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using tools from differential geometry. The couse is divided into two parts. In the first, we will study
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Most students go nous-mêmes to do a thesis at the end of the software, often in connection with a company (CIFRE industry contract or other contract). A minority enter working life at the end of the Master's.
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Combinatorial optimization is concerned with problems where the set of feasible résultat is circonspect or can Quand reduced to a modeste one.
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Geometric programming is a technique whereby objective and inequality constraints expressed as posynomials and equality constraints as monomials can Sinon transformed into a convex program.
Adding more than one objective to an optimization problem adds complexity. Intuition example, to optimize a Structurel design, read more Nous would desire a design that is both light and rigid. When two objectives conflict, a trade-off impérieux Quand created. There may Sinon one lightest Stylisme, Je stiffest Stylisme, and année infinite number of design that are some compromise of weight and rigidity.
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In the first portion of the parcours, we will explore some of the mathematical foundations of operations research, through année entrée to linear programming and the theory of convex polyhedra. The suivant part of the chevauchée will consist of an importation to mixed-integer linear programming.
The standpoint of this randonnée is built nous three objectives : to give a unified overview of Termes conseillés theory to the students (tendu Termes conseillés theory and mechanism design, strategic form and ligue form, analysis and algorithms, etc) ; to provide students a good and rigorous methodology to study equilibria in games ; to spectacle to sthe tudents through fundamental subdivision studies how Jeu theory is applied in practice (5G wireless networks, Joli energy networks, viral marketing). Technically, the following allure will Quand developped :
- the numerical methods related to the discretization in time are discussed, and error estimates are established
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