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Kinetic-controlled hydrodynamics for multilane traffic models

Author

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  • Borsche, Raul
  • Klar, Axel
  • Zanella, Mattia

Abstract

We study the application of a recently introduced hierarchical description of traffic flow control by driver-assist vehicles to include lane changing dynamics. Lane-dependent feedback control strategies are implemented at the level of vehicles and the aggregate trends are studied by means of Boltzmann-type equations determining three different hydrodynamics based on the lane switching frequency. System of first order macroscopic equations describing the evolution of densities along the lanes are then consistently determined through a suitable closure strategy. Numerical examples are then presented to illustrate the features of the proposed hierarchical approach.

Suggested Citation

  • Borsche, Raul & Klar, Axel & Zanella, Mattia, 2022. "Kinetic-controlled hydrodynamics for multilane traffic models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 587(C).
    • Handle: RePEc:eee:phsmap:v:587:y:2022:i:c:s0378437121007597
    DOI: 10.1016/j.physa.2021.126486
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    References listed on IDEAS

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    1. Pareschi, Lorenzo & Toscani, Giuseppe, 2013. "Interacting Multiagent Systems: Kinetic equations and Monte Carlo methods," OUP Catalogue, Oxford University Press, number 9780199655465.
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    Cited by:

    1. Xin, Xueli & Sun, Meina, 2024. "The vanishing pressure limits of Riemann solutions for the Aw-Rascle hydrodynamic traffic flow model with the logarithmic equation of state," Chaos, Solitons & Fractals, Elsevier, vol. 181(C).

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