Traffic Modeling and Management: Trends and Perspectives

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 conservationlaws have provided new tools to traffic researchers while, on the otherhand, the requirements coming from the applications have growndramatically. Remarkably, two of the papers that opened the way tothis decades long development date the same year. In 1995 ``The  Unique Limit of the Glimm Scheme'' by A. Bressan (Archive forRational Mechanics and Analysis, 130, 3, 205--230) gave a basis forseveral well posedness results for 1D systems of conservation laws. Inthe 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 modelsstudied at that time and started to fix minimal requirements for atraffic model to be seriously considered.For more information please click the “Full Text” above.