We study the multiple-vehicle collision when a vehicle decelerates suddenly in a single-lane traffic flow. The extended optimal velocity model is used for the vehicular motion to take into account the relative velocity. If a vehicle slows down suddenly and the following vehicle does not...

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...

A traffic model is presented to study the segregation of cars on a multilane highway. When a fast (slow) car overtakes (is overtaken by) a slow (fast) car, the fast (slow) car shifts to the outer (inner) lane. The traffic kinetics on a multilane highway is described in terms of Boltzmann-like...

A deterministic cellular automaton model is presented to simulate the traffic jam induced by a car accident in a two-lane roadway. We study the traffic flow of the system when the translation invariance is broken by the insertion of a blockage which is induced by a car accident in the first...

We study the bus delay and the passenger behaviour on a bus route by the use of the bus route model. The time-headway model of the bus route is extended to take into account the passengers on buses. The bus delay relates with the number of passengers on buses. It is shown that the dynamical...

Counterflow of students going on all fours is investigated by experiment and simulation. The experiment is performed for the channel with open boundaries. Two types of students going to the right and to the left are taken into account. The video recordings and measurements of individual arrival...

We present a chemical-reaction model to describe the Mexican wave (La Ola) in football stadia. The spectator's action is described in terms of chemical reactions. The model is governed by three reaction rates k1,k2, and k3. We study the nonlinear waves on one- and two-dimensional lattices. The...

A two-lane traffic model is presented to investigate traffic jams induced by a car accident. The model is an extension one of the optimal velocity model taking into account lane changing in the open flow. We study the jammed states and the fine structures of jams. It is shown that there are two...