Macro Traffic Model Research Articles

Study on the continuous delayed optimal flow on traffic stability in a new macro traffic model

The influence of the continuous delayed optimal flow on traffic stability is studied based on a new traffic lattice hydrodynamic model in this paper. Linear analysis derives the model’s linear stable condition and it shows that the stability of traffic flow is enhanced by considering the continuous delayed optimal flow. Also the feature of the unstable traffic flow is uncovered by the solution of the mKdV equation with nonlinear analysis. Finally, numerical simulation is carried out to intuitively show the stabilization effect of the continuous delayed optimal flow on traffic flow and the continuous delayed optimal flow should be considered in traffic theory.

Research on the stabilization effect of continuous self-delayed traffic flux in macro traffic modeling

A modified macro traffic lattice hydrodynamic model is proposed by considering the continuous self-delayed traffic flux information on traffic stability. Via linear stability theory, the influence of the continuous self-delayed traffic flux on traffic stability is derived. It reveals that the stable region in the density-sensitivity space can be enlarged by taking the continuous self-delayed traffic flux into account. Furthermore, the nonlinear feature of density wave in the unstable region is studied and it is consistent with the kink-antikink solution of the mKdV equation. Also numerical simulation is conducted to further verify the analytical results and it is shown that the continuous self-delayed traffic flux information can improve the stable level of traffic flow significantly.

Research on preceding vehicle’s taillight effect and energy consumption in an extended macro traffic model

In this paper, a modified continuum model considering the vehicle’s taillight effect is presented. The high order fluid dynamics model of taillight effect is derived by means of the transformation from micro to macro. Combined with the continuous conservation equation of traffic flow, the linear and nonlinear analysis of the new macroscopic hydrodynamic model is carried out. The linear analysis proves that the model has the characteristics of heterogeneity and the stability condition of traffic flow is obtained. KdV–Burgers equations describing the qualitative characteristics of density waves are obtained by nonlinear analysis, and the corresponding density wave solutions are obtained. Numerical simulation results show that the unstable state region of the macro model with taillight effect is shrinking. In addition, the energy consumption of the model is simulated numerically, and the results show that the energy consumption of the vehicle is reduced by considering the taillight effect. Therefore, we believe that the taillight effect is beneficial to traffic flow stability and reduce energy consumption.

The difference of drivers' anticipation behaviors in a new macro model of traffic flow and numerical simulation

A valuable consideration is inserted into car-following theory to investigate the difference of drivers' anticipation. Furthermore, a fresh macro traffic model involving the difference of the drivers' anticipation is deduced from the car-following model by applying transformation relationship from micro to macro variables. And this effect resulted from the difference of the drivers' anticipation is observed via numerical simulation. The results show that the difference of drivers' anticipation has a negligible impact on traffic flow.

Transient pressure distribution in a road tunnel with a macro traffic model involved

Transient pressure distribution in a road tunnel with a macro traffic model involved

Heuristic Ant Algorithm for Road Network Traffic Coordination Control

The defects in macro traffic model research are pointed out firstly. In order to remedy these defects, traffic movements at the grid intersection were analyzed, and with the basic framework of the traffic transmission model, the new macro traffic model used in the paper for control simulation and evaluation has been proposed. Secondly, the bi-level optimization control model is proposed, using minimal delay and maximal throughput as its upper objectives, and optimal traffic coordination on both sides as the lower objective. A corresponding heuristic ant algorithm is subsequently designed to solve the control model. Finally, the proposed method is tested at a suppositional road network, under three different demand scenarios, compared with Transyt-7F. The results show that the proposed method has better performance, especially under high demand scenarios.