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Deterministic global optimization using interval constraint propagation techniques

Published online by Cambridge University Press:  15 December 2004

Frederic Messine
Frederic Messine*
Affiliation:
Laboratoire de Mathématiques Appliquées, FRE 2570, Université de Pau et des Pays de l'Adour, UFR Sciences et Techniques, Département d'Informatique, BP 1155, 64013 Pau Cedex, France; Frederic.Messine@univ-pau.fr; messine@leei.enseeiht.fr.
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Abstract

The purpose of this article is to show the great interest of theuse of propagation (or pruning) techniques, inside classicalinterval Branch-and-Bound algorithms. Therefore, a propagationtechnique based on the construction of the calculus tree isentirely explained and some properties are presented without theneed of any formalism (excepted interval analysis). This approachis then validated on a real example: the optimal design of anelectrical rotating machine.

Keywords

Interval analysisBranch-and-Boundglobaloptimizationpruning/propagation techniques.
Type
Research Article
Information
RAIRO - Operations Research , Volume 38 , Issue 4 , October 2004 , pp. 277 - 293
Copyright
© EDP Sciences, 2004

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References

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