Abstract
This paper focuses on exploring the usage of clustering techniques to form new sector designs conforming to the constraints imposed by the problem. As an initial step we generate DBSCAN clusters based on the sector’s geographical points for analyzing the structural design of the airspace. As a second step, we form a graph model through the Voronoi Diagram to generate sites for each sector. Next, we transform the diagram into a Delaunay Triangulation. For the weighted graph model, we use two main metrics: the traffic flow and the number of intersections on each link. For the final step, we analyze spectral clustering on sectors to test how suitable the results are via convex bounding.
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References
de Berg, M., Cheong, O., van Kreveld, M., Overmars, M.: Computational Geometry–Algorithms and Applications, 3rd Ed. Springer, Heidelberg (2008). https://doi.org/10.1007/978-3-540-77974-2
Chen, Y., Zhang, D.: Dynamic airspace configuration method based on a weighted graph model. Chin. J. Aeronaut 27(4), 903–912 (2014). https://doi.org/10.1016/J.CJA.2014.06.009
Delahaye, D., Schoenauer, M., Alliot, J.M.: Airspace sectoring by evolutionary computation. In: 1998 IEEE International Conference on Evolutionary Computation Proceedings. IEEE World Congress on Computational Intelligence (Cat. No. 98TH8360), pp. 218–223 IEEE (1998)
Eurocontrol: workload calculation and Determination of Capacity with RAMS 1 ATC TASKS. Tech. rep. Eurocontrol (2006)
Eurocontrol: SESAR (2022). http://www.sesar.eu/
Federal Aviation Administration: NextGen Annual Report. Tech. rep. FAA (2020). https://www.faa.gov/nextgen/media/NextGenAnnualReport-FiscalYear2020.pdf
Gerdes, I., Temme, A., Schultz, M.: From free-route air traffic to an adapted dynamic main-flow system. Transp. Res. Part C: Emerg. Technol. 115, 102633 (2020)
Han, S.C., Zhang, M.: The optimization method of the sector partition based on metamorphic voronoi polygon. Chin. J. Aeronaut. 17(1), 7–12 (2004)
ICAO: Doc 4444, Air Traffic Management. Tech. rep. ICAO (2016). https://ops.group/blog/wp-content/uploads/2017/03/ICAO-Doc4444-Pans-Atm-16thEdition-2016-OPSGROUP.pdf
Li, J., Wang, T., Savai, M., Hwang, I.: Graph-Based Algorithm for Dynamic Airspace Configuration. J. Guidance Control Dyn. 33(4), 1082–1094 (2010). https://doi.org/10.2514/1.47720
Sergeeva, M.: Automated airspace sectorization by genetic algorithm, Ph. D. thesis, Université Paul Sabatier (Toulouse 3) (2017)
Shi, J., Malik, J.: Normalized cuts and image segmentation. IEEE Trans. Pattern Anal. Mach. Intell. 22(8), 888–905 (2000). https://doi.org/10.1109/34.868688
Trandac, H., Baptiste, P., Duong, V.: Airspace Sectorization Constraints. RAIRO-Oper. Res. 39(2), 105–122 (2005)
Von Luxburg, U.: A tutorial on spectral clustering. Stat. Comput. 17(4), 395–416 (2007). https://doi.org/10.1007/s11222-007-9033-z. https://arxiv.org/abs/0711.0189v1
Xue, M.: Airspace sector redesign based on voronoi diagrams. In: AIAA Guidance, Navigation and Control Conference and Exhibit 18–21 August 2008, Honolulu, Hawaii AIAA AIAA, pp. 2008–7223 (2008)
Ye, Z., Kong, F., Zhang, B., Gao, W., Mao, J.: A method framework for automatic airspace reconfiguration-monte Carlo method for eliminating irregular sector shapes generated by region growth method. Sensors 19(18), 3934 (2019)
Yousefi, A., Donohue, G.: Temporal and spatial distribution of airspace complexity for air traffic controller workload-based sectorization. In: AIAA 4th Aviation Technology, Integration and Operations (ATIO) forum, p. 6455 (2004)
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Hidila, Z., Loukmane, A., Rahali, N., Mestari, M. (2022). Spectral Clustering Based on a Graph Model for Airspace Sectorization. In: Hamlich, M., Bellatreche, L., Siadat, A., Ventura, S. (eds) Smart Applications and Data Analysis. SADASC 2022. Communications in Computer and Information Science, vol 1677. Springer, Cham. https://doi.org/10.1007/978-3-031-20490-6_5
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