Allocation of Starting Points in Global Optimization Problems

被引：1

作者：

Khamisov, Oleg ^{[1
]}

Semenkin, Eugene ^{[2
]}

Nelyub, Vladimir ^{[2
]}

机构：

[1] Melentiev Energy Syst Inst, Dept Appl Math, Lermontov St 130, Irkutsk 664033, Russia

[2] Bauman Moscow State Tech Univ, Sci & Educ Ctr Artificial Intelligence Technol, 2nd Baumanskaya St,5, Moscow 105005, Russia

来源：

MATHEMATICS | 2024年 / 12卷 / 04期

关键词：

multistart; maximum distant points; multiple local minima;

D O I：

10.3390/math12040606

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We propose new multistart techniques for finding good local solutions in global optimization problems. The objective function is assumed to be differentiable, and the feasible set is a convex compact set. The techniques are based on finding maximum distant points on the feasible set. A special global optimization problem is used to determine the maximum distant points. Preliminary computational results are given.

引用

页数：21

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