A new anisotropic continuum model for traffic flow
A new anisotropic continuum model for traffic flow
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DOI：
10.1016/j.physa.2005.12.036
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发表时间：
2006-08
影响因子：
3.3
通讯作者：
A. Gupta;V. K. Katiyar
中科院分区：
文献类型：
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作者：
A. Gupta;V. K. Katiyar
本文在改进的跟驰模型的基础上，利用车头时距的密度级数展开，建立了一个新的连续模型。与贝格的模型相比，新模型包含额外的速度梯度项（各向异性项）[贝格等人，E 61（2）（2000）1056]。该各向异性项保证了特征速度总是小于或等于宏观流速的特性。这种新的模型还克服了几乎所有高阶连续体模型中存在的负流和负速度（即错误的方式旅行）问题。众所周知，在某些情况下，扩散波可能导致“错误的方式旅行”[C。F. Daganzo，B 29（1995）277]。在我们的一般模型中，交通依赖的各向异性因素控制在这些特殊情况下的非各向同性字符和扩散的影响。对交通流的稳定性进行了分析，发现该模型与贝格模型在各向异性参数为零时的稳定性判据相同。
This paper develops a new continuum model based upon an improved car-following model by using a series expansion of the headway in terms of the density. The new model contains an additional speed gradient term (Anisotropic term) in comparison to the Berg's model [Berg et al., Phys. Rev. E 61(2) (2000) 1056]. This anisotropic term guarantees the property that the characteristic speeds are always less than or equal to the macroscopic flow speed. This new model also overcomes the problem of negative flows and negative speeds (i.e. wrong way travel) that exists in almost every higher order continuum models. It is known that diffusive wave could lead to a “wrong way travel” under certain circumstances [C. F. Daganzo, Trans. Res. B 29 (1995) 277]. In our general model, a traffic dependent anisotropic factor controls the non-isotropic character and diffusive influence in these special circumstances. The stability of traffic flow is analyzed and found out that this new continuum model obeys the same stability criterion as Berg's model for zero anisotropic parameter.