Chin. Phys. B, 2014, Vol. 23(3): 030507    DOI: 10.1088/1674-1056/23/3/030507
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# A control method applied to mixed traffic flow for the coupled-map car-following model

Cheng Rong-Jun (程荣军)a, Han Xiang-Lin (韩祥临)b, Lo Siu-Ming (卢兆明)c, Ge Hong-Xia (葛红霞)d
a Department of Fundamental Course, Ningbo Institute of Technology, Zhejiang University, Ningbo 315100, China;
b School of Science, Huzhou Teachers College, Huzhou 313000, China;
c Department of Civil and Architectural Engineering, City University of Hong Kong, Kowloon, China;
d Faculty of Maritime and Transportation, Ningbo University, Ningbo 315211, China
Abstract  In light of previous work [Phys. Rev. E 60 4000 (1999)], a modified coupled-map car-following model is proposed by considering the headways of two successive vehicles in front of a considered vehicle described by the optimal velocity function. The non-jam conditions are given on the basis of control theory. Through simulation, we find that our model can exhibit a better effect as p=0.65, which is a parameter in the optimal velocity function. The control scheme, which was proposed by Zhao and Gao, is introduced into the modified model and the feedback gain range is determined. In addition, a modified control method is applied to a mixed traffic system that consists of two types of vehicle. The range of gains is also obtained by theoretical analysis. Comparisons between our method and that of Zhao and Gao are carried out, and the corresponding numerical simulation results demonstrate that the temporal behavior of traffic flow obtained using our method is better than that proposed by Zhao and Gao in mixed traffic systems.
Keywords:  traffic flow      coupled-map car-following model      optimal velocity function      feedback control scheme system
Received:  09 August 2013      Revised:  18 September 2013      Accepted manuscript online:
 PACS: 05.60.-k (Transport processes) 05.65.+k 11.90.+t (Other topics in general theory of fields and particles)
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11372166, 11372147, 61074142, and 11072117), the Scientific Research Fund of Zhejiang Province, China (Grant No. LY13A010005), the Disciplinary Project of Ningbo City, China (Grant No. SZXL1067), the K. C. Wong Magna Fund in Ningbo University, China, and the Government of the Hong Kong Administrative Region, China (Grant No. 119011).
Corresponding Authors:  Ge Hong-Xia     E-mail:  gehongxia@nbu.edu.cn