DOI: 10.1142/S0129183110015683 International Journal of Modern Physics C Vol. 21, No. 8 (2010) 1081–1093 c  World Scientiﬁc Publishing Company EFFECTS OF VEHICLE NUMBER FEEDBACK IN MULTI-ROUTE INTELLIGENT TRAFFIC SYSTEMS CHUANFEI DONG School of Earth and Atmospheric Sciences Georgia Institute of Technology Atlanta GA 30332, United States Department of Modern Physics and Nonlinear Science Center University of Science and Technology of China Hefei, Anhui 230026, P. R. China dcfy@gatech.edu XU MA Department of Physics, Syracuse University Syracuse NY 13244, United States Department of Modern Physics and Nonlinear Science Center University of Science and Technology of China Hefei, Anhui 230026, P. R. China BINGHONG WANG Department of Modern Physics and Nonlinear Science Center University of Science and Technology of China Hefei, Anhui 230026, P. R. China The Research Center for Complex System Science University of Shanghai for Science and Technology and Shanghai Academy of System Science Shanghai 200093, P. R. China Received 24 October 2009 Accepted 30 July 2010 We ﬁrst study dynamics of traﬃc ﬂow with real-time information and the inﬂuence of a new feedback strategy named Vehicle Number Feedback Strategy (VNFS) in a multi- route scenario in which dynamic information can be generated and displayed on the board (the board refers to a variable message sign where information on the routes is displayed) to guide road users to make a choice. In a multi-route scenario, our model incorporates the eﬀects of adaptability into the cellular automaton models of traﬃc ﬂow and simulation results adopting vehicle number feedback strategy have demonstrated high eﬃciency in controlling spatial distribution of traﬃc patterns compared with the other three information feedback strategies, i.e. Travel Time Feedback Strategy (TTFS), Mean Velocity Feedback Strategy (MVFS) and Congestion Coeﬃcient Feedback Strategy (CCFS). We also discuss the inﬂuence of expected arrival rate (Vp) at the entrance on 1081