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Mathematics > Optimization and Control

arXiv:1410.5031 (math)
This paper has been withdrawn by Xiongwen Qian
[Submitted on 19 Oct 2014 (v1), last revised 9 Oct 2022 (this version, v3)]

Title:A Complexity Indicator for 4D Flight Trajectories Based on Conflict Probability

Authors:Xiongwen Qian, Jianfeng Mao
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Abstract: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.
Comments: This article was withdrawn due by the author due to an error in figure 3
Subjects: Optimization and Control (math.OC)
Cite as: arXiv:1410.5031 [math.OC]
  (or arXiv:1410.5031v3 [math.OC] for this version)
  https://doi.org/10.48550/arXiv.1410.5031

Submission history

From: Xiongwen Qian [view email]
[v1] Sun, 19 Oct 2014 03:24:22 UTC (648 KB)
[v2] Wed, 7 Sep 2022 13:38:30 UTC (1 KB) (withdrawn)
[v3] Sun, 9 Oct 2022 13:41:05 UTC (1 KB) (withdrawn)
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