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Chin. Phys. B, 2013, Vol. 22(6): 060208    DOI: 10.1088/1674-1056/22/6/060208
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A new coupled-map car-following model based on a transportation supernetwork framework

Yao Jinga b, Huang Jing-Yia, Chen Guan-Rongc, Xu Wei-Shenga
a Department of Control Science and Engineering, Tongji University, Shanghai 201804, China;
b Department of Electronic and Computer Engineering, The Hong Kong University of Science and Technology, Hong Kong SAR, China;
c Department of Electronic Engineering, City University of Hong Kong, Hong Kong SAR, China
Abstract  A new car-following model is proposed by considering information from a number of preceding vehicles with inter-vehicle communication. A supernetwork architecture is first described, which has two layers: a traffic network and a communication network. The two networks interact with and depend on each other. The error dynamic system around the steady state of the model is theoretically analyzed and some nonjam criteria are derived. A simple control signal is added to the model to analyze the criteria of suppressing traffic jams. The corresponding numerical simulations confirm the correctness of the theoretical analysis. Compared with previous studies concerning coupled map models, the controlled model proposed in this paper is more reasonable and also more effective in the sense that it takes into account the formation of traffic congestion.
Keywords:  traffic flow      coupled map car-following model      inter-vehicle communication      supernetwork  
Received:  24 November 2012      Revised:  21 January 2013      Accepted manuscript online: 
PACS:  02.60.Cb (Numerical simulation; solution of equations)  
  05.20.Dd (Kinetic theory)  
  05.45.Ra (Coupled map lattices)  
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 61174158, 61034004, 91024023, and 61272271), the Special Fund from the China Postdoctoral Science Foundation (Grant No. 201104286), the China Postdoctoral Science Foundation (Grant No. 2012M510117), the Natural Science Foundation Program of Shanghai (Grant No. 12ZR1434000), the Fundamental Research Funds for the Central Universities, and the Hong Kong Research Grants Council (Grant No. GRF Grant CityU1109/12).
Corresponding Authors:  Yao Jing     E-mail:

Cite this article: 

Yao Jing, Huang Jing-Yi, Chen Guan-Rong, Xu Wei-Sheng A new coupled-map car-following model based on a transportation supernetwork framework 2013 Chin. Phys. B 22 060208

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