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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

The characteristic features of traffic breakdown near on-ramp are analyzed. To describe this phenomenon the probabilistic description regarding the jam emergence as the formation of a large car cluster on highway inside the synchronized…

软凝聚态物质 · 物理学 2007-05-23 Reinhart Kuhne , Ihor Lubashevsky , Reinhard Mahnke , Jevgenijs Kaupush

The theory of a jamming transition is proposed for the homogeneous car-following model within the framework of Lorenz scheme. We represent a jamming transition as a result of the spontaneous deviations of headway and velocity that is caused…

统计力学 · 物理学 2009-10-31 A. I. Olemskoi , A. V. Khomenko

Vehicles in developing countries have widely varying dimensions and speeds, and drivers tend to not follow lane discipline. In this flow state called "mixed traffic", the interactions between drivers and the resulting maneuvers resemble…

物理与社会 · 物理学 2018-08-01 Venkatesan Kanagaraj , Martin Treiber

We study a single-lane traffic model that is based on human driving behavior. The outflow from a traffic jam self-organizes to a critical state of maximum throughput. Small perturbations of the outflow far downstream create emergent traffic…

adap-org · 物理学 2009-10-28 Kai Nagel , Maya Paczuski

We study a two-lane driven lattice gas model with oppositely directed particles moving on two periodic lanes with correlated lane switching processes, so that particles can switch lanes with finite probability only when oppositely directed…

统计力学 · 物理学 2015-06-18 Sudipto Muhuri

In this paper we extend the Aw-Rascle-Zhang (ARZ) non-equilibrium traffic flow model to take into account the look-ahead capability of connected and autonomous vehicles (CAVs), and the mixed flow dynamics of human driven and autonomous…

偏微分方程分析 · 数学 2024-12-09 Shouwei Hui , Michael Zhang

We study an asymmetric simple exclusion process in a strip in the presence of a solid impenetrable barrier. We focus on the effect of the barrier on the residence time of the particles, namely, the typical time needed by the particles to…

统计力学 · 物理学 2016-10-19 Emilio N. M. Cirillo , Adrian Muntean , Oleg Krehel , Rutger van Santen

For a class of data-fitted macroscopic traffic models, the influence of the choice of the stagnation density on the model accuracy is investigated. This work builds on an established framework of data-fitted first-order…

物理与社会 · 物理学 2013-08-05 Shimao Fan , Benjamin Seibold

A simple macroscopic model for the vehicular traffic flow with hysteresis is proposed. The model includes drivers' hysteresis behavior into the classical Lighthill-Whitham-Richard (LWR) model. One novelty of the model is how the hysteresis…

偏微分方程分析 · 数学 2018-11-02 Andrea Corli , Haitao Fan

In this paper we study a phase transition model for vehicular traffic flows. Two phases are taken into account, according to whether the traffic is light or heavy. We assume that the two phases have a non-empty intersection, the so called…

偏微分方程分析 · 数学 2018-04-23 Mohamed Benyahia , Carlotta Donadello , Nikodem Dymski , Massimiliano D. Rosini

In [7], Berthelin, Degond, Delitala and Rascle introduced a traffic flow model describing the formation and the dynamics of traffic jams. This model consists of a Pressureless Gas Dynamics system under a maximal constraint on the density…

偏微分方程分析 · 数学 2012-08-08 Florent Berthelin , Damien Broizat

In this paper, we introduce a traffic flow model based on a microscopic follow-the-leader model, while enforcing maximal constraints on the density and velocity of the flow. The related macroscopic model can be represented in conservative…

数值分析 · 数学 2026-01-21 Yuanhong Wu , Shuzhi Liu , Qinglong Zhang

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,…

物理与社会 · 物理学 2022-03-10 Caterina Balzotti , Maya Briani , Benedetto Piccoli

The simulation of traffic flow on networks requires knowledge on the behavior across traffic intersections. For macroscopic models based on hyperbolic conservation laws there exist nowadays many ad-hoc models describing this behavior. Based…

数值分析 · 数学 2023-08-21 Michael Herty , Niklas Kolbe

Empirical and numerical microscopic features of moving traffic jams are presented. Based on a single vehicle data analysis, it is found that within wide moving jams, i.e., between the upstream and downstream jam fronts there is a complex…

物理与社会 · 物理学 2009-11-11 Boris S. Kerner , Sergey L. Klenov , Andreas Hiller , Hubert Rehborn

The Simon-Gutowitz bidirectional traffic model (Phys. Rev. E 57, 2441 (1998)) is revisited in this letter. We found that passing cars get stuck with oncoming cars before returning to their home lanes. This provokes the occurrence of wide…

物理与社会 · 物理学 2009-03-10 Najem Moussa

We consider a junction regulated by a traffic lights, with n incoming roads and only one outgoing road. On each road the Phase Transition traffic model, proposed in [6], describes the evolution of car traffic. Such model is an extension of…

偏微分方程分析 · 数学 2017-12-22 Mauro Garavello , Francesca Marcellini

We study the noise-induced currents and reliability or coherence of transport in two different classes of rocking ratchets. For this, we consider the motion of Brownian particles in the over damped limit in both adiabatic and non-adiabatic…

统计力学 · 物理学 2007-05-23 Soumen Roy , Debasis Dan , A. M. Jayannavar

In vehicle traffic networks, congestion on one outgoing link of a diverging junction often impedes flow to other outgoing links, a phenomenon known as the first-in-first-out (FIFO) property. Simplified traffic models that do not account for…

系统与控制 · 计算机科学 2016-10-03 Samuel Coogan , Murat Arcak , Alexander A. Kurzhanskiy