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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

Different families of models first developed for fluid mechanics have been extended to road, pedestrian, or intracellular transport. These models allow to describe the systems at different scales and to account for different aspects of…

Physics and Society · Physics 2017-09-20 Cecile Appert-Rolland

We present a simple model reproducing the long-range autocorrelations and the power spectrum of the web traffic. The model assumes the traffic as Poisson flow of files with size distributed according to the power-law. In this model the…

Networking and Internet Architecture · Computer Science 2007-05-23 V. Gontis , B. Kaulakys , J. Ruseckas

In this thesis, Riemann problems and Godunov methods are developed for higher order traffic flow models. A rigorous analysis of the first order traffic flow model of inhomogeneous road is presented. A two-level simulation framework of…

Dynamical Systems · Mathematics 2009-09-29 Wenlong Jin

A macroscopic model is proposed to depict the traffic dynamics involved in urban traffic systems. The link dynamics are described based on the cell-transmission model and bounded by the link capacities, while the flow dynamics are proposed…

Optimization and Control · Mathematics 2020-02-25 Yicheng Zhang

This paper firstly show that a recent model (Tian et al., Transpn. Res. B 71, 138-157, 2015) is not able to well replicate the evolution concavity in traffic flow, i.e. the standard deviation of vehicles increases in a concave/linear way…

Cellular Automata and Lattice Gases · Physics 2015-07-16 Junfang Tian , Rui Jiang , Guangyu Li , Martin Treiber , Ning Jia , Shoufeng Ma

Self-similarity, a fractal characteristic of traffic flow dynamics, is widely recognized in transportation engineering and physics. However, its practical application in real-world traffic scenarios remains limited. Conversely, the traffic…

Signal Processing · Electrical Eng. & Systems 2024-08-05 Shakib Mustavee , Shaurya Agarwal

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

Platooning of connected and autonomous vehicles (CAVs) has a significant potential for throughput improvement. However, the interaction between CAVs and non-CAVs may limit the practically attainable improvement due to platooning. To better…

Optimization and Control · Mathematics 2020-11-16 Li Jin , Mladen Cicic , Karl H. Johansson , Saurabh Amin

Efficient and accurate motion prediction is crucial for ensuring safety and informed decision-making in autonomous driving, particularly under dynamic real-world conditions that necessitate multi-modal forecasts. We introduce TrajFlow, a…

Computer Vision and Pattern Recognition · Computer Science 2025-07-08 Qi Yan , Brian Zhang , Yutong Zhang , Daniel Yang , Joshua White , Di Chen , Jiachao Liu , Langechuan Liu , Binnan Zhuang , Shaoshuai Shi , Renjie Liao

Particle tracking has several important applications for solute transport studies in aquifer systems. Travel time distribution at observation points, particle coordinates in time and streamlines are some practical results providing…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-02-28 Rodrigo Pérez-Illanes , Daniel Fernàndez-Garcia

Multiplicative processes and multifractals have earned increased popularity in applications ranging from hydrodynamic turbulence to computer network traffic, from image processing to economics. We analyse the multifractality of the recently…

Data Analysis, Statistics and Probability · Physics 2009-12-28 B. Kaulakys , M. Alaburda , V. Gontis , T. Meskauskas

We describe an approach for modeling fluid concentration profiles in grid-based microfluidic chips for fluid mixing. This approach provides an algorithm that predicts fluid concentrations at the chip outlets. Our algorithm significantly…

Computational Engineering, Finance, and Science · Computer Science 2019-11-19 Huong Luu , Marek Chrobak

The traffic modelling often keeps the mesoscopic scale in the theoretical sphere because the integro-differential nature of its equations. In the present work we suggest to use the lattice Boltzmann method to overcome these difficulties. In…

Physics and Society · Physics 2018-10-01 Romain Noël , Laurent Navarro , Guy Courbebaisse

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

Motivated by the need for accurate traffic flow prediction in transportation management, we propose a functional data method to analyze traffic flow patterns and predict future traffic flow. In this study we approach the problem by sampling…

Applications · Statistics 2013-01-14 Jeng-Min Chiou

This study addresses multilane vehicular traffic modelling, focusing on the transition between microscopic (individual vehicle-based) to macroscopic (aggregate flow-based) descriptions. While previous research on multilane traffic has…

Physics and Society · Physics 2025-09-09 Matteo Piu , Giuseppe Visconti , Gabriella Puppo

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

In this article we propose to extend the model of simulation of dispersions in turning based on the geometrical specifications. Our study is articulated around two trends of development: the first trend relates to the geometrical model. The…

General Physics · Physics 2008-12-18 Arnaud Lefebvre , Valery Wolff

We present simulations of congested traffic in circular and open systems with a non-local, gas-kinetic-based traffic model and a novel car-following model. The model parameters are all intuitive and can be easily calibrated. Micro- and…

Statistical Mechanics · Physics 2007-05-23 Dirk Helbing , Ansgar Hennecke , Vladimir Shvetsov , Martin Treiber