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Simple physical models based on fluid mechanics have long been used to understand the flow of vehicular traffic on freeways; analytically tractable models of flow on an urban grid, however, have not been as extensively explored. In an ideal…

Physics and Society · Physics 2013-10-21 Mark J Panaggio , Bertrand J Ottino-Löffler , Peiguang Hu , Daniel M Abrams

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…

Physics and Society · Physics 2007-05-23 Syohei Yamamoto , Yasuhiro Hieida , Shin-ichi Tadaki

Nowadays, traffic monitoring systems have access to real time data, e.g. through GPS devices. We propose a new traffic model able to take into account these data and, hence, able to describe the effects of unpredictable accidents. The well…

Analysis of PDEs · Mathematics 2014-11-11 Rinaldo M. Colombo , Francesca Marcellini

Most car-following models show a transition from laminar to ``congested'' flow and vice versa. Deterministic models often have a density range where a disturbance needs a sufficiently large critical amplitude to move the flow from the…

Statistical Mechanics · Physics 2007-05-23 Kai Nagel , Christopher Kayatz , Peter Wagner

The thesis deals with the Aw-Rascle-Zhang model for traffic. We have applied the model to describe the influence of a large and slow vehicle (a bus or a truck) on the traffic. The trajectory of the bus is given by an ODE. The model can also…

Analysis of PDEs · Mathematics 2016-05-03 Stefano Villa

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…

Systems and Control · Computer Science 2019-06-20 Matthew A. Wright , Roberto Horowitz

Traffic flow is a very prominent example of a driven non-equilibrium system. A characteristic phenomenon of traffic dynamics is the spontaneous and abrupt drop of the average velocity on a stretch of road leading to congestion. Such a…

Physics and Society · Physics 2012-10-29 Florian Knorr , Michael Schreckenberg

On the basis of assumptions about the behavior of driver-vehicle units concerning acceleration, deceleration, overtaking, and lane-changing maneuvers, a gas-kinetic traffic model for uni-directional multi-lane freeways is constructed.…

Statistical Mechanics · Physics 2015-06-25 Dirk Helbing

Reinforcement learning techniques can provide substantial insights into the desired behaviors of future autonomous driving systems. By optimizing for societal metrics of traffic such as increased throughput and reduced energy consumption,…

Multiagent Systems · Computer Science 2022-01-03 Abdul Rahman Kreidieh , Yibo Zhao , Samyak Parajuli , Alexandre Bayen

This study addresses multilane vehicular traffic modelling, focusing on the transition between microscopic (individual vehicle-based) to macroscopic (aggregate flow-based) descriptions. While previous research on multilane traffic has…

Physics and Society · Physics 2025-09-09 Matteo Piu , Giuseppe Visconti , Gabriella Puppo

While bringing convenience to people, the growing number of vehicles on road already cause inevitable traffic congestion. Some traffic congestion happen with observable reasons, but others occur without apparent reasons or bottlenecks,…

Systems and Control · Electrical Eng. & Systems 2021-12-30 Jiancheng Fang , Yu Xiang , Yu Huang , Yilong Cui , Wenyong Wang

Recently, a phase transition to synchronized congested traffic has been observed in empirical highway data [B. S. Kerner and H. Rehborn, Phys. Rev. Lett. 79, 4030 (1997)]. This hysteretic transition has been described by a non-local,…

Statistical Mechanics · Physics 2009-10-31 Martin Treiber , Dirk Helbing

The increasing urbanization process we have been witnessing in the last decades is accompanied by a significant increase in traffic congestion in cities around the world. The effect of the congestion is represented in the enormous time…

Physics and Society · Physics 2021-11-01 Nimrod Serok , Shlomo Havlin , Efrat Blumenfeld Lieberthal

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…

Analysis of PDEs · Mathematics 2021-08-16 Wancheng Sheng , Qinglong Zhang

We study the spatiotemporal patterns resulting from different boundary conditions for a microscopic traffic model and contrast it with empirical results. By evaluating the time series of local measurements, the local traffic states are…

Physics and Society · Physics 2013-07-08 Florian Knorr , Michael Schreckenberg

By means of a novel variational approach we study ergodic properties of a model of a multi lane traffic flow, considered as a (deterministic) wandering of interacting particles on an infinite lattice. For a class of initial configurations…

Chaotic Dynamics · Physics 2007-05-23 Michael Blank

In this paper we consider the problem of estimating emissions due to vehicular traffic on complex networks, and minimizing their effect by regulating traffic at junctions. For the traffic evolution, we consider a Generic Second Order Model,…

Physics and Society · Physics 2022-03-10 Caterina Balzotti , Maya Briani , Benedetto Piccoli

We consider a discrete-time dynamical system in a car-following context. The system was recently introduced to parsimoniously model human driving behavior based on utility maximization. The parameters of the model were calibrated using…

Systems and Control · Electrical Eng. & Systems 2025-09-16 Suzhou Huang , Jian Hu

Understanding the mechanisms leading to the formation and the propagation of traffic jams in large cities is of crucial importance for urban planning and traffic management. Many studies have already considered the emergence of traffic jams…

Physics and Society · Physics 2021-09-02 Erwan Taillanter , Marc Barthelemy

"Phantom jams," traffic blockages that arise without apparent cause, have long frustrated transportation scientists. Herein, we draw a novel homology between phantom jams and a related class of self-sustained transonic waves, namely…

Analysis of PDEs · Mathematics 2008-09-18 Morris R. Flynn , Aslan R. Kasimov , Jean-Christophe Nave , Rodolfo R. Rosales , Benjamin Seibold