4.5 Article

A new lattice model of traffic flow with the consideration of the driver's forecast effects

Journal

PHYSICS LETTERS A
Volume 375, Issue 22, Pages 2153-2157

Publisher

ELSEVIER SCIENCE BV
DOI: 10.1016/j.physleta.2011.04.033

Keywords

Forecast effects; Traffic flow; Lattice model

Funding

  1. Chinese Ministry of Education [211123]
  2. Hunan Provincial Education Department, China [10B072]
  3. Doctor Scientific Research Startup Project Foundation of Hunan University of Arts and Science, China [BSQD1010]
  4. Scientific Research Foundation of Hunan University of Arts and Science, China [JJZD0902]
  5. 11th Five-year Plan for Key Construction Academic Subject of Hunan Province, China

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In this Letter, a new lattice model is presented with the consideration of the driver's forecast effects (DFE). The linear stability condition of the extended model is obtained by using the linear stability theory. The analytical results show that the new model can improve the stability of traffic flow by considering DFE. The modified KdV equation near the critical point is derived to describe the traffic jam by nonlinear analysis. Numerical simulation also shows that the new model can improve the stability of traffic flow by adjusting the driver's forecast intensity parameter, which is consistent with the theoretical analysis. (C) 2011 Elsevier B.V. All rights reserved.

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