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Traffic congestion at intersections is a significant issue in urban areas, leading to increased commute times, safety hazards, and operational inefficiencies. This study aims to develop a predictive model for congestion at intersections in…

Machine Learning · Computer Science 2024-11-28 Tara Kelly , Jessica Gupta

We present a macroscopic traffic flow model that extends existing fluid-like models by an additional term containing the second derivative of the safe velocity. Two qualitatively different shapes of the safe velocity are explored: a…

Statistical Mechanics · Physics 2009-11-07 S. Rosswog , P. Wagner

Balancing traffic flow by influencing drivers' route choices to alleviate congestion is becoming increasingly more appealing in urban traffic planning. Here, we introduce a discrete dynamical model comprising users who make their own…

Physics and Society · Physics 2020-09-09 Bo Li , David Saad , Andrey Y. Lokhov

Our goal is to use overhead imagery to understand patterns in traffic flow, for instance answering questions such as how fast could you traverse Times Square at 3am on a Sunday. A traditional approach for solving this problem would be to…

Computer Vision and Pattern Recognition · Computer Science 2020-12-22 Scott Workman , Nathan Jacobs

The central points of communication network flow has often been identified using graph theoretical centrality measures. In real networks, the state of traffic density arises from an interplay between the dynamics of the flow and the…

Disordered Systems and Neural Networks · Physics 2007-05-23 Petter Holme

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…

Physics and Society · Physics 2007-05-23 Florian Siebel , Wolfram Mauser , Salissou Moutari , Michel Rascle

Density fluctuations in traffic current are studied by computer simulations using the deterministic coupled map lattice model on a closed single-lane circuit. By calculating a power spectral density of temporal density fluctuations at a…

chao-dyn · Physics 2009-10-28 S. Yukawa , M. Kikuchi

The objective of this paper is to initiate a qualitative analysis of dynamic flow in traffic networks by using the competitive equilibrium model of multiple market systems. A network is modeled as a dynamic graph where routes (edges) are…

Systems and Control · Computer Science 2017-11-30 Dragoslav D. Šiljak

This paper proposes a crowd dynamic macroscopic model grounded on microscopic phenomenological observations which are upscaled by means of a formal mathematical procedure. The actual applicability of the model to real world problems is…

Mathematical Physics · Physics 2016-11-07 Luca Bruno , Alessandro Corbetta , Andrea Tosin

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…

Physics and Society · Physics 2023-08-15 Jeremy Worsfold , Tim Rogers

Using the methods originally developed for Random Matrix Theory we derive an exact mathematical formula for number variance (introduced in [4]) describing a rigidity of particle ensembles with power-law repulsion. The resulting relation is…

Mathematical Physics · Physics 2008-12-08 Milan Krbalek , Petr Seba

Traditional DTA models of large cities suffer from prohibitive computation times and calibration/validation can become major challenges faced by practitioners. The empirical evidence in 2008 in support of the existence of a Macroscopic…

Analysis of PDEs · Mathematics 2018-12-04 Rafegh Aghamohammadi , Jorge A. Laval

Traffic flow oscillations, including traffic waves, are a common yet incompletely understood feature of congested traffic. Possible mechanisms include traffic flow instabilities, indifference regions or finite human perception thresholds…

Physics and Society · Physics 2017-08-24 Martin Treiber , Arne Kesting

Recently, motivated by the pioneer works in revealing the small-world effect and scale-free property of various real-life networks, many scientists devote themselves to studying complex networks. In this paper, we give a brief review on the…

Physics and Society · Physics 2007-05-23 Bing-Hong Wang , Tao Zhou

This paper firstly show that a recent model (Tian et al., Transpn. Res. B 71, 138-157, 2015) is not able to well replicate the evolution concavity in traffic flow, i.e. the standard deviation of vehicles increases in a concave/linear way…

Cellular Automata and Lattice Gases · Physics 2015-07-16 Junfang Tian , Rui Jiang , Guangyu Li , Martin Treiber , Ning Jia , Shoufeng Ma

This paper firstly show that 2 Dimensional Intelligent Driver Model (Jiang et al., PloS one, 9(4), e94351, 2014) is not able to replicate the synchronized traffic flow. Then we propose an improved model by considering the difference between…

Pattern Formation and Solitons · Physics 2016-08-11 Junfang Tian , Rui Jiang , Geng Li , Martin Treiber , Chenqiang Zhu , Bin Jia

In this second part of our research we used the models presented in \emph{Modeling a vehicular traffic network. Part I} \cite{ogm1} to perform an analysis of the urban traffic as recorded by cameras distributed in a chosen sector of Tigre,…

Physics and Society · Physics 2018-08-01 Ariel Amadio , Facundo Nicuesa , D. Otero , D. Galetti , S. S. Mizrahi

We investigate the behaviour of an original traffic model. The model considers a single multi-lane street, populated by autonomous vehicles directed from either end to the other. Lanes have no intrinsic directionality, and the vehicles are…

Computational Physics · Physics 2007-05-23 Federico Polito , Fergal Dalton

This paper offers an integrative data-driven physics-inspired approach to model and control traffic congestion in a resilient and efficient manner. While existing physics-based approaches commonly assign density and flow traffic states by…

Systems and Control · Electrical Eng. & Systems 2019-12-03 Hossein Rastgoftar , Ella Atkins

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