A second order model of road junctions in fluid models of traffic networks | Zendy

Bertrand Haut | Zendy; Georges Bastin | Zendy

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A second order model of road junctions in fluid models of traffic networks

Author(s) -

Bertrand Haut,

Georges Bastin

Publication year - 2007

Publication title -

networks and heterogeneous media

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.732

H-Index - 34

eISSN - 1556-181X

pISSN - 1556-1801

DOI - 10.3934/nhm.2007.2.227

Subject(s) - stability (learning theory) , computer science , traffic model , drop (telecommunication) , order (exchange) , point (geometry) , network model , statistical physics , traffic network , mechanics , mathematics , mathematical optimization , physics , artificial intelligence , geometry , economics , telecommunications , computer network , machine learning , finance

This article deals with the modeling of junctions in a road network from a macroscopic point of view. After reviewing the Aw & Rascle second order model, a compatible junction model is proposed. The properties of this model and particularly the stability are analyzed. It turns out that this model presents physically acceptable solutions, is able to represent the capacity drop phenomenon and can be used to simulate the traffic evolution on a network

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