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Mardi 3 Décembre
| Heure: |
12:00 - 13:30 |
| Lieu: |
Salle B107, bâtiment B, Université de Villetaneuse |
| Résumé: |
A branch-and-bound method for box constrained integer polynomial optimization |
| Description: |
Claudia D'Ambrosio We consider the problem of minimizing an arbitrary polynomial subject to
box and integrality constraints. We propose a new class of
under-estimators composed of separable functions of the original variables
and use it within a branch-and-bound scheme to easily and quickly compute
lower bounds. Computational results on randomly generated instances show
good performance with respect to the ones of different open-source solvers
like Couenne, Gloptipoly , and SCIP.
Moreover, the second part of the talk will be devoted to present a
different perspective on partially separable problems. In particula, an
exact algorithm for mixed integer non-linear programming problems with
separable non-convexities will be presented. |
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