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Mardi 24 Janvier
| Heure: |
12:30 - 13:30 |
| Lieu: |
Salle B107, bâtiment B, Université de Villetaneuse |
| Résumé: |
Reformulations for Mixed-Integer Nonlinear Programs: a surprisingly simple one with surprisingly good results in (quite) a few different applications |
| Description: |
Antonio Frangioni We describe a quite long line of research about the Perpective Reformulation of certain Mixed-Integer NonLinear Programs, which started with a total serendipity moment motivated by trying to prove wrong a referee who was in fact right but for the wrong reasons. The research was brought forward in part by a series of othe r developments motivated by factors such as the need to finding another application to publish the first paper, the need of fending off competing research teams, and finding a good idea as a by-product of an original one that would never work. All this brought us to a Project-and-Lift approach to certain projected reformulations of the Perspective Reformulation which seems to be one of the few authentic violations of the "no free lunch principle": an easy reformulation of a MIQP with the very same size and structure as the original one but with a substantially stronger bound. Apart from providing an overview on a recent and potentially interesting research field in MINLP, we hope that this talk can motivate the audience to making more errors and looking at them with more interest. |
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