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Allocation of Starting Points in Global Optimization Problems

Author

Listed:
  • Oleg Khamisov

    (Department of Applied Mathematics, Melentiev Energy Systems Institute, Lermontov St. 130, 664033 Irkutsk, Russia)

  • Eugene Semenkin

    (Scientific and Educational Center “Artificial Intelligence Technologies”, Bauman Moscow State Technical University, 2nd Baumanskaya St., 5, 105005 Moscow, Russia)

  • Vladimir Nelyub

    (Scientific and Educational Center “Artificial Intelligence Technologies”, Bauman Moscow State Technical University, 2nd Baumanskaya St., 5, 105005 Moscow, Russia)

Abstract

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.

Suggested Citation

  • Oleg Khamisov & Eugene Semenkin & Vladimir Nelyub, 2024. "Allocation of Starting Points in Global Optimization Problems," Mathematics, MDPI, vol. 12(4), pages 1-22, February.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:4:p:606-:d:1340991
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