A kinetic model for vehicular traffic derived from a stochastic microscopic model
Open Access
- 1 November 1996
- journal article
- research article
- Published by Taylor & Francis in Transport Theory and Statistical Physics
- Vol. 25 (7) , 785-798
- https://doi.org/10.1080/00411459608203547
Abstract
A way to derive consistently kinetic models for vehicular traffic from microscopic follow the leader models is presented. The obtained class of kinetic equations is investigated. Explicit examples for kinetic models are developed with a particular emphasis on obtaining models that give realistic results. For space homogeneous traffic flow situations numerical examples are given including stationary distributions and fundamental diagrams.Keywords
This publication has 10 references indexed in Scilit:
- Discrete stochastic models for traffic flowPhysical Review E, 1995
- Structure and parameters of clusters in traffic flowPhysical Review E, 1994
- Microscopic traffic modeling on parallel high performance computersParallel Computing, 1994
- Verkehrsablauf auf Fernstraßen: Autofahren als Beispiel für nichtlineare DynamikPhysikalische Blätter, 1991
- The Boltzmann Equation and Its ApplicationsPublished by Springer Nature ,1988
- Statistical Thermodynamics of Nonequilibrium ProcessesPublished by Springer Nature ,1987
- On the Kinetic Theory of Traffic Flow in the Case of a Nonnegligible Number of Queueing VehiclesTransportation Science, 1978
- On Boltzmann-like treatments for traffic flow: A critical review of the basic model and an alternative proposal for dilute traffic analysisTransportation Research, 1975
- Nonlinear Follow-the-Leader Models of Traffic FlowOperations Research, 1961
- A Boltzmann-Like Approach for Traffic FlowOperations Research, 1960