Prof. Marcel Mongeau

Ecole Nationale de l'Avion Civile, Toulouse, France

May 03, 2019, 12:15, Room GC B3 30 (click here for the map)

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

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.


Marcel Mongeau received his BSc (1985) and MSc (1987) degrees in Mathematics from Universite de Montreal, and his PhD (1991) in Combinatorics & Optimization from the University of Waterloo (Canada). He was then a post-doctoral researcher at CRM (Universite de Montreal), at INRIA (France) and at the University of Edinburgh. From 1994 to 2011, he was at IMT, Universite Paul Sabatier (France), where he received a Habilitation a Diriger des Recherches in 2003. He is currently Professor in Operations Research at ENAC in Toulouse (France). His research interests include Global Optimization, Numerical Optimization, and Operations Research with applications to aeronautics.