Objectives : The course aims at presenting the modelling process in Decision Aiding/Operational Research as well as original models for various decision problems.
Contents:
Definition and roles of models in Decision Aiding/Operational Research. Solution and preference models.
Description of the modelling process and its different phases.
Presentation of non trivial models using various modelling frameworks (graphs, linear programming, multiobjective,...).
The use of 0-1 variables in linear programming
Presentation of modelling and solving tools (modellers and solvers).
Bibliography:
H.P. Williams. Model building in mathematical programming. J. Wiley, New York, 2013. 5th edition
Ph. Vallin et D. Vanderpooten. Aide à la décision : une approche par les cas. Ellipses, Paris, 2002., 2ème édition
D. Vanderpooten « Modelling in decision aiding ». In D. Bouyssou, E. Jacquet-Lagrèze, P. Perny, R. Slowinski, D. Vanderpooten, and Ph. Vincke (eds), Aiding Decisions with Multiple Criteria: Essays in Honour of Bernard Roy, pages 195–210. Kluwer, 2001.