Open Access
September 2008 Circulation of car traffic in congested urban areas
Annunziata Cascone, Ciro D'Apice, Benedetto Piccoli, Luigi Rarità
Commun. Math. Sci. 6(3): 765-784 (September 2008).


The aim of this work is to understand how urban traffic behavior, especially in cases of congestion, can be improved by an accurate choice of traffic coefficients. For this, we define three cost functionals that measure average velocity, average travelling time and total flux of cars. The global optimal control problem for a complex network is difficult to solve both from analytical and numerical points of view. Thus, we focus on a simple junction with one incoming road and two outgoing roads (junctions of 1×2 type), obtaining exact solutions to a simple optimization problem. Then, we use such results at each node of the network. The traffic evolution of some networks is then studied via simulations. In particular, it is shown that an appropriate choice of the traffic distributions can be useful in order to improve network conditions.


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Annunziata Cascone. Ciro D'Apice. Benedetto Piccoli. Luigi Rarità. "Circulation of car traffic in congested urban areas." Commun. Math. Sci. 6 (3) 765 - 784, September 2008.


Published: September 2008
First available in Project Euclid: 29 September 2008

zbMATH: 1158.35386
MathSciNet: MR2455475

Primary: 35L65 , 49J20 , 76N25

Keywords: Conservation laws , optimal control , Traffic flows on road networks

Rights: Copyright © 2008 International Press of Boston

Vol.6 • No. 3 • September 2008
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