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Two velocity difference model for a car following theory
In the light of the optimal velocity model, a two velocity difference model for a car-following theory is put forward considering navigation in modern traffic. To our knowledge, the model is anExpand
Stabilization analysis and modified Korteweg-de Vries equation in a cooperative driving system.
TLDR
Two lattice traffic models are proposed by incorporating a cooperative driving system and the results show that considering more than one site ahead in vehicle motion leads to the stabilization of the system. Expand
Stabilization effect of traffic flow in an extended car-following model based on an intelligent transportation system application.
TLDR
From the simulation of space-time evolution of the vehicle headway, it is shown that the traffic jam is suppressed efficiently with taking into account the information about the motion of more vehicles in front, and the analytical result is consonant with the simulation one. Expand
KdV and kink–antikink solitons in car-following models
The jams in the congested traffic are related with various density waves, which might be governed by the nonlinear wave equations, such as the Korteweg–de-Vries (KdV) equation, the Burgers equationExpand
An extended car-following model based on intelligent transportation system application
Abstract The jams in the congested traffic reveal various density waves. Some of them are described by the nonlinear wave equations: the Korteweg–de-Vries (KdV) equation, the Burgers equation and theExpand
TDGL and mKdV equations for car-following model considering driver’s anticipation
Car-following models are proposed to describe the jamming transition in traffic flow on a highway. In this paper, a new car-following model considering the driver’s forecast effect is investigated toExpand
The “backward looking” effect in the lattice hydrodynamic model
The novel lattice hydrodynamic model is presented by incorporating the “backward looking” effect. The stability condition for the the model is obtained using the linear stability theory. The resultExpand
The theoretical analysis of the lattice hydrodynamic models for traffic flow theory
The lattice hydrodynamic model is not only a simplified version of the macroscopic hydrodynamic model, but also connected with the microscopic car following model closely. The modified Korteweg–deExpand
A modified coupled map car following model and its traffic congestion analysis
TLDR
The modified coupled map car following model is proposed and the corresponding numerical simulation results show that the temporal behavior obtained by the model is better than that by KKH model. Expand
Effect of looking backward on traffic flow in a cooperative driving car following model
TLDR
The results show that anticipating the behavior of vehicles preceding and following one vehicle could lead to appreciable stabilization of traffic system and the traffic jam could be suppressed efficiently via taking into account the information about the motion of two preceding vehicles and one following vehicle. Expand
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