Describing air traffic flows using stochastic programming

Kiumjin Lee (1) , Daniel Delahaye (1) , Stéphane Puechmorel (1)

1 ENAC - Ecole Nationale de l'Aviation Civile

The objectives of Air Traffic Management (ATM) system is to ensure safe and efficient operation of an individual flight as well as to maximize the overall capacity and minimize the adverse environmental impacts of the air transportation system. To achieve these objectives, airspace capacity, which drives capacity and traffic flow management policies, should be more properly estimated according to the detailed traffic configuration. There have been some efforts to describe the complexity of a traffic situation based on the idea of modeling airspace onto a dynamical system. This paper extends the previous research efforts by accounting for uncertainties on aircraft's positions and velocities. The proposed method is illustrated with examples.

Mots clés: airspace of interest; position of aircraft at ti; velocity of aircraft at ti; nonlinear vector field model for airspace D; linear vector field model for airspace D; reference point in time for linearization; reference point in space for linearization; position of aircraft at ti as a random variable; velocity of aircraft at ti as a random variable; Frobenius norm; window function; variable number

Domaines: Mathématiques [math]; Optimisation et contrôle [math.OC]

Kiumjin Lee, Daniel Delahaye, Stéphane Puechmorel. Describing air traffic flows using stochastic programming. AIAA GNC 2009, AIAA Guidance, Navigation and Control Conference, Aug 2009, Chicago, United States. pp xxxx, ⟨10.2514/6.2009-6198⟩. ⟨hal-01004154⟩