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Jamming transition in air transportation networks

Author

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  • Lacasa, Lucas
  • Cea, Miguel
  • Zanin, Massimiliano

Abstract

In this work we present a model of an air transportation traffic system from the complex network modelling viewpoint. In the network, every node corresponds to a given airport, and two nodes are connected by means of flight routes. Each node is weighted according to its load capacity, and links are weighted according to the Euclidean distance that separates each pair of nodes. Local rules describing the behaviour of individual nodes in terms of the surrounding flow have been also modelled, and a random network topology has been chosen in a baseline approach. Numerical simulations describing the diffusion of a given number of agents (aircraft) in this network show the onset of a jamming transition that distinguishes an efficient regime with null amount of airport queues and high diffusivity (free phase) and a regime where bottlenecks suddenly take place, leading to a poor aircraft diffusion (congested phase). Fluctuations are maximal around the congestion threshold, suggesting that the transition is critical. We then proceed by exploring the robustness of our results in neutral random topologies by embedding the model in heterogeneous networks. Specifically, we make use of the European air transportation network formed by 858 airports and 11170 flight routes connecting them, which we show to be scale-free. The jamming transition is also observed in this case. These results and methodologies may introduce relevant decision-making procedures in order to optimize the air transportation traffic.

Suggested Citation

  • Lacasa, Lucas & Cea, Miguel & Zanin, Massimiliano, 2009. "Jamming transition in air transportation networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(18), pages 3948-3954.
    • Handle: RePEc:eee:phsmap:v:388:y:2009:i:18:p:3948-3954
    DOI: 10.1016/j.physa.2009.06.005
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    Citations

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    Cited by:

    1. Zanin, Massimiliano & Herranz, Ricardo & Ladousse, Sophie, 2012. "Environmental benefits of air–rail intermodality: The example of Madrid Barajas," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 48(5), pages 1056-1063.
    2. Lordan, Oriol & Sallan, Jose M. & Escorihuela, Nuria & Gonzalez-Prieto, David, 2016. "Robustness of airline route networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 445(C), pages 18-26.
    3. Bongiorno, C. & Gurtner, G. & Lillo, F. & Mantegna, R.N. & Miccichè, S., 2017. "Statistical characterization of deviations from planned flight trajectories in air traffic management," Journal of Air Transport Management, Elsevier, vol. 58(C), pages 152-163.
    4. Volovoi, Vitali, 2013. "Universal failure model for multi-unit systems with shared functionality," Reliability Engineering and System Safety, Elsevier, vol. 119(C), pages 141-149.
    5. Wang, Yanjun & Zhang, Qiqian & Zhu, Chenping & Hu, Minghua & Duong, Vu, 2016. "Human activity under high pressure: A case study on fluctuation scaling of air traffic controller’s communication behaviors," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 441(C), pages 151-157.
    6. Gérald Gurtner & Fabrizio Lillo, 2018. "Strategic Allocation of Flight Plans in Air Traffic Management: An Evolutionary Point of View," Dynamic Games and Applications, Springer, vol. 8(4), pages 799-821, December.
    7. Ji, Xingpei & Wang, Bo & Liu, Dichen & Chen, Guo & Tang, Fei & Wei, Daqian & Tu, Lian, 2016. "Improving interdependent networks robustness by adding connectivity links," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 444(C), pages 9-19.
    8. Sun, Long Long & Hu, Ya Peng & Zhu, Chen Ping, 2023. "Scaling invariance in domestic passenger flight delays in the United States," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 611(C).
    9. Lordan, Oriol & Sallan, Jose M. & Simo, Pep, 2014. "Study of the topology and robustness of airline route networks from the complex network approach: a survey and research agenda," Journal of Transport Geography, Elsevier, vol. 37(C), pages 112-120.
    10. Xiaoqian Sun & Sebastian Wandelt, 2021. "Robustness of Air Transportation as Complex Networks:Systematic Review of 15 Years of Research and Outlook into the Future," Sustainability, MDPI, vol. 13(11), pages 1-19, June.
    11. Zanin, Massimiliano, 2015. "Can we neglect the multi-layer structure of functional networks?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 430(C), pages 184-192.
    12. Zhang, Mengyao & Huang, Tao & Guo, Zhaoxia & He, Zhenggang, 2022. "Complex-network-based traffic network analysis and dynamics: A comprehensive review," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 607(C).

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