Density waves in a lattice hydrodynamic traffic flow model with the anticipation effect |
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Authors: | Zhao Min Sun Di-Hua Tian Chuan |
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Affiliation: | 1. College of Automation, Chongqing University, Chongqing 400030, China;2. Key Laboratory of Dependable Service Computing in Cyber Physical Society (Chongqing University), Ministry of Education, Chongqing 400030, China |
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Abstract: | By introducing the traffic anticipation effect in the real world into the original lattice hydrodynamic model, we present a new anticipation effect lattice hydrodynamic (AELH) model, and obtain the linear stability condition of the model by applying the linear stability theory. Through nonlinear analysis, we derive the Burgers equation and Korteweg-de Vries (KdV) equation, to describe the propagating behaviour of traffic density waves in the stable and the metastable regions, respectively. The good agreement between simulation results and analytical results shows that the stability of traffic flow can be enhanced when the anticipation effect is considered. |
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Keywords: | traffic flow lattice hydrodynamic model density waves anticipation effect |
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