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Traffic flow is a very prominent example of a driven non-equilibrium system. A characteristic phenomenon of traffic dynamics is the spontaneous and abrupt drop of the average velocity on a stretch of road leading to congestion. Such a…

Physics and Society · Physics 2012-10-29 Florian Knorr , Michael Schreckenberg

For a long time, many methods are developed to make temporal signal analyses based on time series. However, for geographical systems, spatial signal analyses are as important as temporal signal analyses. Nonstationary spatial and temporal…

Physics and Society · Physics 2020-12-29 Yanguang Chen , Yuqing Long

Traffic-light modelling is a complex task, because many factors have to be taken into account. In particular, capturing all traffic flows in one model can significantly complicate the model. Therefore, several realistic features are…

Probability · Mathematics 2022-08-04 Rik W. Timmerman , Marko A. A. Boon

Perimeter control is an effective urban traffic management strategy that regulates inflow to congested urban regions using aggregate network dynamics. While existing approaches primarily optimize system-level efficiency, such as total…

Systems and Control · Electrical Eng. & Systems 2026-04-10 Kevin Riehl , Lea Künstler , Ying-Chuan Ni , Anastasia Psarou , Shaimaa K. El-Baklish , Anastasios Kouvelas , Michail A. Makridis

By analyzing empirical time headway distributions of traffic flow, a hypothesis about the underlying stochastic process can be drawn. The results found lead to the assumption that the headways $T_i$ of individual vehicles follow a linear…

Other Condensed Matter · Physics 2007-05-23 Peter Wagner

Robust prediction of citywide traffic flows at different time periods plays a crucial role in intelligent transportation systems. While previous work has made great efforts to model spatio-temporal correlations, existing methods still…

Machine Learning · Computer Science 2024-03-07 Jiahao Ji , Jingyuan Wang , Chao Huang , Junjie Wu , Boren Xu , Zhenhe Wu , Junbo Zhang , Yu Zheng

We consider transformations of deterministic and random signals governed by simple dynamical mappings. It is shown that the resulting signal can be a random process described in terms of fractal distributions and fractal domain integrals.…

Mathematical Physics · Physics 2007-11-22 Vladimir Zverev , Boris Rubinstein

Simple physical models based on fluid mechanics have long been used to understand the flow of vehicular traffic on freeways; analytically tractable models of flow on an urban grid, however, have not been as extensively explored. In an ideal…

Physics and Society · Physics 2013-10-21 Mark J Panaggio , Bertrand J Ottino-Löffler , Peiguang Hu , Daniel M Abrams

In this paper, we extended road-based topological analysis to both nationwide and urban road networks, and concentrated on a sensitivity study with respect to the formation of self-organized natural roads based on the Gestalt principle of…

Data Analysis, Statistics and Probability · Physics 2008-07-14 Bin Jiang , Sijian Zhao , Junjun Yin

We present large scale and detailed analysis of the microscopic empirical data of the traffic flow, focusing on the non-linear interactions between the vehicles when the traffic is congested. By implementing a "renormalisation" procedure…

Adaptation and Self-Organizing Systems · Physics 2016-03-15 Bo Yang , Ji Wei Yoon , Christopher Monterola

Dynamical systems in nature such as fluid flows, heart beat patterns, rainfall variability, stock market price fluctuations, etc. exhibit selfsimilar fractal fluctuations on all scales in space and time. Power spectral analyses of fractal…

General Physics · Physics 2007-05-23 A. M. Selvam

It is shown that the branch of the empirical fundamental diagram for congested traffic strongly depends both on the type of the congested pattern at a freeway bottleneck and on the freeway location where the fundamental diagram is measured.…

Statistical Mechanics · Physics 2007-05-23 Boris S. Kerner

Based on fluid-dynamic and many-particle (car-following) simulations of traffic flows in (urban) networks, we study the problem of coordinating incompatible traffic flows at intersections. Inspired by the observation of self-organized…

Physics and Society · Physics 2009-11-13 Stefan Lämmer , Dirk Helbing

We study the dynamics of networks with coupling delay, from which the connectivity changes over time. The synchronization properties are shown to depend on the interplay of three time scales: the internal time scale of the dynamics, the…

Statistical Mechanics · Physics 2018-12-26 Otti D'Huys , Javier Rodríguez-Laguna , Manuel Jiménez , Elka Korutcheva , Wolfgang Kinzel

The improved city clustering algorithm can be used to identify urban boundaries on a digital map, and the results are a set of isolines. The relationships between the urban measurements within the variable boundaries follow allometric…

Physics and Society · Physics 2019-07-02 Yanguang Chen , Yihan Wang , Xijing Li

The knowledge about the true nature of the traffic in computer networking is a key requirement in the design of such networks. The phenomenon of self-similarity is a characteristic of the traffic of current client/server packet networks in…

Networking and Internet Architecture · Computer Science 2020-05-22 Ernande F. Melo , H. M. de Oliveira

Traffic flow forecasting is a crucial task in transportation management and planning. The main challenges for traffic flow forecasting are that (1) as the length of prediction time increases, the accuracy of prediction will decrease; (2)…

Artificial Intelligence · Computer Science 2024-05-13 Jianli Xiao , Baichao Long

Kinetics of collision processes with linear mixing rules are investigated analytically. The velocity distribution becomes self-similar in the long time limit and the similarity functions have algebraic or stretched exponential tails. The…

Statistical Mechanics · Physics 2007-05-23 Daniel ben-Avraham , Eli Ben-Naim , Katja Lindenberg , Alexandre Rosas

For a given pcf self-similar fractal, a certain network (weighted graph) is constructed whose ideal boundary is (homeomorphic to) the fractal. This construction is the first representation of a connected self-similar fractal as the boundary…

Probability · Mathematics 2011-04-12 Erin P. J. Pearse

Existing traffic control systems only possess a local perspective over the multiple scales of traffic evolution, namely the intersection level, the corridor level, and the region level respectively. But luckily, despite its complex…

Systems and Control · Electrical Eng. & Systems 2023-01-25 Cristian Axenie , Margherita Grossi