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.
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页数：21
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