A macroscopic dynamic network loading model for multiple-reservoir system
A macroscopic dynamic network loading model for multiple-reservoir system
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DOI：
10.1016/j.trb.2018.06.008
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发表时间：
2019-08
期刊：
影响因子：
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通讯作者：
Qian Ge;D. Fukuda
中科院分区：
文献类型：
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作者：
Qian Ge;D. Fukuda
在本文中，我们提出了一个动态网络负载（DNL）模型，捕捉交通动态多水库网络依赖于宏观交通特征之间的关系，并开发了一个数值方法的基础上Goddom计划。DNL模型由链路模型和节点模型组成。水库内部路径的交通动力学由Lighthill-Whitham-Richards偏微分方程系统来描述，该方程建立在守恒定律的基础上，而水库之间边界处的流量由上游和下游水库之间的供需平衡来确定。一种新的数值方法的基础上开发的Goddom计划跟踪网络中的车辆的运动，同时保持相关的优先级规则。与以前的方法相比，所提出的数值方案计算效率高，考虑了水库内不同内部路径中固有的非均匀单元尺寸，并通过保持和平衡规则保持流量。数值实验表明，所提出的方法可以有效地描述大规模交通网络中的车辆动力学。
In this paper, we present a dynamic network loading (DNL) model that captures the traffic dynamics for multiple-reservoir networks dependent on the relationship among macroscopic traffic characteristics, and develop a numerical method based on the Godunov scheme. The proposed DNL model consists of link model and node model. The traffic dynamics of the internal paths in a reservoir are specified by a system of Lighthill–Whitham–Richards-like partial differential equations, which build on the conservation law, while the flows at the boundaries between reservoirs are determined by the supply–demand balances between upstream and downstream reservoirs. A novel numerical method is developed based on the Godunov scheme to track the movement of vehicles in the network while maintaining the relevant priority rules. In comparison with previous approaches, the proposed numerical scheme is computationally efficient, considers the non-uniform cell sizes inherent in different internal paths within a reservoir, and conserves the flow through holding and balancing rules. Numerical experiments indicate that the proposed methodology can describe the dynamics of vehicles in large-scale traffic network efficiently.