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Mathematical Problems in Engineering
Volume 2015, Article ID 960630, 6 pages
Research Article

A New Macro Model Considering the Average Speed of Preceding Vehicles Group in CPS Environment

1Key Laboratory of Dependable Service Computing in Cyber Physical Society (Chongqing University), Ministry of Education, Chongqing 400030, China
2College of Automation, Chongqing University, Chongqing 400030, China
3School of Computer Science, Guangxi University of Science and Technology, Liuzhou, Guangxi 545006, China

Received 14 December 2014; Accepted 6 February 2015

Academic Editor: Maria Gandarias

Copyright © 2015 Yi-rong Kang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


A new car following model considering the effect of average speed information of preceding vehicles group in real traffic is presented. Based on the new car following model, a new macro model for traffic flow is proposed employing the relationship between the micro and macro variables. The linear stability condition of the macro model is obtained by using the linear stability theory. The numerical tests show that the new model can not only simulate the dynamic process of shock, rarefaction wave, and small perturbation, but also can further stabilize the traffic flow.