The Terminal Maneuvering Area or Terminal Control Area (TMA) is a block of airspace class around a
set of airports (in a big city). It is designed to handle aircraft arriving to and departing from airports and
perhaps one of the most complex types of airspace. The arrival phase of flights, typically starts when the aircraft leave their cruise level in En-Route phase and ends when aircraft reach the Final Approach Fix. Aircraft arriving to airports in terminal areas are organized in arrival streams. To build such streams, the individual paths of each aircraft have to be gradually merged.
The purpose of this thesis is to optimally design departure and arrival routes. Two planification levels
will be addressed.
- The first one aims at designing such routes at stategic level. For a given airport we propose to designdeparture-arrival route for any runway configurations.
- The second one will address route design at tactical level. For a given configuration, we consider that some arrival or departure routes are blocked by some weather events (thunderstorm). Routes have to be dynamically redesigned in order to address the demand as efficiently as possible.
Both designs have to take into account operationnal constraints, for instance noise restrictions, aircraft
feature (for instance, a heavy aircraft can't land on a short runway), vertical and horizontal flow separation.
The aim of this thesis is, on the one hand, to develop mathematical models for the addressed problem,
and on the other hand to devise efficient numerical methods and corresponding algorithms for the associated (global) optimization problems.