Entropy minimizing curves with application to automated flight path design

Stéphane Puechmorel (1) , Florence Nicol (1, 2)

1 ENAC - Ecole Nationale de l'Aviation Civile
2 MAIAA - ENAC - Laboratoire de Mathématiques Appliquées, Informatique et Automatique pour l'Aérien

Air traffic management (ATM) aims at providing companies with a safe and ideally optimal aircraft trajectory planning. Air traffic controllers act on flight paths in such a way that no pair of aircraft come closer than the regulatory separation norm. With the increase of traffic, it is expected that the system will reach its limits in a near future: a paradigm change in ATM is planned with the introduction of trajectory based operations. This paper investigate a mean of producing realistic air routes from the output of an automated trajectory design tool. For that purpose, an entropy associated with a system of curves is defined and a mean of iteratively minimizing it is presented. The network produced is suitable for use in a semi-automated ATM system with human in the loop.

Domaines: Statistiques [math.ST]

Stéphane Puechmorel, Florence Nicol. Entropy minimizing curves with application to automated flight path design. GSI 2015, Oct 2015, Paris, France. ⟨hal-01162820⟩