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
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)
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
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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