Fundamental diagrams in traffic flow: the case of heterogeneous kinetic models
Fundamental diagrams in traffic flow: the case of heterogeneous kinetic models
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交通流的基本图：异质动力学模型的情况
DOI：
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发表时间：
2014
期刊：
影响因子：
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通讯作者：
G. Visconti
中科院分区：
文献类型：
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作者：
G. Puppo;M. Semplice;A. Tosin;G. Visconti
对车辆交通的实验研究提供了有关车辆密度、流量和平均速度等数量的数据。然而，与这些变量相关的图表(基本图表和速度图表)显示了一些尚未完全复制或用数学模型解释的特性。本文在运动学方法的基础上，引入了一种新的交通模型，该模型考虑了道路上车辆流动的异质性。更详细地，该模型将交通视为具有不同微观特征的两个或更多车辆(例如轿车和卡车)的混合物，特别是不同的长度和/或最大速度。通过这种方法，我们获得了一些关于实际测量清楚地显示拥堵交通状况下数据的散布的一些见解。
Experimental studies on vehicular traffic provide data on quantities like density, flux, and mean speed of the vehicles. However, the diagrams relating these variables (the fundamental and speed diagrams) show some peculiarities not yet fully reproduced nor explained by mathematical models. In this paper, resting on the methods of kinetic theory, we introduce a new traffic model which takes into account the heterogeneous nature of the flow of vehicles along a road. In more detail, the model considers traffic as a mixture of two or more populations of vehicles (e.g., cars and trucks) with different microscopic characteristics, in particular different lengths and/or maximum speeds. With this approach we gain some insights into the scattering of the data in the regime of congested traffic clearly shown by actual measurements.