Multiclass first-order traffic model using stochastic fundamental diagrams
- 1 March 2011
- journal article
- research article
- Published by Taylor & Francis in Transportmetrica
- Vol. 7 (2), 111-125
- https://doi.org/10.1080/18128600903251334
Abstract
The first-order continuum traffic model has been extensively studied in the state-of-the-art of traffic flow theory due to its simplicity and capability to represent many real traffic problems, such as a shock-wave formation. Furthermore, recent extension of the first-order model to multiclass traffic dynamics has revealed some interesting non-linear traffic phenomena such as hysteresis and capacity drop. However, most of the existing first-order continuum models do not display the widely scattered flow–density relationship. We argue in this article that the widely scattered flow–density relationship might be caused by the random variations in driving behaviour. It is shown that both of the hysteresis transitions and the wide scattering can be reproduced by a multiclass first-order model with a stochastic setting in the model parameters. The simulation results support our findings and are in good agreement with the real data.Keywords
This publication has 22 references indexed in Scilit:
- Multiclass first-order modelling of traffic networks using discontinuous flow-density relationshipsTransportmetrica, 2010
- Understanding widely scattered traffic flows, the capacity drop, and platoons as effects of variance-driven time gapsPhysical Review E, 2006
- Hyperbolicity and kinematic waves of a class of multi-population partial differential equationsEuropean Journal of Applied Mathematics, 2006
- An $n$ -populations model for traffic flowEuropean Journal of Applied Mathematics, 2003
- Synchronized traffic flow from a modified Lighthill-Whitman modelPhysical Review E, 2000
- Investigation of Some Characteristics of Congested FlowTransportation Research Record: Journal of the Transportation Research Board, 1999
- Macroscopic simulation of widely scattered synchronized traffic statesJournal of Physics A: General Physics, 1999
- Metastable states in a microscopic model of traffic flowPhysical Review E, 1997
- Assessment of Roadway Capacity Estimation MethodsTransportation Research Record: Journal of the Transportation Research Board, 1997
- Dynamical model of traffic congestion and numerical simulationPhysical Review E, 1995