东北大学学报（自然科学版）

东北大学学报:自然科学版 ›› 2014, Vol. 35 ›› Issue (7): 1055-1058.DOI: 10.12068/j.issn.1005-3026.2014.07.032

• 数学 • 上一篇    下一篇

一种新的宏观交通流模型

邵新慧，韩颖，胡云逸   

  1. (东北大学 理学院， 辽宁 沈阳110819)
  • 收稿日期:2013-08-28 修回日期:2013-08-28 出版日期:2014-07-15 发布日期:2014-04-11
  • 通讯作者: 邵新慧
  • 作者简介:邵新慧(1970-)，女，山东青岛人，东北大学副教授，博士.
  • 基金资助:
    国家自然科学基金资助项目(11371081);东北大学第七批“大学生创新训练计划”项目.

An Improved Traffic Flow Model

SHAO Xinhui， HAN Ying， HU Yunyi   

  1. School of Sciences， Northeastern University， Shenyang 110819， China.
  • Received:2013-08-28 Revised:2013-08-28 Online:2014-07-15 Published:2014-04-11
  • Contact: SHAO Xinhui
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摘要： 为了更好地进行城市交通规划与控制，亟待发展一种有效描述交通流动的数学模型.基于交通流研究中通常采用的微观-宏观参量间的联系方法，得到了一种新的动力学模型.它以线性加权的方式考虑了车辆相对速度的影响，使得新模型更加符合实际的交通情况.新模型考虑了车辆间相对距离对后车加速度的影响，一些经典的连续交通流模型可以视为新模型的特例，如Payne模型、Wiltham模型和Zhang模型.此外，研究了新模型的特征速度和线性稳定性，发现新模型恒稳定，且模型是否具有各向异性由各向异性因子决定.

关键词: 跟驰模型, 宏观交通流模型, Payne模型, Wiltham模型, Zhang模型, 线性稳定

Abstract: To better carry out the planning and control of urban transport， a more effective mathematical model describing traffic flow was given. The new model is based on both the driver’s carfollowing behavior and general linkage between microscopic and macroscopic parameters. Since the model includes the effects of both the relative speeds and the relative distance with linear weighted method， it is more realistic. Meanwhile， some wellknow continuum models are contained in this new model as special cases， such as Payne model， Wiltham model， and Zhang model. The characteristic velocity and linear stability of the new model were studied. The new model is inherently stable and controls the extent of nonanisotropic and diffusive influences through a dimensionless parameter called anisotropic factor.

Key words: carfollowing model, macroscopic traffic flow model, Payne model, Wiltham model, Zhang model, linear stability

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