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Séminaire du CMLA : Covering solids by spheres of different diameters

le 8 juin 2017
12h30 - 13h30

Séminaire du CMLA animé par Nelson Maculan (UFRJ, Brésil)

maculan_nelson.jpg

maculan_nelson.jpg

SUJET : Optimisation non-convexe

RÉSUMÉ : We present a mathematical programming model for the problem of covering solids by spheres of different radii.

Given a set of spheres, possibly with different diameters, and a solid, the goal is to locate the spheres in such a way their union forms a coverage for this solid, using the smallest possible number of spheres of this set.

This problem has an application in the radio-surgical treatment planning known as Gamma Knife and can be formulated as a non-convex optimization problem with quadratic constraints and a linear objective function.
Type :
Séminaires - conférences
Lieu(x) :
Campus de Cachan
Salle des Conférences, Pavillon des Jardins

Nelson Maculan Filho

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