A two-stage stochastic optimization model for air traffic conflict resolution under wind uncertainty

Abstract

This paper considers the air traffic conflict resolution problem in the context of wind uncertainty. Aircraft are assigned changes in airspeed to prevent conflict. The goal is to determine the optimal maneuver to balance deviation costs (e.g., fuel costs) and the probability of conflict. A twostage recourse model is developed, in which new airspeeds are assigned in the first stage, based on expected costs due to possible corrective actions in the second stage. The second-stage considers the expected costs for any last-minute maneuvers to compensate wind modeling errors. The resulting model is solved in real-time via numerical methods, providing optimal airspeed values for the resolution of a conflict.

A simplified approach to determine airspace complexity maps under automated conflict resolution

“…If a conflict occurs, the considered algorithm allows the aircraft to do only translational shiftings (known as the "offset method", [13,14]), or heading changes (considering degradation in the communication, 3.C.5-2 navigation and surveillance systems [15] or not [16]), or speed changes [16][17][18].…”

Aircraft Deconfliction via Mathematical Programming: Review and Insights

“…We refer the interested reader to Irvine (2002) for further details since the discussion on uncertainty is out of the scope of this paper. However, we notice that the analysis of Irvine of conflict probability inspired later works, including Vela et al (2009a), Lehouillier et al (2017a), which are mentioned in Section 4.…”

Method for optimal conflict-free aircraft trajectory generation

“…As a result, a practically applicable solution was not derived in most cases (Kantas et al , 2010). In particular, it is meaningful to consider the influence of various disturbances involved in the conflict avoidance and incorporate it into system model building (Vela et al , 2009; Hu et al , 2015).…”