Using nonlinear stability theory in macroscopic traffic flow model, we proposed a new equilibrium function starting from the existing equilibrium functions. The kinematic wave velocity at jam density yielded by this equilibrium function is consistent with the empirical value, and this...

In this paper, we use a two-lane CA traffic model to simulate the multi-way traffic flow. A kind of control signal that can be considered as a perturbation is designated at a given site (i.e., signal point) of the right lane. Under the effect of control signal, the velocity of vehicle passing...

The traffic states are investigated for the noisy traffic flow in the presence of a bottleneck under the open boundary condition. The phase diagrams of the different kinds of congested traffic are presented for different values of sensitivity (the inverse of delay time). It is shown that the...

We study the traffic flow controlled by traffic lights on a single-lane roadway by using the optimal velocity model. The characteristic of traffic flow is clarified for the three different strategies of traffic light control: the simple synchronized, green wave, and random switching strategies....

The jamming transition from the free traffic to the oscillatory traffic is investigated with the unidirectionally coupled map lattice model which has the hyperbolic tangent local map. Spatio-temporal structures in the jamming transition are found with the use of numerical simulation. The traffic...

Clever assignments of link weights are able to change communication routes in such a way that loads are distributed almost evenly across a network. This is achieved by weight assignments based on the link load. As demonstrated for scale-free as well as synthetic Internet networks, they...

In this paper, we use the speed-gradient (SG) model proposed by Jiang et al. [Transportation Research Part B, 36 (2002) 405–419] to study the initial value problem of traffic flow. The evolution of multi-traffic waves is examined through setting piecewise continuous initial density. Numerical...

The jams in the congested traffic reveal various density waves. Some of them are described by the nonlinear wave equations: the Korteweg–de-Vries (KdV) equation, the Burgers equation and the modified KdV equation. An extended car following model are proposed in previous work, and the...

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 study the relation between the energy consumption and the stability in several typical car-following traffic models considering the effects of many-neighbor and non-locality and relative velocity, respectively. The comparison of energy consumption with respect to the stable...