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 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...

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...

Several distinct traffic states are identified from real highway traffic data (Kerner and Rehborn, Phys. Rev. Lett. 79 (1997) 4030; Kerner and Rehborn, Phys. Rev. E 53 (1996) R4275; Kerner, Phys. Rev. Lett. 81 (1998) 3797; Kerner and Rehborn, Phys. Rev. E 53 (1996) R1297). Influence of on-ramp flux is...

We study traffic dynamics in a simple system with three open boundaries. Traffic patterns in steady states are mainly controlled by boundary conditions. There are three distinct phases in the entire parameter space. We construct a phase diagram and develop a mean-field theory to derive the phase...

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...

In this paper, phase transitions are investigated in speed gradient model with an on-ramp. Phase diagrams of traffic flow composed of manually driven vehicles and adaptive cruise control (ACC) vehicles are studied, respectively. The traffic flow composed of ACC vehicles is modeled by enhancing...

In this paper, we investigate totally asymmetric exclusion processes (TASEPs) on lattices with an m-input n-output junction in parallel update. A general theoretical solution for traffic dynamics of TASEPs with a junction is developed. More interestingly, m-input n-output junctions can be...