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Density waves in a lattice hydrodynamic traffic flow model with the anticipation effect |
| Zhao Min(赵敏)a)b)†, Sun Di-Hua(孙棣华)a)b), and Tian Chuan(田川)a) |
a. College of Automation, Chongqing University, Chongqing 400030, China;
b. 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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Received: 16 July 2011
Revised: 21 October 2011
Accepted manuscript online:
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PACS:
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89.40.-a
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(Transportation)
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45.70.Vn
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(Granular models of complex systems; traffic flow)
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05.70.Fh
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(Phase transitions: general studies)
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| Fund: Project supported by the Fundamental Research Funds for the Central Universities (Grant No. CDJZR11170002) and the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20090191110022). |
Corresponding Authors:
Zhao Min,min992215@163.com
E-mail: min992215@163.com
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Cite this article:
Zhao Min(赵敏), Sun Di-Hua(孙棣华), and Tian Chuan(田川) Density waves in a lattice hydrodynamic traffic flow model with the anticipation effect 2012 Chin. Phys. B 21 048901
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