An ODE traffic network model
An ODE traffic network model
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ODE交通网络模型
DOI：
10.1016/j.cam.2006.04.007
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发表时间：
2007
影响因子：
2.4
通讯作者：
A. K. Singh
中科院分区：
文献类型：
--
作者：
M. Herty;A. Klar;A. K. Singh
我们感兴趣的是基于偏微分方程的车辆交通流模型及其对道路网络的扩展。在本文中，我们简化了一个流体动力学交通模型，并基于常微分方程组建立了一个新的交通流模型。这是通过平均密度演化的空间离散化和网络结点处的耦合条件的适当近似来获得的。我们证明了新模型继承了完整模型的相似特征，例如交通拥堵传播。我们考虑由常微分方程组模型控制的最优控制问题，并推导出最优系统。我们给出了样本网络中交通流模拟和优化的数值结果。
We are interested in models for vehicular traffic flow based on partial differential equations and their extensions to networks of roads. In this paper, we simplify a fluidodynamic traffic model and derive a new traffic flow model based on ordinary differential equations (ODEs). This is obtained by spatial discretization of an averaged density evolution and a suitable approximation of the coupling conditions at junctions of the network. We show that the new model inherits similar features of the full model, e.g., traffic jam propagation. We consider optimal control problems controlled by the ODE model and derive the optimality system. We present numerical results on the simulation and optimization of traffic flow in sample networks.