A new lattice hydrodynamic traffic flow model with a consideration of multi-anticipation effect |
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Authors: | Tian Chuan Sun Di-Hua and Yang Shu-Hong |
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Institution: | College of Automation, Chongqing University, Chongqing 400030, China; College of Computer, Chongqing University, Chongqing 400030, China |
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Abstract: | We present a new multi-anticipation lattice hydrodynamic model based on the traffic anticipation effect in the real world. Applying the linear stability theory, we obtain the linear stability condition of the model. Through nonlinear analysis, we derive the modified Korteweg-de Vries equation to describe the propagating behaviour of a traffic density wave near the critical point. The good agreement between the simulation results and the analytical results shows that the stability of traffic flow can be enhanced when the multi-anticipation effect is considered. |
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Keywords: | traffic flow lattice hydrodynamic model simulation |
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