Macroscopic urban dynamics: Analytical and numerical comparisons of existing models

Guilhem Mariotte, Ludovic Leclercq and Jorge A. Laval

Transportation Research Part B: Methodological, 2017, vol. 101, issue C, 245-267

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.

Keywords: Macroscopic modeling; Single-reservoir; Trip length; Analytical resolution; Piecewise linear functions (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (38)

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DOI: 10.1016/j.trb.2017.04.002

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