From Particle Hopping Models to Traffic Flow Theory
- 1 January 1998
- journal article
- Published by SAGE Publications in Transportation Research Record: Journal of the Transportation Research Board
- Vol. 1644 (1) , 1-9
- https://doi.org/10.3141/1644-01
Abstract
Very simple models of particles hopping on a grid appear too simple to have much similarity to traffic. Yet, some of these models can be proved to generate, in the so-called fluid-dynamical limit, variations of the Lighthill-Whitham theory. For more realistic particle hopping models, the fluid-dynamical limit is not known, but insight can be obtained by observing traffic jam dynamics.Keywords
All Related Versions
This publication has 24 references indexed in Scilit:
- Traffic and Granular FlowPublished by World Scientific Pub Co Pte Ltd ,1996
- Particle hopping models and traffic flow theoryPhysical Review E, 1996
- Gas-kinetic derivation of Navier-Stokes-like traffic equationsPhysical Review E, 1996
- Requiem for second-order fluid approximations of traffic flowTransportation Research Part B: Methodological, 1995
- Dynamical model of traffic congestion and numerical simulationPhysical Review E, 1995
- The cell transmission model: A dynamic representation of highway traffic consistent with the hydrodynamic theoryTransportation Research Part B: Methodological, 1994
- Structure and parameters of clusters in traffic flowPhysical Review E, 1994
- Large Scale Dynamics of Interacting ParticlesPublished by Springer Nature ,1991
- A Two-Fluid Approach to Town TrafficScience, 1979
- The Nonlinear Diffusion EquationPublished by Springer Nature ,1974