STABILIZATION ANALYSIS OF A MULTIPLE LOOK-AHEAD MODEL WITH DRIVER REACTION DELAYS

Jianzhong Chen (), Zhongke Shi and Yanmei Hu
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Jianzhong Chen: College of Automation, Northwestern Polytechnical University, Xi'an, Shaanxi 710072, P. R. China
Zhongke Shi: College of Automation, Northwestern Polytechnical University, Xi'an, Shaanxi 710072, P. R. China
Yanmei Hu: College of Science, Chang'an University, Xi'an, Shaanxi 710064, P. R. China

International Journal of Modern Physics C (IJMPC), 2012, vol. 23, issue 06, 1-16

Abstract: A multiple look-ahead model is extended to take into account the reaction-time delay of drivers. The stability condition of this model is obtained by using the linear stability theory. Through nonlinear analysis, the Korteweg–de Vries (KdV) equation near the neutral stability line and the modified KdV (mKdV) equation near the critical point are derived. Both the analytical and simulation results demonstrate that the stabilization of traffic flow is weakened with increasing the reaction-time delay of drivers, and multiple look-ahead consideration could partially remedy this unfavorable effect.

Keywords: Multiple look-ahead model; driver reaction delays; traffic flow; stability analysis; density wave; 02.60.Cb; 05.70.Fh; 05.70.Jk; 89.40.-a (search for similar items in EconPapers)
Date: 2012
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Citations: View citations in EconPapers (3)

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DOI: 10.1142/S0129183112500489

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