Multivalued Fundamental Diagrams of Traffic Flow in the Kinetic Fokker-Planck Limit
Multivalued Fundamental Diagrams of Traffic Flow in the Kinetic Fokker-Planck Limit
复制标题
动力学福克-普朗克极限下交通流的多值基本图
DOI：
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发表时间：
2016
影响因子：
1.6
通讯作者：
A. Tosin
中科院分区：
文献类型：
--
作者：
G. Visconti;M. Herty;G. Puppo;A. Tosin
从基于两个随机性水平的相互作用规则出发，我们研究了微观动力学对车流宏观特性的影响。特别是，我们研究了不同选择的所需速度所产生的通量密度和速度密度图的定性结构。由于单参数稳态分布族的存在，我们能够恢复多值图，其表达式是通过初始玻尔兹曼型模型的福克-普朗克近似来分析找到的。
Starting from interaction rules based on two levels of stochasticity we study the influence of the microscopic dynamics on the macroscopic properties of vehicular flow. In particular, we study the qualitative structure of the resulting flux-density and speed-density diagrams for different choices of the desired speeds. We are able to recover multivalued diagrams as a result of the existence of a one-parameter family of stationary distributions, whose expression is analytically found by means of a Fokker--Planck approximation of the initial Boltzmann-type model.