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In this work we present a model of an air transportation traffic system from the complex network modelling viewpoint. In the network, every node corresponds to a given airport, and two nodes are connected by means of flight routes. Each…

Physics and Society · Physics 2015-05-13 Lucas Lacasa , Miguel Cea , Massimiliano Zanin

Stochastic effects significantly influence the dynamics of traffic flows. Many dynamic traffic assignment (DTA) models attempt to capture these effects by prescribing a specific ratio that determines how flow splits across different routes…

Optimization and Control · Mathematics 2024-09-20 Lukas Graf , Tobias Harks , Michael Markl

The evolution of complex transport networks is investigated under three strategies of link removal: random, intentional attack and "Pseudo-Darwinian" strategy. At each evolution step and regarding the selected strategy, one removes either a…

Physics and Society · Physics 2021-10-14 Geoffroy Berthelot , Liubov Tupikina , Min-Yeong Kang , Bernard Sapoval , Denis S. Grebenkov

The assignment flow recently introduced in the J. Math. Imaging and Vision 58/2 (2017), constitutes a high-dimensional dynamical system that evolves on an elementary statistical manifold and performs contextual labeling (classification) of…

Dynamical Systems · Mathematics 2021-11-23 Artjom Zern , Alexander Zeilmann , Christoph Schnörr

This paper studies the problem of traffic flow forecasting, which aims to predict future traffic conditions on the basis of road networks and traffic conditions in the past. The problem is typically solved by modeling complex…

Machine Learning · Computer Science 2023-09-22 Yusheng Zhao , Xiao Luo , Wei Ju , Chong Chen , Xian-Sheng Hua , Ming Zhang

Traffic flow is a very prominent example of a driven non-equilibrium system. A characteristic phenomenon of traffic dynamics is the spontaneous and abrupt drop of the average velocity on a stretch of road leading to congestion. Such a…

Physics and Society · Physics 2012-10-29 Florian Knorr , Michael Schreckenberg

The MGT fluid model has been used extensively to guide designs of AQM schemes aiming to alleviate adverse effects of Internet congestion. In this paper, we provide a new analysis of a TCP/AQM system that aims to improve the accuracy of the…

Networking and Internet Architecture · Computer Science 2013-07-05 Qin Xu , Fan Li , Jinsheng Sun , Moshe Zukerman

Collaborative edge computing (CEC) is an emerging paradigm where heterogeneous edge devices collaborate to fulfill computation tasks, such as model training or video processing, by sharing communication and computation resources.…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-05-27 Jinkun Zhang , Yuezhou Liu , Edmund Yeh

As one of the important tools for spatial feature extraction, graph convolution has been applied in a wide range of fields such as traffic flow prediction. However, current popular works of graph convolution cannot guarantee spatio-temporal…

Machine Learning · Computer Science 2023-09-15 Tianpu Zhang , Weilong Ding , Mengda Xing

Distributed link-flooding attacks constitute a new class of attacks with the potential to segment large areas of the Internet. Their distributed nature makes detection and mitigation very hard. This work proposes a novel framework for the…

Networking and Internet Architecture · Computer Science 2016-11-09 hristos Liaskos , Vasileios Kotronis , Xenofontas Dimitropoulos

Understanding the dynamics of traffic clusters is crucial for enhancing urban transportation systems, particularly in managing congestion and free-flow states. This study applies computational percolation theory to analyze the formation and…

Physics and Society · Physics 2025-07-30 Yongsung Kwon , Minjin Lee , Mi Jin Lee , Seung-Woo Son

Despite the importance of urban traffic flows, there are only a few theoretical approaches to determine fundamental relationships between macroscopic traffic variables such as the traffic density, the utilization, the average velocity, and…

Physics and Society · Physics 2009-11-13 Dirk Helbing

We consider the freeway network control problem where the aim is to optimize the operation of traffic networks modeled by the Cell Transmission Model via ramp metering and partial mainline demand control. Optimal control problems using the…

Optimization and Control · Mathematics 2018-05-28 Marius Schmitt , John Lygeros

All the existing real world networks are evolving, hence, study of traffic dynamics in these enlarged networks is a challenging task. The critical issue is to optimize the network structure to improve network capacity and avoid traffic…

Networking and Internet Architecture · Computer Science 2018-11-19 Suchi Kumari , Anurag Singh

The simultaneous presence of liquid and gas in porous media increases flow heterogeneity compared to saturated flows. However, so far the impact of saturation on flow statistics and transport dynamics remained unclear. Here, we develop a…

The bulk of the research on Long Term Evolution/Long Term Evolution-Advanced packet scheduling is concentrated in the downlink and the uplink is comparatively less explored. In up-link, channel aware scheduling with throughput maximization…

Networking and Internet Architecture · Computer Science 2020-05-19 Atri Mukhopadhyay , Goutam Das

We study the relation between the average traffic flow and the vehicle density on road networks that we call 2D-traffic fundamental diagram. We show that this diagram presents mainly four phases. We analyze different cases. First, the case…

Optimization and Control · Mathematics 2013-02-06 Nadir Farhi , Maurice Goursat , Jean-Pierre Quadrat

Many networked applications, e.g., in the domain of cyber-physical systems, require strict service guarantees, usually in the form of jitter and latency bounds, for time-triggered traffic flows. It is a notoriously hard problem to compute a…

Networking and Internet Architecture · Computer Science 2022-07-01 Jonathan Falk , Heiko Geppert , Frank Dürr , Sukanya Bhowmik , Kurt Rothermel

Rectified flow (Liu et al., 2022; Liu, 2022; Wu et al., 2023) is a method for defining a transport map between two distributions, and enjoys popularity in machine learning, although theoretical results supporting the validity of these…

Statistics Theory · Mathematics 2025-12-11 Gonzalo Mena , Arun Kumar Kuchibhotla , Larry Wasserman

We first formulate the problem of optimally scheduling air traffic low with sector capacity constraints as a mixed integer linear program. We then use semidefinite relaxation techniques to form a convex relaxation of that problem. Finally,…

Computational Engineering, Finance, and Science · Computer Science 2007-05-23 Alexandre d'Aspremont , Laurent El Ghaoui
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