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A Lattice Hydrodynamic Model for Traffic Flow Accounting for Driver Anticipation Effect of the Next-Nearest-Neighbor Site
Authors:PENG Guang-Han  NIE Fang-Yan  WANG Sheng-Hui
Affiliation:1. College of Physics and Electronics, Hunan University of Arts and Science, Changde 415000, China;2. School of Computer Science and Technology, Hunan University of Arts and Science, Changde 415000, China
Abstract:
In this paper, a new lattice hydrodynamic model is proposed by incorporating the driver anticipation effect of next-nearest-neighbor site. The linear stability analysis and nonlinear analysis show that the driver anticipation effect of next-nearest-neighbor site can enlarge the stable area of traffic flow. The space can be divided into three regions: stable, metastable, and unstable. Numerical simulation further illuminates that the driver anticipation effect of the next-nearest-neighbor site can stabilize traffic flow in our modified lattice model, which is consistent with the analytical results.
Keywords:traffic flow  lattice model  driver anticipation effect  
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