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June  2014, 7(3): i-ii. doi: 10.3934/dcdss.2014.7.3i

Traffic modeling and management: Trends and perspectives

Alexandre Bayen 1, , Rinaldo M. Colombo 2, , Paola Goatin 3, and  Benedetto Piccoli 4,

1. 

Electrical Engineering and Computer Science, Civil and Environmental Engineering, UC Berkeley, United States
2. 

INDAM Unit, University of Brescia, Brescia, Italy
3. 

OPALE Project-Team, Inria Sophia Antipolis - Méditerranée, Sophia Antipolis, France
4. 

Department of Mathematics, Rutgers University, Camden, New Jersey, United States

Published  January 2014

The present issue of Discrete and Continuous Dynamical Systems -- Series S is devoted to Traffic Modeling and Management. This subject dramatically developed in recent years. On one hand, the successes of the analytical theory of conservation laws have provided new tools to traffic researchers while, on the other hand, the requirements coming from the applications have grown dramatically. Remarkably, two of the papers that opened the way to this decades long development date the same year. In 1995 ``The Unique Limit of the Glimm Scheme'' by A. Bressan (Archive for Rational Mechanics and Analysis, 130, 3, 205--230) gave a basis for several well posedness results for 1D systems of conservation laws. In the same year, ``Requiem for High-Order Fluid Approximations of Traffic Flow'' by C. Daganzo (Transportation Research Part B: Methodological, 29B, 4, 277--287) posed serious criticisms to models studied at that time and started to fix minimal requirements for a traffic model to be seriously considered.

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Citation: Alexandre Bayen, Rinaldo M. Colombo, Paola Goatin, Benedetto Piccoli. Traffic modeling and management: Trends and perspectives. Discrete and Continuous Dynamical Systems - S, 2014, 7 (3) : i-ii. doi: 10.3934/dcdss.2014.7.3i
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