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Related papers: Emergent Traffic Jams

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We study the effect of reaction times on the kinetics of relaxation to stationary states and on congestion transitions in heterogeneous traffic. Heterogeneity is modeled as quenched disorders in the parameters of the car following model and…

Physics and Society · Physics 2021-03-10 A. Sai Venkata Ramana , Saif Eddin Jabari

Event-triggered control (ETC) is claimed to provide enormous reductions in sampling frequency when compared to periodic sampling, but little is formally known about its generated traffic. This work shows that ETC can exhibit very complex,…

Systems and Control · Electrical Eng. & Systems 2022-02-11 Gabriel de Albuquerque Gleizer , Manuel Mazo

Within the Nagel-Schreckenberg traffic flow model we consider the transition from the free flow regime to the jammed regime. We introduce a method of analyzing the data which is based on the local density distribution. This analyzes allows…

Statistical Mechanics · Physics 2007-05-23 S. Lubeck , M. Schreckenberg , K. D. Usadel

A simple periodically driven system displaying rich behavior is introduced and studied. The system self-organizes into a mosaic of static ordered regions with three possible patterns, which are threaded by one-dimensional paths on which a…

Statistical Mechanics · Physics 2015-03-24 Daniel Hexner , Dov Levine

We propose a minimal model for the emergence of a directed flow in autonomous Hamiltonian systems. It is shown that internal breaking of the spatio-temporal symmetries, via localised initial conditions, that are unbiased with respect to the…

Statistical Mechanics · Physics 2011-02-07 D. Hennig , A. D. Burbanks , C. Mulhern , A. H. Osbaldestin

In the Biham-Middleton-Levine traffic model cars are placed with some density p on a two dimensional torus, and move according to a (simple) set of predefined rules. Computer simulations show this system exhibits many interesting phenomena:…

Probability · Mathematics 2007-09-11 Itai Benjamini , Ori Gurel-Gurevich , Roey Izkovsky

In this paper the chaotic properties of the TCP congestion avoidance mechanism are investigated. The analysis focuses on the origin of the complex behavior appearing in deterministic TCP/IP networks. From the traffic modeling point of view…

Disordered Systems and Neural Networks · Physics 2007-05-23 A. Fekete , M. Marodi , G. Vattay

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…

Physics and Society · Physics 2016-02-10 Verena Ziemer , Armin Seyfried , Andreas Schadschneider

Traffic dynamics is universally crucial in analyzing and designing almost any network. This article introduces a novel theoretical approach to analyzing network traffic dynamics. This theory's machinery is based on the notion of traffic…

Multiagent Systems · Computer Science 2024-04-05 Matin Macktoobian , Zhan Shu , Qing Zhao

This paper studies a stochastic model that describes the evolution of vehicle densities in a road network. It is consistent with the class of (deterministic) kinematic wave models, which describe traffic flows on the basis of conservation…

Probability · Mathematics 2021-02-11 Michel Mandjes , Jaap Storm

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

A two--dimensional cellular automaton is introduced to model the flow and jamming of vehicular traffic in cities. Each site of the automaton represents a crossing where a finite number of cars can wait approaching the crossing from each of…

adap-org · Physics 2008-02-03 Jan Freund , Thorsten Pöschel

A two-dimensional cellular automaton is introduced to model the flow and jamming of vehicular traffic in cities. Each site of the automaton represents a crossing where a finite number of cars can wait approaching the crossing from each of…

Statistical Mechanics · Physics 2015-06-24 Jan Freund , Thorsten Poeschel

Traffic congestion continues to escalate with urbanization and socioeconomic development, necessitating advanced modeling to understand and mitigate its impacts. In large-scale networks, traffic congestion can be studied using cascade…

Physics and Society · Physics 2025-02-20 Agnieszka Janicka , Fiona Sloothaak , Maria Vlasiou , Bert Zwart

For autonomous vehicles to safely share the road with human drivers, autonomous vehicles must abide by specific "road rules" that human drivers have agreed to follow. "Road rules" include rules that drivers are required to follow by law --…

Machine Learning · Computer Science 2021-11-22 Avik Pal , Jonah Philion , Yuan-Hong Liao , Sanja Fidler

Traffic jams are an everyday hindrance to transport, and typically arise when many vehicles have the same or a similar destination. We show, however, that even when uniformly distributed in space and uncorrelated, targets have a crucial…

Statistical Mechanics · Physics 2022-01-05 Mathias Casiulis , Daniel Hexner , Dov Levine

This paper is concerned with a fluidodynamic model for traffic flow. More precisely, we consider a single conservation law, deduced from conservation of the number of cars, defined on a road network that is a collection of roads with…

Analysis of PDEs · Mathematics 2007-05-23 G. M. Coclite , B. Piccoli

Traffic on a circular road is described by dynamic programming equations associated to optimal control problems. By solving the equations analytically, we derive the relation between the average car density and the average car flow, known…

Optimization and Control · Mathematics 2010-02-11 Nadir Farhi

Percolation transition is widely observed in networks ranging from biology to engineering. While much attention has been paid to network topologies, studies rarely focus on critical percolation phenomena driven by network dynamics. Using…

Physics and Society · Physics 2019-01-08 Guanwen Zeng , Daqing Li , Shengmin Guo , Liang Gao , Ziyou Gao , H. Eugene Stanley , Shlomo Havlin

Traffic waves can rise even from single lane car-following behaviour. To better understand and mitigate traffic waves, it is necessary to use analytical tools like mathematical models, data analysis, and micro-simulations that can capture…

Physics and Society · Physics 2023-10-10 Nour Khoudari , Rabie Ramadan , Megan Ross , Benjamin Seibold
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