The OPTIM group conducts research on optimization methods, with the aim to develop and apply methods appropriate to the problems of air traffic management.
The optimization is a discipline involved in many domains, both applications than academic, which has a theoretical framework, a rigorous mathematical modeling, and an effective set of practical methods that can be adapted to the problems of air traffic.
Here are the main issues treated by the OPTIM group, on optimization, its applications and similar related topics . The research topics are grouped according to the classification of the National Council of Universities (CNU)
Applied Mathematics (CNU 26)
Optimization: models and methods for mathematical optimization applied to air traffic management, technical reformulation of models, heuristic for modularity maximization criterion in the graphs.
Computer science (CNU 27)
Optimization and parallelism cooperative parallelism between meta-heuristic methods and intervals, hybridization methods, operators, suitable for partially separable functions. Applications to solving air conflicts, taxiing, etc..
Learning: many learning techniques (eg neural networks) use optimization methods (eg BFGS, downhill gradient, meta-heuristics). Application to the prediction of workload prediction of aircraft trajectories.
Constraint programming, including applications to trajectory planning and takeoff slots.
These activities are described in the Research pages
The optimization methods developped by MAIAA to solve problems of air traffic management include: