A traffic flow lattice model considering relative current influence and its numerical simulation
- 1 August 2010
- journal article
- general
- Published by IOP Publishing in Chinese Physics B
- Vol. 19 (8), 080514
- https://doi.org/10.1088/1674-1056/19/8/080514
Abstract
Based on Xue's lattice model, an extended lattice model is proposed by considering the relative current information about next-nearest-neighbour sites ahead. The linear stability condition of the presented model is obtained by employing the linear stability theory. The density wave is investigated analytically with the perturbation method. The results show that the occurrence of traffic jamming transitions can be described by the kink–antikink solution of the modified Korteweg-de Vries (mKdV) equation. The simulation results are in good agreement with the analytical results, showing that the stability of traffic flow can be enhanced when the relative current of next-nearest-neighbour sites ahead is considered.This publication has 23 references indexed in Scilit:
- A new car-following model considering velocity anticipationChinese Physics B, 2010
- Multiple car-following model of traffic flow and numerical simulationChinese Physics B, 2009
- Highly sensitive room-temperature gas sensors based on hydrothermal synthesis of Cr 2 O 3 hollow nanospheresChinese Physics B, 2009
- A new car-following model with consideration of the traffic interruption probabilityChinese Physics B, 2009
- Effect of multi-velocity-direrence in traffic flowChinese Physics B, 2008
- New insights into traffic dynamics: a weighted probabilistic cellular automaton modelChinese Physics B, 2008
- Derivation, properties, and simulation of a gas-kinetic-based, nonlocal traffic modelPhysical Review E, 1999
- Kink soliton characterizing traffic congestionPhysical Review E, 1995
- Traffic jams, granular flow, and soliton selectionPhysical Review E, 1995
- Dynamical model of traffic congestion and numerical simulationPhysical Review E, 1995