Two-dimensional macroscopic model of traffic flows

被引:17
作者
Sukhinova A.B. [1 ]
Trapeznikova M.A. [1 ]
Chetverushkin B.N. [1 ]
Churbanova N.G. [1 ]
机构
[1] Institute of Mathematical Modeling, Russian Academy of Sciences, Miusskaya pl. 4a, Moscow
基金
俄罗斯基础研究基金会;
关键词
Traffic Flow; Traffic Flow Model; Lane Traffic; Phenomenological Constant; Conservative Finite Difference Scheme;
D O I
10.1134/S2070048209060027
中图分类号
学科分类号
摘要
The problem of simulating city and highway traffic flows is considered. Existing simulation techniques are reviewed in brief. A two-dimensional model of a synchronized traffic flow based on continuum approach and similar to kinetically consistent difference schemes is developed. Test problems are used to check the model. © 2009, Pleiades Publishing, Ltd.
引用
收藏
页码:669 / 676
页数:7
相关论文
共 21 条
  • [1] Reuschel A., Fahrzeugbewegungen in der Kolonne begeleichformig beschleunigtem oder verzogertem Leitfrhrzeug, Zeit. d. Oster. Ing. u Architekt. Vereines, 4, 193, pp. 50-62, (1950)
  • [2] Pipes L.A., An Operational Analysis of Traffic Dynamic, J. Appl. Phys., 24, pp. 271-281, (1953)
  • [3] Herman R., Potts, “Single Lane Traffic Theory and Experiment,” in Proc. of Symp. on Theory of Traffic Flow, Ed. by R, Herman (Elsevier, 1959, pp. 120-146
  • [4] Gazis D.C., Herman R., Potts R.B., Car Following Theory of Steady State Traffic Flow, Operations Research, 7, pp. 499-505, (1959)
  • [5] Prigogine I., Andrews F.C., A Boltzmann Like Approach for Traffic Flow, Operations Research, 8, 789, (1960)
  • [6] Rothery R.W., Silver R., Herman R., Torner C., Analysis of Experiments on Single Lane Bus Flow, Operations Research, 12, (1964)
  • [7] Prigogine I., Herman R., Kinetic Theory of Vehicular Traffic, (1971)
  • [8] Paveri-Fontana S.L., On Boltzmann Like Treatments for Traffic Flow, Transportation Research, 9, 225, (1975)
  • [9] Nagel K., Schreckenberg M., A Cellular Automation Model for Freeway Traffic, J. Phys. I France, 2, 2221, (1992)
  • [10] Bando M., Hasebe K., Nakayama A., Shibata A., Sugiyama Y., Phenomenological Study of Dynamical Model of Traffic Flow, J. Physique I France, 5, pp. 1389-1399, (1995)