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643. Methods for Mixed Integer Non Linear Optimization
Invited abstract in session MA-24: Tutorial: Methods for Mixed Integer Non Linear Optimization, stream Tutorials (and Workshops).
Monday, 8:30-10:00Room: Esther Simpson 3.02
Authors (first author is the speaker)
| 1. | Claudia D'Ambrosio
|
| LIX, CNRS - Ecole Polytechnique |
Abstract
In this tutorial, we provide an overview of the fundamentals of theoretical and practical aspects of mixed-integer nonlinear optimization (MINLO).
MINLO problems are highly challenging from both a theoretical and practical perspective. They represent one of the largest classes of mathematical optimization problems for which general-purpose solvers exist. Thus, they are generic enough to represent a vast range of real-world applications, arising from finance to chemical engineering, energy systems, hydraulic engineering, transportation, just to mention a few.
We begin by introducing several motivational applications. Next, we explore methods for MINLO problems with convex objective functions and continuous relaxation feasible set. We then move on to global optimization techniques, designed to find globally optimal solutions of general MINLOs. Finally, we discuss practical tools for solving MINLO problems and highlight recent trends in the literature.
Keywords
- Mathematical Programming
- Combinatorial Optimization
- Global Optimization
Status: accepted
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