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...

It has been recently shown that a macroscopic fundamental diagram (MFD) linking space-mean network flow, density and speed exists in the urban transportation networks under some conditions. An MFD is further well defined if the network is homogeneous with links of similar properties. This...

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...

We investigate a traffic-flow problem in a network of city roads. The network of city roads is assumed to be a square lattice with a decorated site on each bond; a car may locate at a usual lattice site or at a decorated site. We extend a traffic-flow model proposed by Cuesta et al. (Phys. Rev. E...

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...

We propose a cellular automaton (CA) model for traffic flow which is second order in time. The model is derived from the modified Korteweg–de Vries (MKdV) equation by use of the ‘ultra-discretization method’ (UDM) proposed by Tokihiro et al. (Phys. Rev. Lett. 76, (1996) 3247). This result...

This report presents the findings of its investigation into deployment sequences to better understand the paths that could be taken from today's driving environment to vehicle-highway automation. One of the most vexing problems has always been that of determining how to advance from the...