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应用科学学报 ›› 1999, Vol. 17 ›› Issue (2): 142-147.

• 论文 • 上一篇    下一篇

福井-石桥交通流模型高密度区平均场方程

汪秉宏1, 王雷1, 许伯铭2, 胡斑比3   

  1. 1. 中国科学技术大学;
    2. 香港中文大学;
    3. 香港浸会大学
  • 收稿日期:1997-07-30 修回日期:1998-07-20 出版日期:1999-06-30 发布日期:1999-06-30
  • 基金资助:
    国家基础研究攀登计划“非线性科学”及国家自然科学基金资助项目

Mean Field Equations for High Density Situation of Fukui-Ishibashi Traffic Flow Models

WANG BINGHONG1, WANG LEI1, HUI PAKMING2, HUI PAKMING3   

  1. 1. Department of Modern Physics, and Nonlinear Science Center, University of Science and Technology of China, Hefei 230026;
    2. Department of Physics, The Chinese University of Hong Kong, New Territories, Hong Kong;
    3. Department of Physics, Hong Kong Baptist University, Kowloon, Hong Kong
  • Received:1997-07-30 Revised:1998-07-20 Online:1999-06-30 Published:1999-06-30

PDF

58

被引次数

5

摘要： 对于一维交通流的含高速运动车(Vmax=M>1)并可随机延迟的福井石桥元胞自动机模型,从车头间距的观点进行了研究,给出了车头间距随时间演化的基本方程,定义了长车距和短车距的概念,并分别计算了它们的出现概率.在高密度(d≥1/M)条件下证明了长车距的长度将缩短,任何初态都将演化到所有车头间距皆为短车距的稳定态,从而严格地证明了对于有随机延迟的一般福井石桥交通流模型,其高密度区域车流渐近稳定态的基本图曲线与延迟概率无关.

关键词: 交通流, 元胞自动机, 平均场方程, 基本图

Abstract: In this paper, Fukui Ishibashi one dimensional traffic flow cellular automaton model for high speed vehicles (vmax=M>1) with stochastic delay is studied from the point of view of inter-car spacings. Starting from the basic equation describing the time evolution of the number of empty sites in front of each car, the concepts of inter-car spacing longer (shorter) than M are defined, the occurrence probabilities of longer spacing and shorter spacing are calculated respectively. For the situation of high density (d ≥ 1/M), it is proved that the inter-car spacing longer than M will be shorten, any initial configuration will approach to the steady state for which all the inter-car spacing belong to shorter type. Hence it is proved strictly that for general Fukui -Ishibashi traffic flow model with stochastic delay, when the car density is high, the fundamental diagram for the traffic flow asymptotic steady state does not change as the delay probability.

Key words: fundamental diagram, mean field equation, traffic flow, cellular automaton