Analyses of self-stabilizing control strategy effect in macroscopic traffic model by utilizing historical velocity data.

Highlights • Good performance of self-stabilizing effect on macroscopic traffic flow. • Avoiding the demand for real-time communication and data accuracy. • Relieving traffic congestion in theoretical derivation and simulation experiments. • Reducing the harm caused by the fuel consumption and emissions to the environment. Abstract In recent years, more and more scholars tend to use vehicle information to achieve traffic flow stability in the study of micro traffic flow. Any change of the micro-control mode can also have an important impact on macro traffic flow. In order to study the effect of self-stabilizing on macroscopic traffic flow, a new continuum traffic flow model is proposed in this paper. By utilizing the historical speed of each vehicle itself, we discuss the stability of macro traffic flow to clarify the impact of the self-stabilizing control strategy of historical speed on the macro traffic flow. Through both linear and nonlinear analysis, it is found that the self-stabilizing control effect can play a significant stabilizing role on macro traffic flow which can be proved by simulations. In addition, we also investigated the impact of the speed self-stabilizing control mode on other properties of macro traffic flow such as shock-wave propagation patterns with such good performance in the simulation. Meanwhile, we discuss the fuel consumption and emissions carried out by the self-stabilizing control strategy effect. It indicates that the self-stabilizing control strategy in macroscopic traffic flow not only can ease the traffic congestion but also can reduce the harm caused by the fuel consumption and emissions to the environment. [ABSTRACT FROM AUTHOR]