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An homotopy method for global optimization of continuous models

Alloula, Karim and Belaud, Jean-Pierre and Le Lann, Jean-Marc An homotopy method for global optimization of continuous models. (2011) In: ICheaP-10, 10th International Conference on Chemical and Process Engineering, 8-11 Mai 2011, Florence, Italy .

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Official URL: http://dx.doi.org/10.3303/CET1124055

Abstract

An original approach to global optimization of continuous models is introduced. It belongs to the class of homotopy continuation methods, but "only" requires non linear equation systems to be solved. Unconstrained and non-linearly constrained optimization problems are specified nearly the same way. They are solved by coupling a robust Newton formulation for under determinate systems and a heuristic estimating the global minimum value by means of the discrete Legendre-Fenchel biconjugate of the criterion. For the time being, the main drawback of the method is the too important number of function evaluations near by the global minimum. However, its success rate being very good on test problems, such as the global optimization of Lennard-Jones atomic clusters, it should be investigated further.

Item Type:Conference or Workshop Item (Paper)
Additional Information:Thanks to CET Editor. The definitive version is available at http://www.aidic.it/cet/ - First-edition 2011. Copyright © 2011, AIDIC Servizi S.r.l., ISBN 978-88-95608-16-7. ISSN 1974-9791. Printed in Italy.
Audience (conference):International conference proceedings
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS
Université de Toulouse > Institut National Polytechnique de Toulouse - INPT
Université de Toulouse > Université Paul Sabatier-Toulouse III - UPS
Laboratory name:
Laboratoire de Génie Chimique - LGC (Toulouse, France) - Procédés Systèmes Industriels (PSI) - Génie Industriel
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Deposited By: Vincent GERBAUD

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