中国物理B ›› 2009, Vol. 18 ›› Issue (9): 3724-3735.doi: 10.1088/1674-1056/18/9/020

• GENERAL • 上一篇    下一篇

A viscous continuum traffic flow model with consideration of the coupling effect for two-lane freeways

孙棣华, 彭光含   

  1. College of Automation, Chongqing University, Chongqing 400030, China
  • 收稿日期:2008-12-10 修回日期:2009-02-25 出版日期:2009-09-20 发布日期:2009-09-20
  • 基金资助:
    Project supported by the National High Technoloy Research and Development 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 viscous continuum traffic flow model with consideration of the coupling effect for two-lane freeways

Sun Di-Hua (孙棣华) and Peng Guang-Han(彭光含)†   

  1. College of Automation, Chongqing University, Chongqing 400030, China
  • Received:2008-12-10 Revised:2009-02-25 Online:2009-09-20 Published:2009-09-20
  • Supported by:
    Project supported by the National High Technoloy Research and Development 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： In this paper, the viscous continuum traffic flow model for a single lane is extended to the traffic flow for two-lane freeways. The proposed model is a higher-order continuum model considering the coupling and lane changing effects of the vehicles on two adjacent lanes. It results from integrating the Taylor series expansion of the viscous continuum traffic flow model proposed by Ge (2006 Physica A 371 667) into the multi-lane model presented by Daganzo (1997 Transpn. Res. B 31 83). Our proposed model may be used to describe non-anisotropic behaviour because of lane changing in multi-lane traffic. A linear stability analysis is given and the neutral stability condition is obtained. Also, issues related to lane changing, shock waves and rarefaction waves, local clustering and phase transition are investigated through a simulation experiment. The simulation results show that the proposed model is capable of explaining some particular traffic phenomena commonly observable in real world traffic flow.

Abstract: In this paper, the viscous continuum traffic flow model for a single lane is extended to the traffic flow for two-lane freeways. The proposed model is a higher-order continuum model considering the coupling and lane changing effects of the vehicles on two adjacent lanes. It results from integrating the Taylor series expansion of the viscous continuum traffic flow model proposed by Ge (2006 Physica A 371 667) into the multi-lane model presented by Daganzo (1997 Transpn. Res. B 31 83). Our proposed model may be used to describe non-anisotropic behaviour because of lane changing in multi-lane traffic. A linear stability analysis is given and the neutral stability condition is obtained. Also, issues related to lane changing, shock waves and rarefaction waves, local clustering and phase transition are investigated through a simulation experiment. The simulation results show that the proposed model is capable of explaining some particular traffic phenomena commonly observable in real world traffic flow.

Key words: two-lane traffic, viscous continuum traffic flow model, numerical simulation

中图分类号:  (Granular models of complex systems; traffic flow)

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