Title
A novel model for intersections of vehicular traffic flow
Abstract
This paper deals with intersections' modeling for vehicular traffic flow governed by the Lighthill & Whitham [24] and Richards [26] model. We present a straightforward reformulation of recent intersections' models, introduced in [19] and [4], using a description in terms of supply and demand functions [22, 6]. This formulation is used to state the new model which takes into account a possible storage capacity of an intersection as seen in round-abouts or highway on-ramps. We discuss the Riemann problem at the junction and present numerical simulations.
Year
DOI
Venue
2009
10.3934/nhm.2009.4.813
NETWORKS AND HETEROGENEOUS MEDIA
Keywords
Field
DocType
Traffic flow,macroscopic traffic flow models,mathematical modeling
Traffic optimization,Traffic wave,Mathematical optimization,Traffic flow,Traffic bottleneck,Traffic congestion reconstruction with Kerner's three-phase theory,Mathematics,Riemann problem
Journal
Volume
Issue
ISSN
4
4
1556-1801
Citations 
PageRank 
References 
6
0.94
0
Authors
3
Name
Order
Citations
PageRank
Michael Herty123947.31
J.-P. Lebacque260.94
Salissou Moutari3388.35