—This study focuses on developing a multi-event
simultaneous departure routing for the Amsterdam Airport
Schiphol. The aircraft ground tracks are shaped by rational
Bezier curve, and the trajectory optimization problem is
reduced to a constrained parametric optimization formulation
with few unknown optimizers. In order to handle the
constraints, the continuous tracks are discretized into a series of
data points and approximated by piecewise linear curves. A
data-points selection strategy is introduced to improve the
calculation efficiency and guarantee the feasibility of the
optimized track. The original constrained parameter
optimization problem is transformed to an unconstrained one
using a penalty function method and subsequently solved by a
genetic algorithm and pattern search method. The details of
penalty function formulation are given in this study. The
feasibility of the proposed method is demonstrated in numerical
examples. The results show that both the number of people
highly annoyed and track distance are decreased in
simultaneous optimization relative to a scenario where
departure routes are optimized in isolation.
—Trajectory optimization, route shaping,
multi-event simultaneous route, rational bezier curve.
Zhang Song and Hou Mingshan are with the Northwestern Polytechnical
University, Xi’an, China (e-mail: zhangsong.gz@ gmail.com,
H. G. Visser is with Delft University of Techology, Delft, Netherland
Cong Wei is with the Nanjing University of Aeronautics and Astronautics,
Nanjing, China (e-mail: W.Congfirstname.lastname@example.org).
Cite: Zhang Song, H. G. Visser, Hou Mingshan, and Cong Wei, "Optimized Multi-Event Simultaneous Departure Routes
for Major Hub Airport," International Journal of Modeling and Optimization vol. 4, no. 6, pp. 482-488, 2014.