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Related papers: A Mixed-Fractal Model for Network Traffic

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This work introduces the multidimensional Graph Fourier Transformation Neural Network (GFTNN) for long-term trajectory predictions on highways. Similar to Graph Neural Networks (GNNs), the GFTNN is a novel network architecture that operates…

Machine Learning · Computer Science 2023-05-15 Marion Neumeier , Andreas Tollkühn , Michael Botsch , Wolfgang Utschick

While macroscopic traffic flow models consider traffic as a fluid, microscopic traffic flow models describe the dynamics of individual vehicles. Capturing macroscopic traffic phenomena remains a challenge for microscopic models, especially…

Computational Engineering, Finance, and Science · Computer Science 2023-08-03 Niklas Kolbe , Moritz Berghaus , Eszter Kalló , Michael Herty , Markus Oeser

In this study, we provide a novel approach for modelling the mixed traffic flow. The basic idea is to integrate models for nonmotorized vehicles (nm-vehicles) with models for motorized vehicles (m-vehicles). Based on the idea, a model for…

Physics and Society · Physics 2007-07-10 X. M. Zhao , B. Jia , Z. Y. Gao

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

We show analytically that abrupt structural transitions can arise in functionally optimal networks, driven by small changes in the level of transport congestion. Our findings are based on an exactly solvable model system which mimics a…

Physics and Society · Physics 2016-09-08 Timothy C. Jarrett , Douglas J. Ashton , Mark Fricker , Neil F. Johnson

An exclusion particle model is considered as a highly simplified model of a limit order market. Its price behavior reproduces the well known crossover from over-diffusion (Hurst exponent H>1/2) to diffusion (H=1/2) when the time horizon is…

Statistical Mechanics · Physics 2016-08-31 R. D. Willmann , G. M. Schuetz , D. Challet

The new concept of multilevel network is introduced in order to embody some topological properties of complex systems with structures in the mesoscale which are not completely captured by the classical models. This new model, which…

Computational fluid dynamics (CFD) simulations of complex fluid flows in energy systems are prohibitively expensive due to strong nonlinearities and multiscale-multiphysics interactions. In this work, we present a transformer-based modeling…

Fluid Dynamics · Physics 2026-04-06 Kiran Yalamanchi , Shivam Barwey , Ibrahim Jarrah , Pinaki Pal

A new statistical based model approach to characterize a user's behavior in an Internet access link is presented. The real patterns of Internet traffic in a heterogeneous Campus Network are studied. We find three clearly different patterns…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Carmen Pellicer-Lostao , Daniel Morato , Ricardo Lopez-Ruiz

We investigate a model of transportation networks with nonlinear elements which may represent local shortage of resources. Frustrations arise from competition for resources. When the initial resources are uniform, different regimes with…

Disordered Systems and Neural Networks · Physics 2009-08-06 C. H. Yeung , K. Y. Michael Wong

Networks are widely used in the biological, physical, and social sciences as a concise mathematical representation of the topology of systems of interacting components. Understanding the structure of these networks is one of the outstanding…

Data Analysis, Statistics and Probability · Physics 2007-06-21 M. E. J. Newman , E. A. Leicht

When a fluid comprised of multiple phases or constituents flows through a network, non-linear phenomena such as multiple stable equilibrium states and spontaneous oscillations can occur. Such behavior has been observed or predicted in a…

Fluid Dynamics · Physics 2015-06-05 Casey M. Karst , Brian D. Storey , John B. Geddes

This paper presents a new approach to the modeling of vehicular traffic flows on road networks based on kinetic equations. While in the literature the problem has been extensively studied by means of macroscopic hydrodynamic models, to date…

Physics and Society · Physics 2014-11-12 Luisa Fermo , Andrea Tosin

This paper is concerned with a fluidodynamic model for traffic flow. More precisely, we consider a single conservation law, deduced from conservation of the number of cars, defined on a road network that is a collection of roads with…

Analysis of PDEs · Mathematics 2007-05-23 G. M. Coclite , B. Piccoli

This paper discusses the usage of network traffic properties in passive network monitoring which are used in recognizing and identifying anomaly.

Networking and Internet Architecture · Computer Science 2013-05-01 Gobithasan Rudrusamy , Azrudin Ahmad , Rahmat Budiarto , Azman Samsudin , Sureswaran Ramadass

In this manuscript we review new ideas and first results on application of the Graphical Models approach, originated from Statistical Physics, Information Theory, Computer Science and Machine Learning, to optimization problems of network…

Systems and Control · Computer Science 2017-02-08 Michael Chertkov , Sidhant Misra , Marc Vuffray , Dvijotham Krishnamurty , Pascal Van Hentenryck

Modeling and simulating movement of vehicles in established transportation infrastructures, especially in large urban road networks is an important task. It helps with understanding and handling traffic problems, optimizing traffic…

Systems and Control · Electrical Eng. & Systems 2021-06-09 Renátó Besenczi , Norbert Bátfai , Péter Jeszenszky , Roland Major , Fanny Monori , Márton Ispány

One-dimensional models are presented for transitional shear flows. The models have two variables corresponding to turbulence intensity and mean shear. These variables evolve according to simple equations based on known properties of…

Fluid Dynamics · Physics 2015-05-28 Dwight Barkley

Traffic prediction is a fundamental and vital task in Intelligence Transportation System (ITS), but it is very challenging to get high accuracy while containing low computational complexity due to the spatiotemporal characteristics of…

Artificial Intelligence · Computer Science 2018-11-05 Xiaoyu Wang , Cailian Chen , Yang Min , Jianping He , Bo Yang , Yang Zhang

This paper studies a stochastic model that describes the evolution of vehicle densities in a road network. It is consistent with the class of (deterministic) kinematic wave models, which describe traffic flows on the basis of conservation…

Probability · Mathematics 2021-02-11 Michel Mandjes , Jaap Storm
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