4.6 Article

A first order model in traffic flow

Journal

PHYSICA D-NONLINEAR PHENOMENA
Volume 228, Issue 2, Pages 153-158

Publisher

ELSEVIER SCIENCE BV
DOI: 10.1016/j.physd.2007.03.003

Keywords

Burgers equation; traffic flow

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The Burgers equation has been considered in a phenomenological way to describe some characteristics of traffic flow. With a special model for the desired velocity of drivers, we have derived it from the Reduced Paveri-Fontana equation by means of the maximization of the informational entropy and an approximation method which introduces a relaxation time associated to the collective behaviour. (C) 2007 Elsevier B.V. All rights reserved.

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