Optimized Multi-Event Simultaneous Departure Routes for Major Hub Airport

Abstract

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.