通用的二阶宏观交通节点模型：通过动态系统方法为一般多输入多输出道路交汇处提供通用解决方案
Generic second-order macroscopic traffic node model for general multi-input multi-output road junctions via a dynamic system approach
AI总结：
本文提出了一种通用的二阶宏观交通节点模型，用于解决一般多输入多输出道路交汇处的复杂交通问题，通过动态系统方法实现更精确的交通流建模。
摘要：
本文解决交通建模中的一个开放性问题：二阶宏观节点问题。与一阶模型不同，二阶宏观交通模型允许不同车辆亚群体的驾驶行为变化。因此，二阶模型更具描述性（例如，已被用于建模行为差异的交通混合，如汽车/卡车交通、自动驾驶/人工驾驶交通等），但更加复杂。二阶节点问题尤其复杂，因为它要求解决交通密度和混合特征的不连续性，并为任意数量的输入和输出道路解决通过流（换句话说，这是一个具有两个守恒量的任意维数的黎曼问题）。在本文中，我们扩展了已知的“通用节点模型”约束到二阶，并提出了解决二阶节点问题的简单算法。我们的解决方案利用了最近引入的一阶节点模型问题的动态系统特征，从而提供了对节点模型中隐含的连续时间动态的洞察和直觉。我们进一步认为，常见的“供应和需求”构造将节点模型与链接模型解耦，不适用于二阶节点问题。我们的二阶节点模型和求解方法可以立即应用于任意道路网络中现代感兴趣的复杂行为交通流（如部分自动驾驶车辆流）的建模。
英文摘要：
This paper addresses an open problem in traffic modeling: the second-order macroscopic node problem. A second-order macroscopic traffic model, in contrast to a first-order model, allows for variation of driving behavior across subpopulations of vehicles in the flow. The second-order models are thus more descriptive (e.g., they have been used to model variable mixtures of behaviorally-different traffic, like car/truck traffic, autonomous/human-driven traffic, etc.), but are much more complex. The second-order node problem is a particularly complex problem, as it requires the resolution of discontinuities in traffic density and mixture characteristics, and solving of throughflows for arbitrary numbers of input and output roads to a node (in other words, this is an arbitrary-dimensional Riemann problem with two conserved quantities). In this paper, we extend the well-known "Generic Class of Node Model" constraints to the second order and present a simple solution algorithm to the second-order node problem. Our solution makes use of a recently-introduced dynamic system characterization of the first-order node model problem, which gives insight and intuition as to the continuous-time dynamics implicit in node models. We further argue that the common "supply and demand" construction of node models that decouples them from link models is not suitable to the second-order node problem. Our second-order node model and solution method have immediate applications in allowing modeling of behaviorally-complex traffic flows of contemporary interest (like partially-autonomous-vehicle flows) in arbitrary road networks.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
