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Cellular automata for the investigation of navigation dynamics and aircraft mix in terminal arrival traffic

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  • Ogedengbe, Ikeoluwa Ireoluwa
  • Tai, Tak Shing
  • Wong, K.Y. Michael
  • Liem, Rhea P.

Abstract

Investigating the impact of traffic mix and route flexibility on the arrival traffic dynamic within the terminal maneuvering area (TMA) is challenging, mainly due to the spatial constraints and wake turbulent separation requirements. In this study, we capture the dynamism of complex interactions and non-linearity in traffic by using a cellular automaton that is modified to enable more realistic representation of air traffic movements. Our results show that route flexibility makes traffic less sensitive to changes caused by size-based traffic mix and demonstrate the emergence of an organized flow zone in the fundamental diagram of the flexible strategies. When a gentle TMA saturation behavior is preferred, however, less flexible routes are deemed more suitable. As a general principle, we propose to adopt a mixed strategy that uses a fixed routing strategy at low TMA occupancies and a flexible routing strategy at medium to high TMA occupancies.

Suggested Citation

  • Ogedengbe, Ikeoluwa Ireoluwa & Tai, Tak Shing & Wong, K.Y. Michael & Liem, Rhea P., 2025. "Cellular automata for the investigation of navigation dynamics and aircraft mix in terminal arrival traffic," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 671(C).
    • Handle: RePEc:eee:phsmap:v:671:y:2025:i:c:s0378437125002808
    DOI: 10.1016/j.physa.2025.130628
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    1. Li, Xingli & Guo, Fang & Kuang, Hua & Geng, Zhongfei & Fan, Yanhong, 2019. "An extended cost potential field cellular automaton model for pedestrian evacuation considering the restriction of visual field," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 515(C), pages 47-56.
    2. Gabrick, Enrique C. & Protachevicz, Paulo R. & Batista, Antonio M. & Iarosz, Kelly C. & de Souza, Silvio L.T. & Almeida, Alexandre C.L. & Szezech, José D. & Mugnaine, Michele & Caldas, Iberê L., 2022. "Effect of two vaccine doses in the SEIR epidemic model using a stochastic cellular automaton," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 597(C).
    3. Sidiropoulos, Stavros & Majumdar, Arnab & Han, Ke, 2018. "A framework for the optimization of terminal airspace operations in Multi-Airport Systems," Transportation Research Part B: Methodological, Elsevier, vol. 110(C), pages 160-187.
    4. Rickert, M. & Nagel, K. & Schreckenberg, M. & Latour, A., 1996. "Two lane traffic simulations using cellular automata," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 231(4), pages 534-550.
    5. Liu, Hongzhi & Zhang, Xingchen & Zhang, Xie, 2018. "Exploring dynamic evolution and fluctuation characteristics of air traffic flow volume time series: A single waypoint case," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 503(C), pages 560-571.
    6. Vaaben, Bo & Larsen, Jesper, 2015. "Mitigation of airspace congestion impact on airline networks," Journal of Air Transport Management, Elsevier, vol. 47(C), pages 54-65.
    7. R. Jiang & Q-S. Wu, 2005. "First order phase transition from free flow to synchronized flow in a cellular automata model," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 46(4), pages 581-584, August.
    8. 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.
    9. Meir Hemmo & Orly Shenker, 2015. "The emergence of macroscopic regularity," Mind & Society: Cognitive Studies in Economics and Social Sciences, Springer;Fondazione Rosselli, vol. 14(2), pages 221-244, November.
    10. Polese, Francesco & Payne, Adrian & Frow, Pennie & Sarno, Debora & Nenonen, Suvi, 2021. "Emergence and phase transitions in service ecosystems," Journal of Business Research, Elsevier, vol. 127(C), pages 25-34.
    11. Vranken, Tim & Sliwa, Benjamin & Wietfeld, Christian & Schreckenberg, Michael, 2021. "Adapting a cellular automata model to describe heterogeneous traffic with human-driven, automated, and communicating automated vehicles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 570(C).
    12. Kerner, Boris S., 2013. "Criticism of generally accepted fundamentals and methodologies of traffic and transportation theory: A brief review," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(21), pages 5261-5282.
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