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Mathematical Problems in Engineering
Volume 2012 (2012), Article ID 690268, 16 pages
Research Article

Time-Based Separation for Aircraft Landing Using Danger Value Distribution Flow Model

Institute of Civil Aviation, National Cheng Kung University, Tainan 70101, Taiwan

Received 20 July 2012; Accepted 21 November 2012

Academic Editor: Chuangxia Huang

Copyright © 2012 Ta-Chung Wang and Chih-Hsiang Tsao. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This study proposes a flow model using a modified Lighthill-Whitham-Richards highway model. The proposed model treats each aircraft on an airway as a continuous distribution of air collision probability, which is called the danger value distribution. With the proposed flow model, collision can be easily predicted by the peak value of the overlap of the danger value distribution of each aircraft. The study further proposes a velocity adjustment method that can be used to resolve the conflict. The proposed method can be applied for aircraft separation during the landing process, in which the separation time is different for different combinations of aircraft types.