There have been two kinds of traffic flow theories presented thus far in this monograph. Chapter 2 discussed the relations among aggregated quantities of flow rate, concentration and mean speeds for stationary vehicular traffic (these relations are also referred to as the equations of state in traffic flow), and Chapter 3 described the dynamic evolution of microscopic quantities of vehicle spac...

This paper studied air traffic complexity by the theory of complex analysis. The calculation system of air traffic complexity measure and the robustness analysis of air traffic flow were proposed. When the aircraft influenced the air traffic flow complexity mostly, the flight warning system began to work. This paper discussed the theory of the monitoring and early warning based on the complexit...

Timely traffic prediction is important in advanced traffic management systems. Observing traffic flow, we find repetitive or regular behavior over time. By taking advantage of tools in frequency domain analysis, this paper proposes a new criterion function that can detect the onset of congestion. It is found that the changing rate of the cross-correlation between density dynamics and flow rate ...

We introduce a new model of traffic flow with phase transitions. The model is obtained by coupling together the classical Lighthill-Whitham-Richards (LWR) equation with the 2 × 2 system described in [A. Aw and M. Rascle, Resurrection of “second order” models of traffic flow, SIAM J. Appl. Math., 60 (2000), pp. 916–938]. We describe the solutions of the Riemann problem, and we compare the result...

Dynamic arrest is a general phenomenon across a wide range of dynamic systems including glasses, traffic flow, and dynamics in cells, but the universality of dynamic arrest phenomena remains unclear. We connect the emergence of traffic jams in a simple traffic flow model directly to the dynamic slowing down in kinetically constrained models for glasses. In kinetically constrained models, the fo...