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Navigation System-Based Routing Strategies in Traffic Flows on Networks

Author

Listed:
  • Adriano Festa

    (Politecnico di Torino)

  • Paola Goatin

    (Université Côte d’Azur, Inria, CNRS, LJAD, Sophia Antipolis)

  • Fabio Vicini

    (Politecnico di Torino)

Abstract

Navigation choices play an important role in modeling and forecasting traffic flows on road networks. We introduce a macroscopic differential model coupling a conservation law with a Hamilton–Jacobi equation to, respectively, model the nonlinear transportation process and the strategic choices of users. Furthermore, the model is adapted to the multi-population case, where every population differs in the level of traffic information about the system.

Suggested Citation

  • Adriano Festa & Paola Goatin & Fabio Vicini, 2023. "Navigation System-Based Routing Strategies in Traffic Flows on Networks," Journal of Optimization Theory and Applications, Springer, vol. 198(3), pages 930-957, September.
    • Handle: RePEc:spr:joptap:v:198:y:2023:i:3:d:10.1007_s10957-023-02250-z
    DOI: 10.1007/s10957-023-02250-z
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    References listed on IDEAS

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    1. Hughes, R.L., 2000. "The flow of large crowds of pedestrians," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 53(4), pages 367-370.
    2. Rinaldo M. Colombo & Helge Holden, 2016. "On the Braess Paradox with Nonlinear Dynamics and Control Theory," Journal of Optimization Theory and Applications, Springer, vol. 168(1), pages 216-230, January.
    3. Samitha Samaranayake & Walid Krichene & Jack Reilly & Maria Laura Delle Monache & Paola Goatin & Alexandre Bayen, 2018. "Discrete-Time System Optimal Dynamic Traffic Assignment (SO-DTA) with Partial Control for Physical Queuing Networks," Transportation Science, INFORMS, vol. 52(4), pages 982-1001, August.
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