Journal
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
Volume 69, Issue 3, Pages 950-970Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.na.2008.02.123
Keywords
intelligent transportation system; density; congestion; dynamical system; macroscopic models; microscopic models
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After reviewing a variety of macroscopic models based on the continuum approach, cellular automata models, models based on the kinetic theory of gases as well as microscopic models, and delineating their usefulness and deficiencies, we present a model based on a discrete system of dynamical systems. We evaluate the efficacy of the model by comparing the predictions of the model with real time data from monitoring facilities on a highway in Austin, Texas. (C) 2008 Published by Elsevier Ltd.
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