交通运输系统工程与信息

交通运输系统工程与信息 ›› 2006, Vol. 6 ›› Issue (3): 64-70 .

• 系统工程理论与方法 • 上一篇    下一篇

有侧向驶入、驶出单车道及多车道的非平衡交通流模型

张培雷1,2，吴晓层2，简金宝2

  

  1. 1.广西大学电气工程学院，南宁530004； 2.广西大学数学与信息科学学院，南宁530004
  • 收稿日期:2006-01-07 修回日期:1900-01-01 出版日期:2006-06-20 发布日期:2006-06-20

Non-Equilibrium Traffic Flow Models for Single Lane or Multilane with Lateral Entry and Exit Roads

MANG Pei-lei1，2，WU Xiao-ceng2，RAN Jin-bao2   

  1. 1.College of Electric Engineering, Guangxi University, Nanning 530004, China; 2. College of Science: Mathematics Department, Guangxi University, Nanning 530004，China
  • Received:2006-01-07 Revised:1900-01-01 Online:2006-06-20 Published:2006-06-20

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摘要： 在Zhang模型的基拙上，研究了有侧向驶入、驶出的单车道和多车道的情形，给出了这些情况下的非平衡交通流模型及相应的Godunov型有限差分格式。这些模型是Zhang的非平衡交通流模型在更广的范围内的应用与推广，它们和Zhang的模型具有同样的优势:不但克服了LWR模型和PW模型的缺陷，而且能够对现实交通流做出较好的预测。

关键词: 交通管理, 非平衡交通流模型, 双曲型偏微分方程, Godumov型有限差分格式, 侧向驶入、驶出

Abstract: Based on Zhang model, this paper investigates the condition of single lane and multilane when there are lateral entry and exit roads, and presents their non-equilibrium trafic flow models and the corresponding finite diference scheme of these models--Godunov scheme. The derivation of these models is based on the application and popularization of Zhang non-equilibrium trafic flow model in the larger scale. These models have the same advantage with Zhang model: they not only overcome the flaw of LWR model and PW model, but also forecast the trafic flow well.

Key words: traffic administration, non-equilibrium traffic flow model, hyperbolic partial differential equation, finite difference godunov scheme, lateral entry and exit