A power-law model of traffic is proposed to extend the optimal velocity model of traffic. The phase transition and critical phenomenon are investigated by computer simulation. It is shown that the phase transition among the freely moving phase, the coexisting phase, and the homogeneous congested...

Cooperation in merging is introduced by adding interactions between pairs of vehicles in opposite lanes. Simulations with an improved version of the modified optimal velocity model are done for two lanes merging into a single lane. For ∼30s prior to reaching the merge region, vehicles in both...

The optimal velocity traffic model is generalized to the power-law type of the optimal velocity. The phase transition among the freely moving phase, the coexisting phase, and the homogeneous congested phase is investigated by computer simulation and the linear stability theory. Phase diagrams...

A lattice gas model with biased random walkers is presented to mimic the pedestrian counter flow in a channel under the open boundary condition of constant density. There are two types of walkers without the back step: the one is the random walker going to the right and the other is the random...

A kinetic clustering of cars is analyzed using a limiting procedure and a reductive perturbation method. By using the limiting procedure, the difference–difference equation to describe the clustering is obtained. We derive the coarse-grained equation describing the hydrodynamic mode, using the...

In this paper we study the congested patterns upstream of an isolated on-ramp in a cellular automaton traffic flow model, which is proposed in our previous paper [Cheng-Jie Jin, Wei Wang, Rui Jiang, Kun Gao, J. Stat. Mech (2010) P03018]. The simulation results under open boundary conditions are...

In this paper, we present a new macro model which involves the effects that the probability of traffic interruption has on the car-following behavior through formulating the inner relationship between micro and macro variables. Linear stability analysis shows that consideration of the traffic...

A new cellular automaton (CA) model based on brake light rules is proposed, which considers the influence of deterministic deceleration on randomization probability and deceleration extent. To describe the synchronized flow phase of Kerner’s three-phase theory in accordance with empirical...

We obtain an approximated expression for steady state distance headway that takes into account all the physical processes involved in real braking. This simple approximated formula gives a good description of the empirical data. The peculiarity of this approximation is that at small vehicle...

Considered the effect of traffic anticipation in the real world, a new anticipation driving car following model (AD-CF) was proposed by Zheng et al. Based on AD-CF model, adopted an asymptotic approximation between the headway and density, a new continuum model is presented in this paper. The...