In this paper, a complexity indicator for 4D flight trajectories is developed based on conflict probability. A 4D trajectory is modeled as piecewise linear segments connected by waypoints. The position of each aircraft is modeled as a 2D Gaussian random variable and an approximation of the conflict probability between two aircraft is deduced analytically over each segment. Based on such conflict probability, a complexity indicator is constructed for the whole trajectory. Numerical examples show that the proposed complexity indicator is able to reflect the complexity of 4D trajectories perceived by air traffic controllers.
Cite
@article{arxiv.1410.5031,
title = {A Complexity Indicator for 4D Flight Trajectories Based on Conflict Probability},
author = {Xiongwen Qian and Jianfeng Mao},
journal= {arXiv preprint arXiv:1410.5031},
year = {2022}
}
Comments
This article was withdrawn due by the author due to an error in figure 3