Kinematic Wave Properties of Anisotropic Dynamics Model for Traffic Flow
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摘要: 对姜锐等人最近提出的一种新的交通流动力学模型的波动特性进行了分析.该模型中,不存在大于宏观车流速度的特征速度,从而满足交通流各向异性的要求.线性稳定性分析发现,新模型在一定条件下保持稳定,文中给出了稳定条件判定标准.分析指出,这一模型的波由一阶波和二阶波两种层次构成,既允许交通光滑波的存在,也充许交通激波的存在,但是其激波条件与其它相关模型有明显区别.正是这种区别,使得新模型在处理某些交通问题(如车辆倒退现象)上更加符合实际车流情况.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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Key words:
- traffic flow /
- dynamics model /
- kinematic wave property
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[1] 姜锐,吴清松,朱祚金.一种新的交通流动力学模型[J].科学通报,2000,45(17):1895-1899. [2] Payne H J.Models of freeway traffic and control[A].In:G A Behey Ed.Proc Simulation Council Mathematical Models of Public Systems[C].La Jolla:Simulation Council,1971,1(1):51-61. [3] Daganzo C F.Requiem for second-order fluid approximations of traffic flow[J].Transp Res B,1995,29(4):277-286. [4] Whitham G B.Linear and Nonlinear Wave[M].New York:John Wiley and Sons,Inc,1974. [5] Zhang H M.Analyses of the stability and wave properties of a new continuum traffic theory[J].Transp Res B,1999,33(6):399-415. -
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