Modeling method considering influence of sub-adjacent vehicles to traffic flow time lag car-following model stability

Abstract

The invention discloses a modeling method considering the influence of sub-adjacent vehicles to traffic flow time lag car-following model stability. The modeling method includes that a microscopic traffic flow model DOVM (as shown in the description) including reaction time lag is established; the influence of sub-adjacent vehicles to traffic flow is considered, and an optimal speed function V(Deltax<n>, Deltax<n>+1)=(1-p) U (Deltax<n>) + pU (Deltax<n>+1) is selected, the optimal speed function is obtained through measured data fitting, wherein 0<=p<1/2, and an influencing factor representing the sub-adjacent vehicles refers to U(Deltax<n>)=16.8[tanh0.0860(Deltax<n>-25)+0.913]; a new traffic flow model GDOVM is established and stability analysis is carried out, the optimal speed function is put into the microscopic traffic flow model DOVM including reaction time lag and the new traffic flow model GDOVM is obtained, and according to the critical stability conditions, the influence of the reaction time lag and the sub-adjacent vehicle influencing factors to the system stability area can be obtained.

Description

technical field [0001] The present application relates to the technical field of traffic flow control methods, in particular, to a stability modeling method of a time-delayed car-following model considering the impact of the next adjacent vehicle on traffic flow. Background technique [0002] Transportation is the lifeblood of the national economy. The modernization of the transportation system and the advancement of traffic management are one of the important symbols to measure the modernization of a country. With the development of the economy and the progress of science and technology, the rapid development of the transportation industry can not only promote the exchange of materials and people, shorten travel time, improve work efficiency, but also make important contributions to social and economic development. However, the rapid development of transportation has also brought many problems, such as: traffic congestion, traffic accidents, environmental pollution, etc., w...

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Problems solved by technology

[0007] Although the above model points out that the reaction time lag has an important influence on the car-following behavior of the vehicle, such as: the reaction time lag may lead to system instability and bifurcation phenomenon, that is to say, the above-mentioned prior art only provides a model, through The above-mentioned technologies cannot know how to solve the problem of system instability and bifurcation phenomenon. Therefore, the above-mentioned technologies do not provide a suitable solution to correct the adverse effects caused by the response time delay, thus making the model have certain advantages in practical applications. limitations

In addition, even if the existing technologies mentioned in the background technology are combined with other existing technologies, no corresponding solution can be obtained to solve the problems of system instability and bifurcation phenomenon

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