Traffic Flow Theory
Traffic Flow Theory
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DOI：
10.1007/978-3-319-69231-9_3
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发表时间：
2018
期刊：
影响因子：
--
通讯作者：
P. Kachroo;K. Ozbay
中科院分区：
文献类型：
--
作者：
P. Kachroo;K. Ozbay
本章介绍了交通流的基本理论，这些理论将在以后的章节中用于控制问题的表述。该理论发展了lighhill - whitham - richards （LWR）模型，该模型使用交通守恒定律。此外，还使用了与密度相关的速度公式。这个基本图表有许多关系，本章使用Greenshields的公式进行进一步分析。提出了初等偏微分方程（PDE）理论，包括交通模型分析所需的特征方法。讨论了冲击波和弱解，然后简要讨论了交通测量。
This chapter presents the basic traffic flow theory which is used in the following chapters for control problem formulations. The theory develops the Lighthill–Whitham–Richards (LWR) model that uses the conservation law for traffic. Additionally, a density-dependent speed formula is used. There are many relationships available for this fundamental diagram, the chapter uses Greenshields’ formula for further analysis. Elementary partial differential equations (PDE) theory is also presented including the method of characteristics needed for the analysis of the traffic model. Shockwaves and weak solutions are discussed followed by a brief discussion of traffic measurements.