Open AccessAlgorithmes hybrides pour l’optimisation globale
Author(s) -
Abderrahmane Habbal,
Lionel Fourment,
Tien Tho
Publication year - 2008
Publication title -
european journal of computational mechanics
Language(s) - English
Resource type - Journals
eISSN - 2642-2085
pISSN - 2642-2050
DOI - 10.13052/remn.17.303-322
Subject(s) - interpolation (computer graphics) , ansatz , mathematical optimization , algorithm , cluster analysis , mathematics , scheme (mathematics) , computer science , artificial intelligence , motion (physics) , mathematical analysis , mathematical physics
We introduce two evolutionnary hybrid optimizers, based on surrogate models which use a limited prescribed number of exact evaluations of the criterion and its gradient. The first algorithm uses a discontinuous ansatz with a clustering technique. The second one uses a Liszka-Orkisz interpolation scheme, and keeps memory of the exactly evaluated individuals of previous generations. These two methods are applied to a 3D forging shape optimization problem. The considered objective combines the total energy cost and a defect criterion. We present numerical results which illustrate the efficiency of the developped algorithms.