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Two-dimensional macroscopic model for large scale traffic networks

Author

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  • Mollier, Stéphane
  • Delle Monache, Maria Laura
  • Canudas-de-Wit, Carlos
  • Seibold, Benjamin

Abstract

In this article we introduce a new traffic flow model for a dense urban area. We consider a two-dimensional conservation law in which the velocity magnitude is given by the fundamental diagram and the velocity direction is constructed following the network geometry and assuming we do not have precise information of drivers trajectories. We validate the model using synthetic data from Aimsun and propose a reconstruction technique to recover the 2D density from the data of individual vehicles. A comparison between the model and the data is shown.

Suggested Citation

  • Mollier, Stéphane & Delle Monache, Maria Laura & Canudas-de-Wit, Carlos & Seibold, Benjamin, 2019. "Two-dimensional macroscopic model for large scale traffic networks," Transportation Research Part B: Methodological, Elsevier, vol. 122(C), pages 309-326.
    • Handle: RePEc:eee:transb:v:122:y:2019:i:c:p:309-326
    DOI: 10.1016/j.trb.2019.02.016
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    References listed on IDEAS

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    1. Tumash, Liudmila & Canudas-de-Wit, Carlos & Delle Monache, Maria Laura, 2022. "Multi-directional continuous traffic model for large-scale urban networks," Transportation Research Part B: Methodological, Elsevier, vol. 158(C), pages 374-402.
    2. Mariotte, Guilhem & Leclercq, Ludovic & Batista, S.F.A. & Krug, Jean & Paipuri, Mahendra, 2020. "Calibration and validation of multi-reservoir MFD models: A case study in Lyon," Transportation Research Part B: Methodological, Elsevier, vol. 136(C), pages 62-86.

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