Logit车道分配模型:第一个结果
The Logit lane assignment model: first results
摘要:
Logit车道分配模型是近年来为了从宏观角度描述多车道交通流而提出的。该模型是基于这样的想法,每个可用的车道有一个特定的效用为每个司机,谁选择的车道与最高的效用。该模型是由一个光滑的,但隐含定义的通量函数的守恒律守恒律组。本文的第一个目的是探讨两个数据集上的交通数据如何支持交通速度构成车道分配的解释变量的事实。其次,本文讨论了模型的离散化问题。提出了几种数值格式:Lax-Friedrichs格式、Euler-Lagrange重映射格式、Lagrange格式,并在处理黎曼问题时说明了它们的收敛性。未来的研究方向进行了概述。
英文摘要:
The Logit lane assignment model has been introduced recently in order to describe multi-lane traffic flow from a macroscopic point of view. The model is based on the idea that each available lane has a specific utility for each driver, who chooses the lane with the highest utility. The model is expressed by a system of conservation laws with a smooth but implicitly defined flux function. The first aim of the paper is to explore on two data-sets how traffic data supports the fact that traffic speed constitutes an explanatory variable of lane assignment. Second the paper addresses the problem of discretization of the model. Several numerical schemes are proposed: Lax-Friedrichs, Euler-lagrange remap, Lagrange, and their convergence properties are illustrated on the treatment of the Riemann problem. Directions for future research are outlined.
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