A mean-field model is presented to mimic the pedestrian channel flow with a bottleneck. The pedestrian flow is described by the mean-field rate equation on the square lattice. The dynamical transition from the free flow to the choking flow is studied by carrying out a numerical simulation for...

We study the dynamical behavior of vehicles moving with fluctuating speed through a sequence of traffic lights which are controlled by the synchronized strategy. The dynamics of fluctuating vehicular traffic controlled by traffic lights is described in terms of the stochastic nonlinear map. We...

We study the dispersion of vehicles induced by a noise on a single-lane highway under the open boundary. We present the time headway model (continuous-in time and integer-in space model) taking into account velocity fluctuation, where vehicles are updated sequentially. The characteristics of...

Crowd flow going outside a hall is investigated by using the lattice–gas model of pedestrian flow. Some different dynamical states are distinguished for the crowd flow. It is shown that a dynamical phase transition occurs from the choking flow to the decaying flow at a critical time tc. In the...

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...

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 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...

Pedestrian channel flow at a bottleneck is investigated under the open boundaries by using the lattice-gas model of biased random walkers. It is shown that a dynamical phase transition occurs from the free flow to the choking flow at a critical density pc with increasing density. The flow rate...

We study the dynamical behavior of vehicular traffic through a sequence of traffic lights positioned self-similarly on a highway, where all traffic lights turn on and off simultaneously with cycle time Ts. The signals are positioned self-similarly by Cantor set. The nonlinear-map model of...

Pedestrian flow is investigated under the open boundaries in a T-shaped channel where the branch flow joins the main flow at the junction. The pedestrian merging flow is simulated by the use of the lattice-gas model of biased random walkers. When the main flow rate increases under the constant...