A Macro-Kinetic Hybrid Model for Traffic Flowon Road Networks

M. Herty, S. Moutari

Research output: Contribution to journalArticlepeer-review

12 Citations (Scopus)
27 Downloads (Pure)


We have developed a new hybrid model for an heterogeneous traffic flow, based on a coupling of the Lighthill — Whitham [23] and Richards [27] (LWR) macroscopic model and the kinetic model introduced in [21]. On the highways of a road network, we consider the macroscopic description of the traffic flow and switch to the kinetic model to compute the mass flux through a junction. This new model reproduces the capacity drop phenomenon at a merge junction, for instance, without imposing any priority rule. We present some numerical simulations in which we compare the results of the hybrid model with those given by the fully macroscopic model. Furthermore, we illustrate the consequences of the velocity distribution on the flow through a merging junction.

Original languageEnglish
Pages (from-to)238-252
Number of pages15
JournalComputational Methods in Applied Mathematics
Issue number3
Publication statusPublished - 09 Jan 2009

Bibliographical note

Copyright 2017 Elsevier B.V., All rights reserved.


  • hybrid model
  • kinetic model
  • macroscopic model
  • traffic flow

ASJC Scopus subject areas

  • Numerical Analysis
  • Computational Mathematics
  • Applied Mathematics


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