A Semidefinite Relaxation for Air Traffic Flow Scheduling

We first formulate the problem of optimally scheduling air traffic low with sector capacity constraints as a mixed integer linear program. We then use semidefinite relaxation techniques to form a convex relaxation of that problem. Finally, we present a randomization algorithm to further improve the quality of the solution. Because of the specific structure of the air traffic flow problem, the relaxation has a single semidefinite constraint of size dn where d is the maximum delay and n the number of flights.

• Type: Journal
• Year: 2006
• Where: CORR
• Authors: Alexandre d'Aspremont, Laurent El Ghaoui
• Keywords: Air Traffic, CORR 2006, Education, Mixed Integer Linear, Semidefinite Relaxation Techniques