Existence and Classification of Travelling Wave Solutions to Second Order Highway Traffic Models

R. E. Wilson and P. Berg
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R. E. Wilson: University of Bristol, Department of Engineering Mathematics
P. Berg: Simon Fraser University, Pacific Institute for the Mathematical Sciences

A chapter in Traffic and Granular Flow’01, 2003, pp 85-90 from Springer

Abstract: Abstract The Bando optimal velocity model has a rich structure of wave solutions of travelling, composite and expansion types, even in the stable regime. We analyse these waves via a continuum limit which resembles the Kerner-Konhäuser PDE model, to which our analysis also applies. Geometrical properties of the fundamental diagram, in combination with global bifurcation theory of the travelling wave phase plane, lead to a complete classification of wave types which applies to several second order highway traffic models.

Keywords: Wave Solution; Uniform Flow; Optimal Velocity; Highway Traffic; Fundamental Diagram (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-662-10583-2_6

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DOI: 10.1007/978-3-662-10583-2_6

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