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We analyze about two hundred naturally occurring networks with distinct dynamical origins to formally test whether the commonly assumed hypothesis of an underlying scale-free structure is generally viable. This has recently been questioned…

Traffic waves, the spatiotemporal propagation of congestion, are a key feature of traffic flow. As Adaptive Cruise Control (ACC) systems gain widespread adoption and show promise for improving both efficiency and safety, understanding how…

Analysis of PDEs · Mathematics 2026-02-03 Zihao Li , Quyuan Lin , Fan Pu , Soyoung Ahn , Yunlong Zhang , Jiwan Jiang , Yang Zhou

In this paper we study the small-world network model of Watts and Strogatz, which mimics some aspects of the structure of networks of social interactions. We argue that there is one non-trivial length-scale in the model, analogous to the…

Statistical Mechanics · Physics 2009-10-31 M. E. J. Newman , D. J. Watts

In this report we show that in a planar exponentially growing network consisting of $N$ nodes, congestion scales as $O(N^2/\log(N))$ independently of how flows may be routed. This is in contrast to the $O(N^{3/2})$ scaling of congestion in…

Metric Geometry · Mathematics 2012-01-23 Iraj Saniee , Gabriel H. Tucci

We prove the well-posedness of a system of balance laws inspired by [8], describing macro-scopically the traffic flow on a multi-lane road network. Motivated by real applications, we allow for the the presence of space discontinuities both…

Analysis of PDEs · Mathematics 2019-04-10 Paola Goatin , Elena Rossi

This paper is concerned with the characterization of the relationship between topology and traffic dynamics. We use a model of network generation that allows the transition from random to scale free networks. Specifically, we consider three…

Networking and Internet Architecture · Computer Science 2007-05-23 David Arrowsmith , Mario di Bernardo , Francesco Sorrentino

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 dynamical properties of road traffic time series from North-Rhine Westphalian motorways are investigated. The article shows that road traffic dynamics is well described as a persistent stochastic process with two fixed points…

Data Analysis, Statistics and Probability · Physics 2007-05-23 Helge Siegel , Dennis Belomestnyi

Congestion in network occurs due to exceed in aggregate demand as compared to the accessible capacity of the resources. Network congestion will increase as network speed increases and new effective congestion control methods are needed,…

Networking and Internet Architecture · Computer Science 2009-12-08 Shakeel Ahmad , Adli Mustafa , Bashir Ahmad , Arjamand Bano , Al-Sammarraie Hosam

We analyse the statistical properties of public transport networks. These networks are defined by a set of public transport routes (bus lines) and the stations serviced by these. For larger networks these appear to possess a scale-free…

Disordered Systems and Neural Networks · Physics 2007-05-23 C. von Ferber , Yu. Holovatch , V. Palchykov

Public transportation is a fundamental infrastructure for the daily mobility in cities. Although its capacity is prepared for the usual demand, congestion may rise when huge crowds concentrate in special events such as massive…

Physics and Society · Physics 2020-02-27 Aleix Bassolas , Riccardo Gallotti , Fabio Lamanna , Maxime Lenormand , Jose J. Ramasco

The simulation of traffic flow on networks requires knowledge on the behavior across traffic intersections. For macroscopic models based on hyperbolic conservation laws there exist nowadays many ad-hoc models describing this behavior. Based…

Numerical Analysis · Mathematics 2023-08-21 Michael Herty , Niklas Kolbe

Traffic congestion at urban-scale levels occurs when road network supply is insufficient compared with demand. Therefore, the relationship between supply and demand has been extensively investigated in the literature. Especially the impact…

Applications · Statistics 2023-10-26 Kota Nagasaki , Toru Seo

We derive the finite size dependence of the clustering coefficient of scale-free random graphs generated by the configuration model with degree distribution exponent $2<\gamma<3$. Degree heterogeneity increases the presence of triangles in…

Disordered Systems and Neural Networks · Physics 2015-06-05 Pol Colomer-de-Simon , Marian Boguna

Recently we proposed an extension to the traffic model of Aw, Rascle and Greenberg. The extended traffic model can be written as a hyperbolic system of balance laws and numerically reproduces the reverse $\lambda$ shape of the fundamental…

Physics and Society · Physics 2009-11-11 Florian Siebel , Wolfram Mauser

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

A microscopic theory of control of spatial-temporal congested traffic pattern at freeway bottlenecks is presented. Based on empirical spatial-temporal features of congested patterns at freeway bottlenecks which have recently been found,…

Statistical Mechanics · Physics 2009-11-10 Boris S. Kerner

Traffic breakdown, as one of the most puzzling traffic flow phenomena, is characterized by sharply decreasing speed, abruptly increasing density and in particular suddenly plummeting capacity. In order to clarify its root mechanisms and…

Physics and Society · Physics 2017-04-04 Zuojun Wang , Junfang Tian , Rui Jiang , Xiaopeng Li , Shou Feng Ma

This paper considers the problem of routing and rebalancing a shared fleet of autonomous (i.e., self-driving) vehicles providing on-demand mobility within a capacitated transportation network, where congestion might disrupt throughput. We…

Multiagent Systems · Computer Science 2017-08-15 Rick Zhang , Federico Rossi , Marco Pavone

Traffic congestion in metropolitan areas presents a formidable challenge with far-reaching economic, environmental, and societal ramifications. Therefore, effective congestion management is imperative, with traffic signal control (TSC)…

Systems and Control · Electrical Eng. & Systems 2024-06-13 Maonan Wang , Aoyu Pang , Yuheng Kan , Man-On Pun , Chung Shue Chen , Bo Huang