Groupe d’études et de recherche en analyse des décisions

An MINLP and a continuous-optimization approaches for aircraft conflict avoidance via speed and heading angle deviations

Marcel Mongeau École Nationale de l’Aviation Civile (ENAC), France

We propose two approaches to address a challenging problem arising in Air Traffic Management, that of keeping at all times a distance between any pair of aircraft throughout their flight trajectory above a threshold value. We address the problem by adjusting both aircraft speeds and heading angles simultaneously. Both the mixed-integer nonlinear programming model and the penalty continuous optimization model we are introducing deal with the complex aircraft separation constraints through reformulations. Numerical results validate the proposed approaches.

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