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Strategic Allocation of Flight Plans in Air Traffic Management: An Evolutionary Point of View

Author

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  • Gérald Gurtner

    (University of Westminster)

  • Fabrizio Lillo

    (University of Bologna)

Abstract

We present a simplified model of the strategic allocation of trajectories in a generic airspace for commercial flights. In this model, two types of companies, characterized by different cost functions and different strategies, compete for the allocation of trajectories in the airspace. With an analytical model and numerical simulations, we show that the relative advantage of the two populations—companies—depends on external factors like traffic demand as well as on the composition of the population. We show that there exists a stable equilibrium state which depends on the traffic demand. We also show that the equilibrium solution is not the optimal at the global level, but rather that it tends to favour one of the two business models—the archetype for low-cost companies. Finally, linking the cost of allocated flights with the fitness of a company, we study the evolutionary dynamics of the system, investigating the fluctuations of population composition around the equilibrium and the speed of convergence towards it. We prove that in the presence of noise due to finite populations, the equilibrium point is shifted and is reached more slowly.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:dyngam:v:8:y:2018:i:4:d:10.1007_s13235-017-0236-4
    DOI: 10.1007/s13235-017-0236-4
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    References listed on IDEAS

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    1. Gérald Gurtner & Stefania Vitali & Marco Cipolla & Fabrizio Lillo & Rosario Nunzio Mantegna & Salvatore Miccichè & Simone Pozzi, 2014. "Multi-Scale Analysis of the European Airspace Using Network Community Detection," PLOS ONE, Public Library of Science, vol. 9(5), pages 1-17, May.
    2. Gurtner, G. & Bongiorno, C. & Ducci, M. & Miccichè, S., 2017. "An empirically grounded agent based simulator for the air traffic management in the SESAR scenario," Journal of Air Transport Management, Elsevier, vol. 59(C), pages 26-43.
    3. Sun, Xiaoqian & Wandelt, Sebastian, 2014. "Network similarity analysis of air navigation route systems," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 70(C), pages 416-434.
    4. 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.
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