Journal
NONLINEAR DYNAMICS
Volume 67, Issue 3, Pages 1811-1815Publisher
SPRINGER
DOI: 10.1007/s11071-011-0107-2
Keywords
Traffic flow; Lattice model; Driver's memory; Simulation
Categories
Funding
- Chinese Ministry of Education [211123]
- Hunan Provincial Education Department, China [10B072]
- Doctor Scientific Research Startup Project Foundation of Hunan University of Arts and Science, China [BSQD1010]
- Scientific Research Foundation of Hunan University of Arts and Science, China [JJZD0902]
- Fund of the 11th Five-year Plan for Key Construction Academic Subject of Hunan Province, China
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A new lattice model of traffic flow based on Nagatani's model is proposed by taking the effect of driver's memory into account. The linear stability condition of the extended model is obtained by using the linear stability theory. The analytical results show that the stabile area of the new model is larger than that of the original lattice hydrodynamic model by adjusting the driver's memory intensity parameter p of the past information in the system. The modified KdV equation near the critical point is derived to describe the traffic jam by nonlinear analysis, and the phase space could be divided into three regions: the stability region, the metastable region, and the unstable region, respectively. Numerical simulation also shows that our model can stabilize the traffic flow by considering the information of driver's memory.
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