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Chin. Phys. B, 2014, Vol. 23(5): 050203    DOI: 10.1088/1674-1056/23/5/050203
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A new coupled map car-following model considering drivers’ steady desired speed

Zhou Tonga b, Sun Di-Huaa b, Li Hua-Mina b, Liu Wei-Ningb c
a College of Automation, Chongqing University, Chongqing 400030, China;
b Key Laboratory of Dependable Service Computing in Cyber Physical Society of Ministry of Education, Chongqing University, Chongqing 400044, China;
c College of Computer Science, Chongqing University, Chongqing 400030, China
Abstract  Based on the pioneering work of Konishi et al., in consideration of the influence of drivers' steady desired speed effect on the traffic flow, we develop a new coupled map car-following model in the real world. By use of the control theory, the stability condition of our model is derived. The validity of the present theoretical scheme is verified via numerical simulation, confirming the correctness of our theoretical analysis.
Keywords:  traffic flow      traffic congestion      coupled map car-following model      steady desired speed effect  
Received:  11 September 2013      Revised:  28 October 2013      Accepted manuscript online: 
PACS:  02.60.Cb (Numerical simulation; solution of equations)  
  05.20.Dd (Kinetic theory)  
  05.45.Ra (Coupled map lattices)  
  89.04.-a  
Fund: Project supported by the Major Consulting Project of Chinese Academy of Engineering (Grant No. 2012-ZX-22), the National Natural Science Foundation of China (Grant No. 71201178), the Natural Science Foundation of Chongqing City, China (Grant No. cstc2012jjB40002), the Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20120191110047), the Engineering Center Research Program of Chongqing City, China (Grant No. cstc2011pt-gc30005), and the Key Technology R&D Project of Chongqing City, China (Grant Nos. cstc2011AB2052 and cstc2012gg-yyjsB30001).
Corresponding Authors:  Sun Di-Hua     E-mail:  d3sun@163.com
About author:  02.60.Cb; 05.20.Dd; 05.45.Ra; 89.04.-a

Cite this article: 

Zhou Tong, Sun Di-Hua, Li Hua-Min, Liu Wei-Ning A new coupled map car-following model considering drivers’ steady desired speed 2014 Chin. Phys. B 23 050203

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