Improved fluid-dynamic model for vehicular traffic

1995 Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics 188 citations

Abstract

The fluid-dynamic traffic model of Kerner and Konh\"auser [Phys. Rev. E 48, 2335 (1993); 50, 54 (1994)] is extended by an equation for the vehicles' velocity variance. It is able to describe the observed increase of velocity variance immediately before a traffic jam develops. Another modification takes into account the finite amount of space that each vehicle needs. As a consequence, the improved traffic model does not produce densities that exceed the maximum vehicle density or negative velocities, like former models did.

Keywords

Variance (accounting)PhysicsSpace (punctuation)Statistical physicsMicroscopic traffic flow modelMechanicsComputer scienceMathematicsStatisticsTraffic generation model

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Publication Info

Year
1995
Type
article
Volume
51
Issue
4
Pages
3164-3169
Citations
188
Access
Closed

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Dirk Helbing (1995). Improved fluid-dynamic model for vehicular traffic. Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics , 51 (4) , 3164-3169. https://doi.org/10.1103/physreve.51.3164

Identifiers

DOI
10.1103/physreve.51.3164