The merging flow model without a bottleneck is presented to mimic the pedestrian channel flow with a meeting point. Two channel flows in front of the meeting point interact one another when the exit density is higher than the maximal-current density. The distinct phase transition occurs by...

We study the traffic congestion and dispersion of vehicles occurring on a single lane highway in Hurricane evacuation. The traffic congestion depends on both sensitivity and speed of the leading vehicle. When the leading vehicle moves with low speed, the vehicular traffic exhibits the stop and...

We study the traffic states and jamming transitions induced by a bus (slow car) in a two-lane traffic of cars. We use the dynamic model which is an extended one of the optimal velocity model to take into account the lane changing. The fundamental (flow-density) diagram is presented. The...

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 car following models are extended to take into account the characteristics of different vehicles. The characteristic of each car can be included in the parameter of the dimensionless delay time. The traffic behavior is investigated, analytically and numerically, under the periodic boundary...

We study the jamming transitions induced by a slow vehicle in a single-lane vehicular traffic. We use the dynamic model in which the normal vehicle allows to pass the slow vehicle just behind it with a probability. The fundamental diagram (flow density) changes highly by introducing a slow...

We study the transformation of a traveling jam with the pulse form in the single-lane traffic flow by using the optimal velocity model. The jam propagates with changing the initial form. It is shown that the pulse jam at the initial stage changes to the three types of nonlinear waves, appearing...

We study the dynamical behavior of N trams which move around the tram stops on a cyclic route repeatedly. We present the dynamical model for the cyclic trams. When a tram catches another tram, the tram restarts after delay time Tmin and keeps the minimal time headway Tmin. The distinct dynamical...

A multi-phase traffic model is presented to take into account the complex motion of vehicles. The multi-phase model is one of the extended optimal velocity model. The optimal velocity (OV) function is modified to have multi turning points. The original OV model with a single turning point...

We study the dynamical behavior of shuttle buses on a route where N buses (N⩾2) shuttle between a starting point and a destination without passing. We present the dynamical model of N shuttle buses to take into account the interactions between buses and passengers. The model is described in...