Applied Mathematics and Mechanics (English Edition) ›› 2002, Vol. 23 ›› Issue (4): 409-414.

• 论文 • 上一篇    下一篇

KINEMATIC WAVE PROPERTIES OF ANISOTROPIC DYNAMICS MODEL FOR TRAFFIC FLOW

姜锐, 吴清松, 朱祚金   

  1. Institute of Engineering Science, University of Science and Technology of China, Hefei 230026, P.R.China
  • 收稿日期:2000-12-14 修回日期:2001-10-09 出版日期:2002-04-18 发布日期:2002-04-18
  • 通讯作者: DAI Shi-jiang
  • 基金资助:
    the National Natural Science Foundation of China (19872062)

KINEMATIC WAVE PROPERTIES OF ANISOTROPIC DYNAMICS MODEL FOR TRAFFIC FLOW

JIANG Rui, WU Qing-song, ZHU Zuo-jin   

  1. Institute of Engineering Science, University of Science and Technology of China, Hefei 230026, P.R.China
  • Received:2000-12-14 Revised:2001-10-09 Online:2002-04-18 Published:2002-04-18
  • Supported by:
    the National Natural Science Foundation of China (19872062)

摘要: The analyses of kinematic wave properties of a new dynamics model for traffic flow are carried out. The model does not exhibit the problem that one characteristic speed is always greater than macroscopic traffic speed, and therefore satisfies the requirement that traffic flow is anisotropic. Linear stability analysis shows that the model is stable under certain condition and the condition is obtained. The analyses also indicate that the model has a hierarchy of first-and second-order waves, and allows the existence of both smooth traveling wave and shock wave. However, the model has a distinctive criterion of shock wave compared with other dynamics models, and the distinction makes the model more realistic in dealing with some traffic problems such as wrong-way travel analysis.

Abstract: The analyses of kinematic wave properties of a new dynamics model for traffic flow are carried out. The model does not exhibit the problem that one characteristic speed is always greater than macroscopic traffic speed, and therefore satisfies the requirement that traffic flow is anisotropic. Linear stability analysis shows that the model is stable under certain condition and the condition is obtained. The analyses also indicate that the model has a hierarchy of first-and second-order waves, and allows the existence of both smooth traveling wave and shock wave. However, the model has a distinctive criterion of shock wave compared with other dynamics models, and the distinction makes the model more realistic in dealing with some traffic problems such as wrong-way travel analysis.

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