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Numerical algorithms for simulations of a traffic model on road networks

โœ Scribed by G. Bretti; R. Natalini; B. Piccoli

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
158 KB
Volume
210
Category
Article
ISSN
0377-0427

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โœฆ Synopsis

We introduce a simulation algorithm based on a fluid-dynamic model for traffic flows on road networks, which are considered as graphs composed by arcs that meet at some junctions. The approximation of scalar conservation laws along arcs is made by three velocities Kinetic schemes with suitable boundary conditions at junctions. Here we describe the algorithm and we give an example.

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## Abstract This paper considers the problem of the competition among a finite number of players who must transport the fixed volume of traffic on a simple network over a prescribed planning horizon. Each player attempts to minimize his total transportation cost by making simultaneous decisions of