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We propose a model for the World Wide Web graph that couples the topological growth with the traffic's dynamical evolution. The model is based on a simple traffic-driven dynamics and generates weighted directed graphs exhibiting the…

Networking and Internet Architecture · Computer Science 2007-05-23 Alain Barrat , Marc Barthelemy , Alessandro Vespignani

Modeling complex spatiotemporal dependencies in correlated traffic series is essential for traffic prediction. While recent works have shown improved prediction performance by using neural networks to extract spatiotemporal correlations,…

Machine Learning · Computer Science 2023-09-08 Junpeng Lin , Ziyue Li , Zhishuai Li , Lei Bai , Rui Zhao , Chen Zhang

Nowadays, traffic monitoring systems have access to real time data, e.g. through GPS devices. We propose a new traffic model able to take into account these data and, hence, able to describe the effects of unpredictable accidents. The well…

Analysis of PDEs · Mathematics 2014-11-11 Rinaldo M. Colombo , Francesca Marcellini

Models for the dynamics of congestion control generally involve systems of coupled differential equations. Universally, these models assume that traffic sources saturate the maximum transmissions allowed by the congestion control method.…

Networking and Internet Architecture · Computer Science 2024-03-25 Harvinder Lehal , Natchanon Luangsomboon , Jörg Liebeherr

The ability to model and predict ego-vehicle's surrounding traffic is crucial for autonomous pilots and intelligent driver-assistance systems. Acceleration prediction is important as one of the major components of traffic prediction. This…

Machine Learning · Computer Science 2020-05-11 Jianyu Su , Peter A. Beling , Rui Guo , Kyungtae Han

This paper pioneers a nonroutine network traffic prediction (NNTP) method to prospectively provide a theoretical basis for avoiding large-scale network disruption by accurately predicting bursty traffic. Certain events that impact user…

Networking and Internet Architecture · Computer Science 2024-10-22 Liangzhi Wang , Haoyuan Zhu , Jiliang Zhang , Zitian Zhang , Jie Zhang

Introducing Internet traffic anomaly detection mechanism based on large deviations results for empirical measures. Using past traffic traces we characterize network traffic during various time-of-day intervals, assuming that it is…

Networking and Internet Architecture · Computer Science 2013-08-27 A. S. Syed Navaz , S. Gopalakrishnan , R. Meena

We define a minimal model of traffic flows in complex networks containing the most relevant features of real routing schemes, i.e. a trade--off strategy between topological-based and traffic-based routing. The resulting collective behavior,…

Physics and Society · Physics 2009-11-13 Daniele De Martino , Luca Dall'Asta , Ginestra Bianconi , Matteo Marsili

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 forecasting is a core element of intelligent traffic monitoring system. Approaches based on graph neural networks have been widely used in this task to effectively capture spatial and temporal dependencies of road networks. However,…

Machine Learning · Computer Science 2022-03-10 Yaobin Xu , Weitang Liu , Zhongyi Jiang , Zixuan Xu , Tingyun Mao , Lili Chen , Mingwei Zhou

We introduce a general framework for undirected graphical models. It generalizes Gaussian graphical models to a wide range of continuous, discrete, and combinations of different types of data. The models in the framework, called exponential…

Statistics Theory · Mathematics 2019-06-18 Rui Zhuang , Noah Simon , Johannes Lederer

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

In the setting of a recently developed cellular stochastic traffic flow model, it has shown that the joint per-cell vehicle densities, as a function of time, can be accurately approximated by a Gaussian process, which has the attractive…

Optimization and Control · Mathematics 2020-07-16 Michel Mandjes , Jaap Storm

The significant increase in world population and urbanisation has brought several important challenges, in particular regarding the sustainability, maintenance and planning of urban mobility. At the same time, the exponential increase of…

Machine Learning · Computer Science 2021-04-28 João Rico , José Barateiro , Arlindo Oliveira

This paper introduces a new approach to hybrid traffic modeling, along with its implementation in software. The software allows modelers to assign traffic models to individual links in a network. Each model implements a series of methods,…

Mathematical Software · Computer Science 2019-08-13 Gabriel Gomes

We propose a framework for generating a signal control policy for a traffic network of signalized intersections to accomplish control objectives expressible using linear temporal logic. By applying techniques from model checking and formal…

Systems and Control · Computer Science 2016-06-23 Samuel Coogan , Ebru Aydin Gol , Murat Arcak , Calin Belta

Network models are widely used to represent relational information among interacting units and the structural implications of these relations. Recently, social network studies have focused a great deal of attention on random graph models of…

Applications · Statistics 2010-10-06 Mark S. Handcock , Krista J. Gile

With rapid expansion of cellular networks and the proliferation of mobile devices, cellular traffic data exhibits complex temporal dynamics and spatial correlations, posing challenges to accurate traffic prediction. Previous methods often…

Networking and Internet Architecture · Computer Science 2026-02-20 Ziyi Li , Hui Ma , Fei Xing , Chunjiong Zhang , Ming Yan

We present a network formulation for a traffic flow model with nonlocal velocity in the flux function. The modeling framework includes suitable coupling conditions at intersections to either ensure maximum flux or distribution parameters.…

Numerical Analysis · Mathematics 2022-09-08 Jan Friedrich , Simone Göttlich , Maximilian Osztfalk

We introduce the Iterated Global model as a deterministic graph process that simulates several properties of complex networks. In this model, for every set $S$ of nodes of a prescribed cardinality, we add a new node that is adjacent to…

Discrete Mathematics · Computer Science 2020-02-21 Anthony Bonato , Erin Meger