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Conference papers

Dual expression of macroscopic urban models: Analytical and numerical investigations with piecewise linear functions

Guilhem Mariotte 1 Ludovic Leclercq 1 Jorge A. Laval 1
1 LICIT UMR TE - Laboratoire d'Ingénierie Circulation Transport
Résumé : 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. This simple accumulation-based model suffers from the infinite-wave speed dropback, which is problematic when the inflow varies rapidly. To overcome this limitation, a trip-based model has been recently proposed, but whose solution cannot be obtained analytically.
Keywords : PIECEWISE LINEAR FUNCTIONS ANALYTICAL RESOLUTION TRIP LENGTH SINGLE-RESERVOIR MACROSCOPIC MODELING
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Conference papers
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https://hal.archives-ouvertes.fr/hal-01493408
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Submitted on : Tuesday, March 21, 2017 - 3:05:52 PM
Last modification on : Saturday, January 15, 2022 - 3:53:49 AM

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Guilhem Mariotte, Ludovic Leclercq, Jorge A. Laval. Dual expression of macroscopic urban models: Analytical and numerical investigations with piecewise linear functions. 96th Transportation Research Board Annual Meeting, Jan 2017, WASHINGTON, United States. 20 p. ⟨hal-01493408⟩

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