PERTURBATION AND STABILITY ANALYSIS OF THE MULTI-ANTICIPATIVE INTELLIGENT DRIVER MODEL

Xi-Qun Chen (), Wei-Jun Xie (), Jing Shi () and Qi-Xin Shi ()
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Xi-Qun Chen: Department of Civil Engineering, Tsinghua University, Beijing 100084, China
Wei-Jun Xie: Department of Civil Engineering, Tsinghua University, Beijing 100084, China
Jing Shi: Department of Civil Engineering, Tsinghua University, Beijing 100084, China
Qi-Xin Shi: Department of Civil Engineering, Tsinghua University, Beijing 100084, China

International Journal of Modern Physics C (IJMPC), 2010, vol. 21, issue 05, 647-668

Abstract: This paper discusses three kinds of IDM car-following models that consider both the multi-anticipative behaviors and the reaction delays of drivers. Here, the multi-anticipation comes from two ways:(1) the driver is capable of evaluating the dynamics of several preceding vehicles, and(2) the autonomous vehicles can obtain the velocity and distance information of several preceding vehicles via inter-vehicle communications.In this paper, we study the stability of homogeneous traffic flow. The linear stability analysis indicates that the stable region will generally be enlarged by the multi-anticipative behaviors and reduced by the reaction delays. The temporal amplification and the spatial divergence of velocities for local perturbation are also studied, where the results further prove this conclusion. Simulation results also show that the multi-anticipative behaviors near the bottleneck will lead to a quicker backwards propagation of oscillations.

Keywords: Traffic flow; multi-anticipative car-following; intelligent driver model (IDM); linear stability analysis; 11.25.Hf; 123.1K (search for similar items in EconPapers)
Date: 2010
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DOI: 10.1142/S0129183110015397

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