## Abstract

This report provides an insight into the mathematical methods developed to model the speed regulation problem in Air Traffic Flow Management. The speed regulation problem aims at optimizing aircraft speeds along their flights in order to smooth the air traffic flow. We chose to develop a linear framework for the speed regulation problem therefore most of the techniques presented aim at providing a linear formulation of the model.

## Original document

The different versions of the original document can be found in:

- https://hal.archives-ouvertes.fr/hal-00654223/document,
- https://hal.archives-ouvertes.fr/hal-00654223/file/Technical_Report_David_Rey.pdf