仿真实验结果验证了实用最优点的概念以及搜索算法的可行性,该搜索算法具有良好的寻优性能.

本文引用格式

高立群 孔祥勇 欧阳海滨 邹德旋 . 实用最优点的概念及求解方法[J]. 华南理工大学学报(自然科学版), 2014 , 42(1) : 66 -71 . DOI: 10.3969/j.issn.1000-565X.2014.01.012

Abstract

From the viewpoint of engineering practice,a concept of practicable point is proposed to solve optimiza-tion problems.However,in a certain situations,not only the global extreme points of the objective function but alsothe characteristics of objective function in the extreme point neighborhood should be considered.In view of thisproblem,a concept of practicable optimal point,namely the global optimal point with a neighborhood constraint,isfurther proposed.Moreover,as neighborhood constraint is difficult to obtain with traditional methods,an approxi-mate method based on neighborhood sampling is put forward,and a rapid search algorithm based on the particleswarm optimization is presented to find the practicable optimal points meeting different requirements.Simulated re-sults indicate that both the proposed practicable optimal point and the corresponding search algorithm are of feasibi-lity,and that the search algorithm is effective in searching the practicable optimal point.

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