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Macroscopic urban dynamics: Analytical and numerical comparisons of existing models

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  • Mariotte, Guilhem
  • Leclercq, Ludovic
  • Laval, Jorge A.

Abstract

Large-scale network modeling using the Macroscopic Fundamental Diagram (MFD) is widely based on the single-reservoir model, where the variation of the accumulation of circulating vehicles in the reservoir equals inflow minus outflow. However, inconsistent lags for information propagation between boundaries may be observed with this single accumulation-based model. For example, outflow is reacting too fast when inflow varies rapidly, whereas this information should be carried by vehicles that are never driving faster than the free-flow speed. To overcome this limitation, a trip-based model has been recently proposed, but whose solution cannot be obtained analytically.

Suggested Citation

  • Mariotte, Guilhem & Leclercq, Ludovic & Laval, Jorge A., 2017. "Macroscopic urban dynamics: Analytical and numerical comparisons of existing models," Transportation Research Part B: Methodological, Elsevier, vol. 101(C), pages 245-267.
    • Handle: RePEc:eee:transb:v:101:y:2017:i:c:p:245-267
    DOI: 10.1016/j.trb.2017.04.002
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    References listed on IDEAS

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