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The Aw-Rascle-Zhang (ARZ) model can be interpreted as a generalization of the first order Lighthill-Whitham-Richards (LWR) model, possessing a family of fundamental diagram curves, rather than a single one. We investigate to which extent…

物理与社会 · 物理学 2013-06-12 Shimao Fan , Benjamin Seibold

The Aw-Rascle-Zhang (ARZ) model can be interpreted as a generalization of the Lighthill-Whitham-Richards (LWR) model, possessing a family of fundamental diagram curves, each of which represents a class of drivers with a different empty road…

物理与社会 · 物理学 2023-08-17 Shimao Fan , Michael Herty , Benjamin Seibold

We propose a Physics Informed Learning framework for reconstructing traffic density from sparse trajectory data. The approach combines a second-order Aw-Rascle and Zhang model with a first-order training stage to estimate the equilibrium…

系统与控制 · 电气工程与系统科学 2026-04-10 S. Betancur Giraldo , J. Mårtensson , M. Barreau

Monitoring and control of traffic networks represent alternative, inexpensive strategies to minimize traffic congestion. As the number of traffic sensors is naturally constrained by budgetary requirements, real-time estimation of traffic…

系统与控制 · 计算机科学 2019-11-12 Sebastian A. Nugroho , Ahmad F. Taha , Christian Claudel

A macroscopic model-based approach for estimation of the traffic state, specifically of the (total) density and flow of vehicles, is developed for the case of "mixed" traffic, i.e., traffic comprising both ordinary and connected vehicles.…

最优化与控制 · 数学 2015-04-28 Nikolaos Bekiaris-Liberis , Claudio Roncoli , Markos Papageorgiou

The effect of mixture lengths of vehicles on the asymmetric exclusion model is studied using numerical simulations for both open and periodic boundaries in parallel dynamics. Densities are calculated as a function of the injecting rates…

统计力学 · 物理学 2009-11-10 H. Ez-Zahraouy , K. Jetto , A. Benyoussef

This letter focuses on the problem of traffic state estimation for highway networks with junctions in the form of on- and off-ramps while maintaining differential privacy of traffic data. Two types of sensors are considered, fixed sensors…

系统与控制 · 电气工程与系统科学 2023-01-02 Suyash C. Vishnoi , Ahmad F. Taha , Sebastian A. Nugroho , Christian G. Claudel

While macroscopic models for single or multi-lane traffic flow are well established, these models are not applicable to the dynamics and characteristics of disordered traffic which is characterized by widely different types of vehicles and…

物理与社会 · 物理学 2023-10-27 Shrey Agrawal , Venkatesan Kanagaraj , Martin Treiber

Traffic control is at the core of research in transportation engineering because it is one of the best practices for reducing traffic congestion. It has been shown in recent years that the traffic control problem involving…

最优化与控制 · 数学 2021-05-10 Hao Liu , Christian Claudel , Randy Machemehl

We study vehicular traffic on a road with multiple lanes and dense, unidirectional traffic following the traditional Lighthill-Whitham-Richards model where the velocity in each lane depends only on the density in the same lane. The model…

偏微分方程分析 · 数学 2018-12-05 Helge Holden , Nils Henrik Risebro

We review recent results and present new ones on a deterministic follow-the-leader particle approximation of first and second order models for traffic flow and pedestrian movements. We start by constructing the particle scheme for the first…

In this article, we investigate theoretical and numerical properties of the first-order Lighthill-Whitham-Richards (LWR) traffic flow model with time delay. Since standard results from the literature are not directly applicable to the…

数值分析 · 数学 2020-03-30 Simone Göttlich , Elisa Iacomini , Thomas Jung

Besides the traditional data collection by stationary detectors, recent advances in wireless and sensor technologies have promoted new potentials for a vehicle-based data collection and local dissemination of information. By means of…

其他计算机科学 · 计算机科学 2010-12-22 Arne Kesting , Martin Treiber

An extended multi-class Aw-Rascle (AR) model with pressure term described as a function of area occupancy defined in form of proportional densities is presented. Two vehicle classes that is; cars and motorcycles are considered based on an…

偏微分方程分析 · 数学 2024-05-16 Nanyondo Josephine , Henry Kasumba

By means of microscopic simulations we show that non-instantaneous adaptation of the driving behaviour to the traffic situation together with the conventional measurement method of flow-density data can explain the observed…

统计力学 · 物理学 2009-11-10 Martin Treiber , Dirk Helbing

This paper develops a computational framework based on a car-following model to study traffic instability and lane changes. Building upon Newell's classical first-order car-following model, we show that, both analytically and numerically,…

最优化与控制 · 数学 2025-01-07 Nicholas Mankowski , Hassan Mushtaq , Hanliang Guo

We propose and analyse a new microscopic second order Follow-the-Leader type scheme to describe traffic flows. The main novelty of this model consists in multiplying the second order term by a nonlinear function of the global density, with…

偏微分方程分析 · 数学 2025-03-04 Dario Mazzoleni , Emanuela Radici , Filippo Riva

We propose an efficient method for reconstructing traffic density with low penetration rate of probe vehicles. Specifically, we rely on measuring only the initial and final positions of a small number of cars which are generated using…

动力系统 · 数学 2026-02-13 Nail Baloul , Amaury Hayat , Thibault Liard , Pierre Lissy

In this paper, we aim at developing new methods to join machine learning techniques and macroscopic differential models for vehicular traffic estimation and forecast. It is well known that data-driven and model-driven approaches have…

机器学习 · 计算机科学 2024-12-06 Maya Briani , Emiliano Cristiani , Elia Onofri

When a new vehicle joins a lane, those behind may have to temporarily slow to accommodate them. Changing lane can be forced due to lane drops or junctions, but may also take place spontaneously at discretion of drivers, and recent studies…

物理与社会 · 物理学 2023-08-15 Jeremy Worsfold , Tim Rogers
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