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In this paper, urban traffic is modeled using dual graph representation of urban transportation network where roads are mapped to nodes and intersections are mapped to links. The proposed model considers both the navigation of vehicles on…

Physics and Society · Physics 2009-11-13 Mao-Bin Hu , Rui Jiang , Yong-Hong Wu , Wen-Xu Wang , Qing-Song Wu

We study diffusion and consensus dynamics in a Network of Networks model. In this model, there is a collection of sub-networks, connected to one another using a small number of links. We consider a setting where the links between networks…

Social and Information Networks · Computer Science 2020-02-17 Yuhao Yi , Anirban Das , Stacy Patterson , Bassam Bamieh , Zhongzhi Zhang

The propagation of traffic congestion along roads is a commonplace nonlinear phenomenon. When many roads are connected in a network, congestion can spill from one road to others as drivers queue to enter a congested road, creating further…

Systems and Control · Computer Science 2019-06-18 Matthew A. Wright , Roberto Horowitz , Alex A. Kurzhanskiy

Statistical mechanics of a small system of cars on a single-lane road is developed. The system is not characterized by a Hamiltonian but by a conditional probability of a velocity of a car for the given velocity and distance of the car…

Physics and Society · Physics 2009-11-13 Anton Šurda

The spatial arrangement of urban hubs and centers and how individuals interact with these centers is a crucial problem with many applications ranging from urban planning to epidemiology. We utilize here in an unprecedented manner the large…

Physics and Society · Physics 2015-05-18 Camille Roth , Soong Moon Kang , Michael Batty , Marc Barthelemy

We study transportation networks controlled by dynamical feedback tolls. We consider a multiscale transportation network model whereby the dynamics of the traffic flows are intertwined with those of the drivers' route choices. The latter…

Optimization and Control · Mathematics 2019-01-30 Rosario Maggistro , Giacomo Como

Analysis of traffic pattern recognition and traffic congestion expansion in real time are one of the exciting and challenging tasks which help the government to build a robust and sustainable traffic management system specially in a densely…

Physics and Society · Physics 2023-08-17 Md Abu Sayed , Md Maksudur Rahman , Moinul Islam Zaber , Amin Ahsan Ali

An extensive body of research deals with estimating the correlation and the Hurst parameter of Internet traffic traces. The significance of these statistics is due to their fundamental impact on network performance. The coverage of Internet…

Networking and Internet Architecture · Computer Science 2012-08-15 Amr Rizk , Zdravko Bozakov , Markus Fidler

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

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

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

Navigation apps have become pervasive in providing real-time route recommendations to travelers willing to minimize their travel times. However, such technologies introduce new complexities, raising concerns about their overall impact on…

Systems and Control · Electrical Eng. & Systems 2024-12-31 Tommaso Toso , Alain Y. Kibangou , Paolo Frasca

Experimental results for congested pedestrian traffic are presented. For data analysis we apply a method providing measurements on an individual scale. The resulting velocity-density relation shows a coexistence of moving and stopping…

Physics and Society · Physics 2010-06-18 A. Seyfried , A. Portz , A. Schadschneider

The fundamental relationship of traffic flow is empirically estimated by fitting a regression curve to a cloud of observations of traffic variables. Such estimates, however, may suffer from the confounding/endogeneity bias due to omitted…

Econometrics · Economics 2021-04-07 Anupriya , Daniel J. Graham , Daniel Hörcher , Prateek Bansal

In this paper, we study traffic dynamics in scale-free networks in which packets are generated with non-homogeneously selected sources and destinations, and forwarded based on the local routing strategy. We consider two situations of packet…

Physics and Society · Physics 2007-05-23 Rui Jiang , Mao-Bin Hu , Wen-Xu Wang , Gang Yan , Qing-Song Wu , Bing-Hong Wang

Networks and graphs provide a simple but effective model to a vast set of systems which building blocks interact throughout pairwise interactions. Unfortunately, such models fail to describe all those systems which building blocks interact…

Physics and Society · Physics 2022-09-21 Mauro Faccin

We analyze the effects of agents' decisions on the creation of congestion on a centralized network with ring-and-hub topology. We show that there are two classes of agents each displaying a distinct set of behaviours. The dynamics of the…

Physics and Society · Physics 2009-11-11 Sean Gourley , Neil F. Johnson

Mitigating traffic congestion on urban roads, with paramount importance in urban development and reduction of energy consumption and air pollution, depends on our ability to foresee road usage and traffic conditions pertaining to the…

Physics and Society · Physics 2018-04-27 Jingyuan Wang , Yu Mao , Jing Li , Chao Li , Zhang Xiong , Wen-Xu Wang

Scramble intersections stand as compelling examples of complex systems, shedding light on the pressing challenge of urban mobility. In this paper, we introduce a model aimed at unraveling the statistical intricacies of pedestrian crossing…

Physics and Society · Physics 2023-10-04 Eduardo V. Stock , Roberto da Silva

This article analyzes the complex geometry of urban transportation networks as a gateway to understanding their encompassing urban systems. Using a proposed ring-buffer approach and applying it to 50 urban areas in the United States, we…

Physics and Society · Physics 2015-07-20 Farideddin Peiravian , Sybil Derrible