The traffic flow model with optimal velocity is extended to take into account the velocity-dependent sensitivity. The dependence of the jamming transition upon the sensitivity is investigated in the extended optimal velocity model. The phase transition among the freely moving phase, the...

Jamming transitions of pedestrian traffic are investigated under the periodic boundary condition on the square lattice by the use of the lattice gas model of biased random walkers without the back step. The two cases are presented: the one with two types of walkers and the other with four types...

The lattice models of traffic are proposed to describe the jamming transition in traffic flow on a highway in terms of thermodynamic terminology of phase transitions and critical phenomena. They are the lattice versions of the hydrodynamic model of traffic. Two lattice models are presented: one...

The effect of partition line on the pedestrian counter flow is investigated under the open boundaries by using the lattice-gas model of biased random walkers. There are two types of walkers without the back step: the one is the walker going to the right and the other is the walker going to the...

We study the traffic states and jams induced by a slowdown of vehicles in a single lane highway. We use an extended one of the optimal velocity model to take into account the slowdown in a section of highway. The fundamental (flow-density) diagram is calculated. The flow (current) increases...

The nonlinear-map model is presented to investigate the dynamical behavior of an elevator. The dynamics of a busy elevator is described by a nonlinear map of the recurrence time. The fixed points of the map determine the recurrence times at a steady state. The distinct dynamical states appear by...

We study the behavior of a couple of recurrent buses on a circular route with many bus stops. The single bus model is extended to a bus-route system with a couple of recurrent buses. It is found that the conventional schedule-time phase bifurcates into three new phases: bunching, regular, and...

Pedestrian traffic at a crossing is investigated under the open boundary condition by the use of the lattice gas model of biased random walkers without the back step. The four types of walkers interact with each other at the crossing where there are random walkers going to the right, left, up,...

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...

We study the traffic jams appearing on a single-lane highway with a few slowdown sections. At low density, the flow (current) increases linearly with density, while it saturates at some values of intermediate density. In such case that some slowdown sections have the same speed limit, when the...