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The self-similarity properties of fractals are studied in the framework of the theory of entire analytical functions and the $q$-deformed algebra of coherent states. Self-similar structures are related to dissipation and to noncommutative…

Mathematical Physics · Physics 2013-12-30 Giuseppe Vitiello

We study a single server FIFO queue that offers general service. Each of n customers enter the queue at random time epochs that are inde- pendent and identically distributed. We call this the random scattering traffic model, and the…

Probability · Mathematics 2017-08-21 Peter W. Glynn , Harsha Honnappa

Based on simulations with the ``intelligent driver model'', a microscopic traffic model, we explain the recently discovered transition from free over ``synchronized'' traffic to stop-and-go patterns [B. S. Kerner, Phys. Rev. Lett. 81, 3797…

Statistical Mechanics · Physics 2007-05-23 Martin Treiber , Dirk Helbing

Numerous studies have shown the effectiveness of intelligent transportation system techniques such as variable speed limit (VSL), lane change (LC) control, and ramp metering (RM) in freeway traffic flow control. The integration of these…

Systems and Control · Electrical Eng. & Systems 2025-05-12 Tianchen Yuan , Petros A. Ioannou

In the Optimal Velocity Model proposed as a new version of Car Following Model, it has been found that a congested flow is generated spontaneously from a homogeneous flow for a certain range of the traffic density. A well-established…

patt-sol · Physics 2009-10-30 K. Nakanishi , K. Itoh , Y. Igarashi , M. Bando

In an intelligent transportation system, the key problem of traffic forecasting is how to extract periodic temporal dependencies and complex spatial correlations. Current state-of-the-art methods for predicting traffic flow are based on…

Machine Learning · Computer Science 2022-03-01 Zichuan Liu , Rui Zhang , Chen Wang , Zhu Xiao , Hongbo Jiang

Self-similarity is a property of fractal structures, a concept introduced by Mandelbrot and one of the fundamental mathematical results of the 20th century. The importance of fractal geometry stems from the fact that these structures were…

Physics and Society · Physics 2008-08-20 Hernan D. Rozenfeld , Lazaros K. Gallos , Chaoming Song , Hernan A. Makse

It is well received in the space syntax community that traffic flow is significantly correlated to a morphological property of streets, which are represented by axial lines, forming a so called axial map. The correlation co-efficient (R…

Data Analysis, Statistics and Probability · Physics 2009-09-15 Bin Jiang , Chengke Liu

Accurate prediction of traffic signal duration for roadway junction is a challenging problem due to the dynamic nature of traffic flows. Though supervised learning can be used, parameters may vary across roadway junctions. In this paper, we…

Computer Vision and Pattern Recognition · Computer Science 2018-11-26 Santhosh Kelathodi Kumaran , Debi Prosad Dogra , Partha Pratim Roy

The paper presents a preliminary analysis of traffic flow data collected in the Lefortovo tunnel located on the 3-rd circular highway of Moscow. It is shown that the observed tunnel congested traffic in fact exhibits cooperative phenomena…

Physics and Society · Physics 2007-05-23 Ihor Lubashevsky , Cyril Garnisov , Reinhard Mahnke , Boris Lifshits , Mikhail Pechersky

Due to the complexity of the traffic flow dynamics in urban road networks, most quantitative descriptions of city traffic so far are based on computer simulations. This contribution pursues a macroscopic (fluid-dynamic) simulation approach,…

Fluid Dynamics · Physics 2015-03-18 Amin Mazloumian , Nikolas Geroliminis , Dirk Helbing

The relation between flow and density is an essential quantitative characteristic to describe the efficiency of traffic systems. We have performed experiments with single-file motion of bicycles and compare the results with previous studies…

We present a model of traffic flow, with rules that describe the behaviour of automated vehicles in an open system. We show first of all that the fundamental diagram of this system collapses to a point, where states of free and jammed…

Statistical Mechanics · Physics 2009-11-07 M. E. Larraga , J. A. del Rio , Anita Mehta

We provide upper bounds on the end-to-end backlog and delay in a network with heavy-tailed and self-similar traffic. The analysis follows a network calculus approach where traffic is characterized by envelope functions and service is…

Networking and Internet Architecture · Computer Science 2013-12-30 Jorg Liebeherr , Almut Burchard , Florin Ciucu

This paper presents the results of a new deep learning model for traffic signal control. In this model, a novel state space approach is proposed to capture the main attributes of the control environment and the underlying temporal traffic…

Systems and Control · Electrical Eng. & Systems 2024-12-20 Matthew Muresan , Liping Fu , Guangyuan Pan

We compare the properties of transmission across one-dimensional finite samples which are associated with two types of "quantum diffusion", one related to a classical chaotic dynamics, the other to a multifractal energy spectrum. We…

Condensed Matter · Physics 2016-08-31 Fausto Borgonovi , Italo Guarneri

Atmospheric flows exhibit selfsimilar fluctuations on all scales(space-time) ranging from climate(kilometers/years) to turbulence(millimeters/seconds) manifested as fractal geometry to the global cloud cover pattern concomitant with inverse…

chao-dyn · Physics 2007-05-23 A. Mary Selvam

A simple model that describes traffic flow in two dimensions is studied. A sharp {\it jamming transition } is found that separates between the low density dynamical phase in which all cars move at maximal speed and the high density jammed…

Condensed Matter · Physics 2009-10-22 Ofer Biham , A. Alan Middleton , Dov Levine

Traffic congestion, primarily driven by intersection queuing, significantly impacts urban living standards, safety, environmental quality, and economic efficiency. While Traffic Signal Control (TSC) systems hold potential for congestion…

Machine Learning · Computer Science 2026-01-14 Qiang Li , Jin Niu , Lina Yu

Atmospheric flows exhibit selfsimilar fractal spacetime fluctuations manifested as the fractal geometry to global cloud cover pattern and inverse power law form for power spectra of meteorological parameters such as windspeed, temperature,…

General Physics · Physics 2011-07-26 A. M. Selvam
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