AN EXTENDED MACROSCOPIC MODEL FOR TRAFFIC FLOW ON A HIGHWAY WITH SLOPES

Jianzhong Chen (), Zhongke Shi, Yanmei Hu, Lei Yu and Yuan Fang
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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
Lei Yu: College of Automation, Northwestern Polytechnical University, Xi'an, Shaanxi 710072, P. R. China
Yuan Fang: College of Automation, Northwestern Polytechnical University, Xi'an, Shaanxi 710072, P. R. China

International Journal of Modern Physics C (IJMPC), 2013, vol. 24, issue 09, 1-14

Abstract: In this paper, we present an extended car-following model with consideration of the gravitational force. A new macroscopic model taking into account the slope effects is developed using the relationship between the microscopic and macroscopic variables. The proposed model is applied to reflect the effect of the slope on uniform flow, traffic waves and small perturbation. The simulation results demonstrate that both the angle and the length of the slope have important impacts on traffic flow. The effect of the slope becomes more significant with the increase of the slope angle.

Keywords: Macroscopic model; slope; traffic flow; car-following model; 89.40.-a; 45.70.Vn; 02.60.Cb (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (5)

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DOI: 10.1142/S0129183113500617

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