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This paper studies steady-state traffic flow on a ring road with up- and down- slopes using a semi-discrete model. By exploiting the relations between the semi-discrete and the continuum models, a steady-state solution is uniquely…

数学物理 · 物理学 2015-06-15 Chun-Xiu Wu , Peng Zhang , S. C. Wong , Keechoo Choi

While many classical traffic models treat the spatial extension of streets continuously or by discretization into cells of a certain length, we will subdivide roads into comparatively long homogeneous road sections of constant capacity with…

统计力学 · 物理学 2009-11-10 Dirk Helbing

This article deals with the modeling for an individual car path through a road network, where the dynamics is driven by a coupled system of ordinary and partial differential equations. The network is characterized by bounded buffers at…

数值分析 · 数学 2020-04-22 Theresa Dambach , Simone Göttlich , Stephan Knapp

We study a minimal model of traffic flows in complex networks, simple enough to get analytical results, but with a very rich phenomenology, presenting continuous, discontinuous as well as hybrid phase transitions between a free-flow phase…

统计力学 · 物理学 2015-05-13 Daniele De Martino , Luca Dall'Asta , Ginestra Bianconi , Matteo Marsili

In this paper we present a theoretical analysis of a recently proposed two-dimensional Cellular Automata model for traffic flow in cities with the novel ingredient of turning capability. Numerical simulations of this model show that there…

comp-gas · 物理学 2009-10-22 J. M. Molera , F. C. Martinez , J. A. Cuesta , R. Brito

Traffic breakdown, as one of the most puzzling traffic flow phenomena, is characterized by sharply decreasing speed, abruptly increasing density and in particular suddenly plummeting capacity. In order to clarify its root mechanisms and…

物理与社会 · 物理学 2017-04-04 Zuojun Wang , Junfang Tian , Rui Jiang , Xiaopeng Li , Shou Feng Ma

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 use a very simple description of human driving behavior to simulate traffic. The regime of maximum vehicle flow in a closed system shows near-critical behavior, and as a result a sharp decrease of the predictability of travel time. Since…

adap-org · 物理学 2008-02-03 Nagel K , Rasmussen S

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

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,…

系统与控制 · 电气工程与系统科学 2021-12-30 Jiancheng Fang , Yu Xiang , Yu Huang , Yilong Cui , Wenyong Wang

We introduce a simple lattice model of traffic flow in a city where drivers optimize their route-selection in time in order to avoid traffic jams, and study its phase structure as a function of the density of vehicles and of the drivers'…

统计力学 · 物理学 2015-06-24 A. De Martino , M. Marsili , R. Mulet

As a dynamical complex system, traffic is characterized by a transition from free flow to congestions, which is mostly studied in highways. However, despite its importance in developing congestion mitigation strategies, the understanding of…

物理与社会 · 物理学 2015-12-02 Feilong Wang , Daqing Li , Xiaoyun Xu , Ruoqian Wu , Shlomo Havlin

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

This article considers execution and analysis of laboratory experiments of pedestrians moving in a quasi-one-dimensional system with periodic boundary conditions. To analyze characteristics of jams in the system we aim to use the whole…

物理与社会 · 物理学 2016-02-10 Verena Ziemer , Armin Seyfried , Andreas Schadschneider

In this paper we study a model for traffic flow on networks based on a hyperbolic system of conservation laws with discontinuous flux. Each equation describes the density evolution of vehicles having a common path along the network. In this…

数值分析 · 数学 2016-06-17 Maya Briani , Emiliano Cristiani

Free-flow road networks, such as suburban highways, are increasingly experiencing traffic congestion due to growing commuter inflow and limited infrastructure. Traditional control mechanisms, such as traffic signals or local heuristics, are…

机器学习 · 计算机科学 2025-06-16 Ankit Bhardwaj , Rohail Asim , Sachin Chauhan , Yasir Zaki , Lakshminarayanan Subramanian

Vehicle-to-vehicle communications can change the driving behavior of drivers significantly by providing them rich information on downstream traffic flow conditions. This study seeks to model the varying car-following behaviors involving…

系统与控制 · 计算机科学 2018-09-18 Lin Liu , Chunyuan Li , Yongfu Li , Srinivas Peeta , Lei Lin

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

The theory of urban traffic flow has been developed and new types of meta-automata have emerged and simulate realistic traffic conditions relatively well. Among these models, the brake light model can simulate the three-phase traffic flow…

复变函数 · 数学 2021-11-29 Rui Shen

We extend the Aw-Rascle macroscopic model of car traffic into a two-way multi-lane model of pedestrian traffic. Within this model, we propose a technique for the handling of the congestion constraint, i.e. the fact that the pedestrian…

数学物理 · 物理学 2014-04-08 Cécile Appert-Rolland , Pierre Degond , Sébastien Motsch