中国物理B ›› 2009, Vol. 18 ›› Issue (2): 468-474.doi: 10.1088/1674-1056/18/2/016

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A new traffic model with the consideration of coupling effect with two lanes

孙棣华1, 何恒攀1, 彭光含2   

  1. (1)College of Automation, Chongqing University, Chongqing 400030, China; (2)College of Automation, Chongqing University, Chongqing 400030, China;College of Physics and Electronic Science, Hunan University of Arts and Science, Changde 415000, China
  • 收稿日期:2008-04-28 修回日期:2008-05-20 出版日期:2009-02-20 发布日期:2009-02-20
  • 基金资助:
    Project supported by the National High Tech Research and Development (863) Program of China (Grant No 511-0910-1031) and the National `10th Five-year' Science and Technique Important Program of China (Grant No 2002BA404A07).

A new traffic model with the consideration of coupling effect with two lanes

Peng Guang-Han(彭光含)a)b)†, Sun Di-Hua(孙棣华)a), and He Heng-Pan(何恒攀)a)   

  1. a College of Automation, Chongqing University, Chongqing 400030, China; b College of Physics and Electronic Science, Hunan University of Arts and Science, Changde 415000, China
  • Received:2008-04-28 Revised:2008-05-20 Online:2009-02-20 Published:2009-02-20
  • Supported by:
    Project supported by the National High Tech Research and Development (863) Program of China (Grant No 511-0910-1031) and the National `10th Five-year' Science and Technique Important Program of China (Grant No 2002BA404A07).

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摘要： This paper introduces a new two-lane high-order continuum model by embedding the two delay time scales continuum traffic model presented by Xue (2003 Phys. Rev. E 68 066123) into the multi-lane model proposed by Daganzo (1997 Transpn. Res. B 31 83) with the consideration of the coupling effect between the vehicles of two lanes in instantaneous traffic situation and lane-change effect. In the novel model, the coupling effect of two lanes and phenomena of lane change, which were not discussed in Daganzo's model and Xue's model, are taken into account. Numerical simulation shows that it is in accordance with real traffic flow. This obviously indicates that the new phenomenon and behaviour are analogous results as single lane presented by Xue, and the proposed model is more reasonable on two lanes. Furthermore, the generation rate between two lanes is also investigated. The results show that the formation and diffusion of traffic shock wave can be better simulated on two lanes.

关键词: traffic model, two lanes, numerical simulation

Abstract: This paper introduces a new two-lane high-order continuum model by embedding the two delay time scales continuum traffic model presented by Xue (2003 Phys. Rev. E 68 066123) into the multi-lane model proposed by Daganzo (1997 Transpn. Res. B 31 83) with the consideration of the coupling effect between the vehicles of two lanes in instantaneous traffic situation and lane-change effect. In the novel model, the coupling effect of two lanes and phenomena of lane change, which were not discussed in Daganzo's model and Xue's model, are taken into account. Numerical simulation shows that it is in accordance with real traffic flow. This obviously indicates that the new phenomenon and behaviour are analogous results as single lane presented by Xue, and the proposed model is more reasonable on two lanes. Furthermore, the generation rate between two lanes is also investigated. The results show that the formation and diffusion of traffic shock wave can be better simulated on two lanes.

Key words: traffic model, two lanes, numerical simulation

中图分类号:  (Land transportation)

  • 89.40.Bb
45.70.Vn (Granular models of complex systems; traffic flow) 02.30.Jr (Partial differential equations)