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We develop a probabilistic framework for global modeling of the traffic over a computer network. This model integrates existing single-link (-flow) traffic models with the routing over the network to capture the global traffic behavior. It…

Networking and Internet Architecture · Computer Science 2010-05-25 Stilian A. Stoev , George Michailidis , Joel Vaughan

Inspired by studies on the airports' network and the physical Internet, we propose a general model of weighted networks via an optimization principle. The topology of the optimal network turns out to be a spanning tree that minimizes a…

Physics and Society · Physics 2009-11-11 Marc Barthelemy , Alessandro Flammini

This paper introduces a new macroscopic perspective for simulating transportation networks. The idea is to look at the network as connected nodes. Each node sends an information package to its neighbors. Basically, the information package…

Dynamical Systems · Mathematics 2024-07-19 Omar Mansour , Tomer Toledo , Shadi Haj-Yahia , Wafa Elias

Congestion emerges when high demand peaks put transportation systems under stress. Understanding the interplay between the spatial organization of demand, the route choices of citizens, and the underlying infrastructures is thus crucial to…

Physics and Society · Physics 2022-11-29 Aleix Bassolas , Sergio Gómez , Alex Arenas

Stochastic network calculus is a theory for stochastic service guarantee analysis of computer communication networks. In the current stochastic network calculus literature, its traffic and server models are typically based on the cumulative…

Networking and Internet Architecture · Computer Science 2009-06-11 J. Xie , Y. Jiang

We present in this article an algebraic approach to model and simulate road traffic networks. By defining a set of road traffic systems and adequate concatenating operators in that set, we show that large regular road networks can be easily…

Optimization and Control · Mathematics 2014-06-27 Nadir Farhi , Habib Haj-Salem , Jean-Patrick Lebacque

We propose a macroscopic traffic network flow model suitable for analysis as a dynamical system, and we qualitatively analyze equilibrium flows as well as convergence. Flows at a junction are determined by downstream supply of capacity as…

Systems and Control · Computer Science 2015-05-25 Samuel Coogan , Murat Arcak

We propose and study a model of traffic in communication networks. The underlying network has a structure that is tunable between a scale-free growing network with preferential attachments and a random growing network. To model realistic…

Networking and Internet Architecture · Computer Science 2008-06-12 Zonghua Liua , Weichuan Ma , Huan Zhang , Yin Sun , P. M. Hui

We propose three models for the traffic of vehicles within a network formed by sites (cities, car-rental agencies, parking lots, etc.) and connected by two-way arteries (roads, highways), that allow forecasting the vehicular flux in a…

Physics and Society · Physics 2017-10-25 Dino Otero , Diógenes Galetti , Salomon S. Mizrahi

We have developed a steady state theory of complex transport networks used to model the flow of commodity, information, viruses, opinions, or traffic. Our approach is based on the use of the Markov chains defined on the graph…

Physics and Society · Physics 2009-11-13 D. Volchenkov , Ph. Blanchard

We extend stochastic network optimization theory to treat networks with arbitrary sample paths for arrivals, channels, and mobility. The network can experience unexpected link or node failures, traffic bursts, and topology changes, and…

Optimization and Control · Mathematics 2010-01-07 Michael J. Neely

Dynamic transportation networks have been analyzed for years by means of static graph-based indicators in order to study the temporal evolution of relevant network components, and to reveal complex dependencies that would not be easily…

Machine Learning · Statistics 2022-02-25 Hector Rodriguez-Deniz , Mattias Villani , Augusto Voltes-Dorta

We present a fluid-dynamic model for the simulation of urban traffic networks with road sections of different lengths and capacities. The model allows one to efficiently simulate the transitions between free and congested traffic, taking…

Popular Physics · Physics 2007-05-23 Dirk Helbing , Stefan Lämmer , Jean-Patrick Lebacque

Traffic dynamics is universally crucial in analyzing and designing almost any network. This article introduces a novel theoretical approach to analyzing network traffic dynamics. This theory's machinery is based on the notion of traffic…

Multiagent Systems · Computer Science 2024-04-05 Matin Macktoobian , Zhan Shu , Qing Zhao

Many real-world complex systems are well represented as multilayer networks; predicting interactions in those systems is one of the most pressing problems in predictive network science. To address this challenge, we introduce two stochastic…

Physics and Society · Physics 2019-04-03 Marc Tarres-Deulofeu , Antonia Godoy-Lorite , Roger Guimera , Marta Sales-Pardo

Accurate static traffic assignment models are important tools for the assessment of strategic transportation policies. In this article we present a novel approach to partition road networks through network modularity to produce data-driven…

Systems and Control · Electrical Eng. & Systems 2022-11-28 Alexander Roocroft , Giuliano Punzo , Muhamad Azfar Ramli

Traffic prediction is pivotal for rational transportation supply scheduling and allocation. Existing researches into short-term traffic prediction, however, face challenges in adequately addressing exceptional circumstances and integrating…

Computation and Language · Computer Science 2024-05-14 Xiannan Huang

The congestion formation on a urban road network is one of the key issue for the development of a sustainable mobility in the future smart cities. In this work we propose a reductionist approach studying the stationary states of a simple…

Physics and Society · Physics 2024-05-28 Lorenzo Di Meco , Mirko Degli Esposti , Federico Bellisardi , Armando Bazzani

The availability of large scale streaming network data has reinforced the ubiquity of power-law distributions in observations and enabled precision measurements of the distribution parameters. The increased accuracy of these measurements…

Physics and Society · Physics 2021-08-23 Pat Devlin , Jeremy Kepner , Ashley Luo , Erin Meger

Estimation of origin-destination (OD) demand plays a key role in successful transportation studies. In this paper, we consider the estimation of time-varying day-to-day OD flows given data on traffic volumes in a transportation network for…