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The paper investigates the throughput behavior of single-commodity dynamical flow networks governed by monotone distributed routing policies. The networks are modeled as systems of ODEs based on mass conversation laws on directed graphs…

Optimization and Control · Mathematics 2014-05-08 Giacomo Como , Enrico Lovisari , Ketan Savla

The communication networks in real world often couple with each other to save costs, which results in any network does not have a stand-alone function and efficiency. To investigate this, in this paper we propose a transportation model on…

Physics and Society · Physics 2016-12-19 Ming Li , Mao-Bin Hu , Bing-Hong Wang

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 dynamic networks coming from real-world contexts are link streams, i.e. a finite collection of triplets $(u,v,t)$ where $u$ and $v$ are two nodes having a link between them at time $t$. A very large number of studies on these objects…

Social and Information Networks · Computer Science 2018-05-17 Yannick Léo , Christophe Crespelle , Eric Fleury

We perform a simplified Ethernet traffic simulation in order to clarify the physical mechanism of the phase transition behavior which has been experimentally observed in the flow density fluctuation of Internet traffic. In one phase…

Statistical Mechanics · Physics 2009-10-31 Kensuke Fukuda , Hideki Takayasu , Misako Takayasu

Internet is known to display a highly heterogeneous structure and complex fluctuations in its traffic dynamics. Congestion seems to be an inevitable result of user's behavior coupled to the network dynamics and it effects should be…

Disordered Systems and Neural Networks · Physics 2009-11-10 Sergi Valverde , Ricard V. Sole

Controlling the flow and routing of data is a fundamental problem in many distributed networks, including transportation systems, integrated circuits, and the Internet. In the brain, synaptic plasticity rules have been discovered that…

Neural and Evolutionary Computing · Computer Science 2017-04-18 Jonathan Y. Suen , Saket Navlakha

Stability of Wardrop equilibria is analyzed for dynamical transportation networks in which the drivers' route choices are influenced by information at multiple temporal and spatial scales. The considered model involves a continuum of…

Dynamical Systems · Mathematics 2015-03-17 Giacomo Como , Ketan Savla , Daron Acemoglu , Munther A. Dahleh , Emilio Frazzoli

In this paper, we introduce two deterministic models aimed at capturing the dynamics of congested Internet connections. The first model is a continuous-time model that combines a system of differential equations with a sudden change in one…

Networking and Internet Architecture · Computer Science 2007-05-23 Ian Frommer , Eric Harder , Brian Hunt , Ryan Lance , Edward Ott , James Yorke

Congestion and extreme events in transportation networks are emergent phenomena with significant socio-economic implications. In this work, we study congestion and extreme event properties on real urban street (planar) networks drawn from…

Physics and Society · Physics 2025-05-22 Ajay Agarwal , M. S. Santhanam

Named Data Networking (NDN) is a promising Future Internet architecture to support content distribution. Its inherent addressless routing paradigm brings valuable characteristics to improve the transmission robustness and efficiency, e.g.…

Networking and Internet Architecture · Computer Science 2018-08-27 Yuhang Ye , Brian Lee , Ronan Flynn , Niall Murray , Guiming Fang , Jianwen Cao , Yuansong Qiao

Deterministic equilibrium flows in transport networks can be investigated by means of Markov's processes defined on the dual graph representations of the network. Sustained movement patterns are generated by a subset of automorphisms of the…

Physics and Society · Physics 2007-10-30 D. Volchenkov , Ph. Blanchard

In this paper, we study traffic dynamics in scale-free networks in which packets are generated with non-homogeneously selected sources and destinations, and forwarded based on the local routing strategy. We consider two situations of packet…

Physics and Society · Physics 2007-05-23 Rui Jiang , Mao-Bin Hu , Wen-Xu Wang , Gang Yan , Qing-Song Wu , Bing-Hong Wang

Dynamical phase transitions (DPTs) characterize critical changes in system behavior occurring at finite times, providing a lens to study nonequilibrium phenomena beyond conventional equilibrium physics. While extensively studied in quantum…

Physics and Society · Physics 2024-12-10 Jiazhen Liu , Nathaniel M. Aden , Debasish Sarker , Chaoming Song

Modeling how network-level traffic flow changes in the urban environment is useful for decision-making in transportation, public safety and urban planning. The traffic flow system can be viewed as a dynamic process that transits between…

Machine Learning · Computer Science 2022-11-22 Xiaoliang Lei , Hao Mei , Bin Shi , Hua Wei

The effect of the on-ramp and off-ramp positions $i_1$ and $i_2$, respectively, on the one dimensional-cellular automaton traffic flow behaviour, is investigated numerically. The on-ramp and off-ramp rates at $i_1$ and $i_2$ are $\alpha_0$…

Other Condensed Matter · Physics 2007-05-23 Abdelaziz Mhirech , Hamid Ez-Zahraouy , Assia Alaoui Ismaili

Traditional end-to-end congestion control mechanisms assume data transferring happens between each pair user. In contrast, in a P2P network, many peers may locally keep a copy of a specific data object. If the path between a pair of peers…

Networking and Internet Architecture · Computer Science 2010-03-30 Yong-Xiang Zhao , Chang-Jia Chen

In the area of urban transportation networks, a growing number of day-to-day (DTD) traffic dynamic theories have been proposed to describe the network flow evolution, and an increasing amount of laboratory experiments have been conducted to…

Physics and Society · Physics 2023-03-08 Hang Qi , Ning Jia , Xiaobo Qu , Zhengbing He

In this paper, flow models of networks without congestion control are considered. Users generate data transfers according to some Poisson processes and transmit corresponding packet at a fixed rate equal to their access rate until the…

Probability · Mathematics 2012-01-17 Mathieu Feuillet

Network communication using the Internet Protocol (IP) is a pillar of modern Internet applications. IP allows data packets to travel the world through a complex set of interconnected computer networks managed by different operators. How…

Networking and Internet Architecture · Computer Science 2026-02-11 Thomas Dreibholz , Somnath Mazumdar