Modelling and Optimization

Objectifs

At the end of this module, the student will have understood and be able to explain :

- Various approaches to analyze and evaluate the performances of discrete event system DES

- Various types of modelling adapted to the problems considered (deterministic of stochastic models, numerical and combinatorics optimization models, models of concurrency)

-Algorithms available to solve these problems.

The student will be able to :

- Model and solve operational research problems (optimization, linear programming, graphs, stochastic process) and discrete event systems problems

- Model stochastic systems, such as a network of queues, using Markov chains. Comptute their stationary performance measures, and dimension its capacity

- Model a DES by Petri net, analyse the properties of the Petri net by various methods of analysis (exhaustive and structural).

Pré-requis

Évaluation

L’évaluation des acquis d’apprentissage est réalisée en continu tout le long du semestre. En fonction des enseignements, elle peut prendre différentes formes : examen écrit, oral, compte-rendu, rapport écrit, évaluation par les pairs…