We study the vehicular traffic controlled by two kinds of signals which are positioned with a periodic configuration. We propose a microscopic model to explore the driving behavior in the traffic system with two kinds of signals. The control method of traffic flow by the combination of two kinds...

We study the maximal current (maximum traffic capacity) of vehicular traffic through a sequence of traffic lights on a highway, where all signals turn on and off synchronously. The dynamical model of vehicular traffic controlled by signals is expressed in terms of a nonlinear map, where the...

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 effect of continuous speedup on the dynamical behavior of a single shuttle bus. We present a nonlinear map model of a shuttle bus to take into account the continuous speedup. When the shuttle bus is delayed, the bus speeds up continuously to overcome the delay. If the shuttle bus...

We present a cellular automaton (CA) model for vehicular traffic controlled by traffic lights. The CA model is not described by a set of rules, but is given by a simple difference equation. The vehicular motion varies highly with both signals’ characteristics and vehicular density. The...

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...

The one-dimensional (1D) asymmetric simple-exclusion model with parallel update (the deterministic cellular automaton (CA) 184) is extended to take into account acceleration of cars. Velocity and acceleration are assigned to each particle (car). The acceleration of a car is determined by the...

We study the fundamental diagram for traffic flow of vehicular mixture on a multi-lane highway. We present the car-following model of multi-lane traffic in which slow and fast vehicles flow with changing lanes. We investigate the traffic states of the vehicular mixture under the periodic...

We study the traffic behavior when a vehicle changes from the first lane to the second lane on a two-lane highway. The incoming vehicle decelerates or accelerates by interacting with the vehicle ahead or behind on the second lane. We apply the extended optimal velocity model to the vehicular...

We study the dynamics of two-route bus traffic system with two buses using a bus choice scenario. The two-route bus traffic system with real-time information is not consistent with the two-route vehicular traffic system but is similar to the vehicular system. The two-route bus traffic system is...