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A Derivative-Free Filter Driven Multistart Technique for Global Optimization

  • Florbela P. Fernandes
  • M. Fernanda P. Costa
  • Edite M. G. P. Fernandes
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7335)

Abstract

A stochastic global optimization method based on a multistart strategy and a derivative-free filter local search for general constrained optimization is presented and analyzed. In the local search procedure, approximate descent directions for the constraint violation or the objective function are used to progress towards the optimal solution. The algorithm is able to locate all the local minima, and consequently, the global minimum of a multi-modal objective function. The performance of the multistart method is analyzed with a set of benchmark problems and a comparison is made with other methods.

Keywords

Global optimization Multistart Descent Direction Filter Method 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Florbela P. Fernandes
    • 1
    • 3
  • M. Fernanda P. Costa
    • 2
    • 3
  • Edite M. G. P. Fernandes
    • 4
  1. 1.ESTiGPolytechnic Institute of BragançaBragançaPortugal
  2. 2.Department of Mathematics and ApplicationsUniversity of MinhoGuimarãesPortugal
  3. 3.Mathematics R&D CentreUniversity of MinhoBragaPortugal
  4. 4.Algoritmi R&D CentreUniversity of MinhoBragaPortugal

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