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Capacity drop at active bottlenecks is one of the most puzzling traffic phenomena, but a thorough understanding is practically important for designing variable speed limit and ramp metering strategies. In this study, we attempt to develop a…

数学物理 · 物理学 2013-10-11 Wen-Long Jin , Qi-Jian Gan , Jean-Patrick Lebacque

The balanced vehicular traffic model is a macroscopic model for vehicular traffic flow. We use this model to study the traffic dynamics at highway bottlenecks either caused by the restriction of the number of lanes or by on-ramps or…

物理与社会 · 物理学 2007-05-23 Florian Siebel , Wolfram Mauser , Salissou Moutari , Michel Rascle

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

Merging junctions are important network bottlenecks, and a better understanding of merging traffic dynamics has both theoretical and practical implications. In this paper, we present continuous kinematic wave models of merging traffic flow…

动力系统 · 数学 2010-04-14 Wen-Long Jin

We propose a model describing the traffic flow on a road with variable widths in this paper. The model, which is modified the Aw-Rascle model, is not conservative because of the source term. We obtain the elementary waves of the new traffic…

偏微分方程分析 · 数学 2021-08-16 Wancheng Sheng , Qinglong Zhang

Experimental studies on vehicular traffic provide data on quantities like density, flux, and mean speed of the vehicles. However, the diagrams relating these variables (the fundamental and speed diagrams) show some peculiarities not yet…

数值分析 · 数学 2016-03-01 Gabriella Puppo , Matteo Semplice , Andrea Tosin , Giuseppe Visconti

Diverging junctions are important network bottlenecks, and a better understanding of diverging traffic dynamics has both theoretical and practical implications. In this paper, we first introduce a continuous multi-commodity kinematic wave…

动力系统 · 数学 2010-09-28 Wen-Long Jin

A most important aspect in the field of traffic modeling is the simulation of bottleneck situations. For their realistic description a macroscopic multi-lane model for uni-directional freeways including acceleration, deceleration, velocity…

统计力学 · 物理学 2009-10-31 Dirk Helbing

Traffic congestion is usually observed at the upper streams of bottlenecks such as tunnels. Congestion appears as stop-and-go waves and high density uniform flow. We perform simulations of traffic flow with a bottleneck using the coupled…

物理与社会 · 物理学 2007-05-23 Syohei Yamamoto , Yasuhiro Hieida , Shin-ichi Tadaki

We study the application of a recently introduced hierarchical description of traffic flow control by driver-assist vehicles to include lane changing dynamics. Lane-dependent feedback control strategies are implemented at the level of…

最优化与控制 · 数学 2020-12-22 R. Borsche , A. Klar , M. Zanella

We describe traffic flows in one lane roadways using kinetic theory, with special emphasis on the role of quenched randomness in the velocity distributions. When passing is forbidden, growing clusters are formed behind slow cars and the…

统计力学 · 物理学 2007-05-23 E. Ben-Naim , P. L. Krapivsky

In this work we present a two-dimensional kinetic traffic model which takes into account speed changes both when vehicles interact along the road lanes and when they change lane. Assuming that lane changes are less frequent than…

数值分析 · 数学 2018-10-18 Michael Herty , Andrea Tosin , Giuseppe Visconti , Mattia Zanella

In this paper we consider a kinetic description of follow-the-leader traffic models, which we use to study the effect of vehicle-wise driver-assist control strategies at various scales, from that of the local traffic up to that of the…

适应与自组织系统 · 物理学 2020-08-31 Benedetto Piccoli , Andrea Tosin , Mattia Zanella

In the present paper a review and numerical comparison of a special class of multi-phase traffic theories based on microscopic, kinetic and macroscopic traffic models is given. Macroscopic traffic equations with multi-valued fundamental…

数值分析 · 数学 2015-03-20 Raul Borsche , Mark Kimathi , Axel Klar

Effects of a bottleneck in a linear trafficway is investigated using a simple cellular automaton model. Introducing a blockage site which transmit cars at some transmission probability into the rule-184 cellular automaton, we observe three…

凝聚态物理 · 物理学 2009-10-22 S. Yukawa , M. Kikuchi , S. -I. Tadaki

Lane changing dynamics are an important part of traffic microsimulation and are vital for modeling weaving sections and merge bottlenecks. However, there is often much more emphasis placed on car following and gap acceptance models, whereas…

系统与控制 · 计算机科学 2023-08-01 Ronan Keane , H. Oliver Gao

This paper deals with a Boltzmann-type kinetic model describing the interplay between vehicle dynamics and safety aspects in vehicular traffic. Sticking to the idea that the macroscopic characteristics of traffic flow, including the…

物理与社会 · 物理学 2017-01-12 Paolo Freguglia , Andrea Tosin

We develop a discrete Boltzmann-type model that uses dynamics in phase space to describe the behavior of traffic flows. Firstly, we model the traffic flow at mesoscopic scale using dynamics in phase space, which is considered as an…

元胞自动机与格子气 · 物理学 2023-11-27 Zhizhen Zhang , Changhong Lu

Through the development of a microscopic deterministic model in the framework of three-phase traffic theory, microscopic features of vehicle overacceleration, which determines the occurrence of the metastability of free traffic flow at a…

物理与社会 · 物理学 2025-04-22 Boris S. Kerner , Sergey L. Klenov

We study spatially non-homogeneous kinetic models for vehicular traffic flow. Classical formulations, as for instance the BGK equation, lead to unconditionally unstable solutions in the congested regime of traffic. We address this issue by…

物理与社会 · 物理学 2019-07-22 Michael Herty , Gabriella Puppo , Sebastiano Roncoroni , Giuseppe Visconti
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