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A modular fluid-flow model for network congestion analysis and control is proposed. The model is derived from an information conservation law stating that the information is either in transit, lost or received. Mathematical models of…

Networking and Internet Architecture · Computer Science 2012-08-07 Corentin Briat , Emre Altug Yavuz , Gunnar Karlsson

In this paper, we propose a nonlinear transport model for an aviation network. The takeoff rate from an airport is characterized by the degree of ground congestion. Due to the effect of "surface congestion," the performance of an airport…

Physics and Society · Physics 2015-06-23 Takahiro Ezaki , Katsuhiro Nishinari

Many complex networks are known to exhibit sudden transitions between alternative steady states with contrasting properties. Such a sudden transition demonstrates a network's resilience, which is the ability of a system to persist in the…

Adaptation and Self-Organizing Systems · Physics 2021-02-24 Subhendu Bhandary , Taranjot Kaur , Tanmoy Banerjee , Partha Sharathi Dutta

We study the dynamics of flow-networks in porous media using a pore-network model. First, we consider a class of erosion dynamics assuming a constitutive law depending on flow rate, local velocities, or shear stress at the walls. We show…

Fluid Dynamics · Physics 2022-06-22 Ahmad Zareei , Deng Pan , Ariel Amir

This work proposes to model the space environment as a stochastic dynamic network where each node is a group of objects of a given class, or species, and their relationship is represented by stochastic links. A set of stochastic dynamic…

Dynamical Systems · Mathematics 2025-05-23 Yirui Wang , Pietro De Marchi , Massimiliano Vasile

The paper has two objectives. The first is to study rigorously the transient behavior of some P2P networks whenever information is replicated and disseminated according to epidemic-like dynamics. The second is to use the insight gained from…

Networking and Internet Architecture · Computer Science 2012-01-17 Eitan Altman , Philippe Nain , Adam Shwartz , Yuedong Xu

Traffic prediction is a fundamental task in many real applications, which aims to predict the future traffic volume in any region of a city. In essence, traffic volume in a region is the aggregation of traffic flows from/to the region.…

Signal Processing · Electrical Eng. & Systems 2019-06-04 Xian Zhou , Yanyan Shen , Linpeng Huang

This paper proposes a data-driven approach to detect the switching actions and topology transitions in distribution networks. It is based on the real time analysis of time-series voltages measurements. The analysis approach draws on data…

Systems and Control · Computer Science 2016-11-17 Guido Cavraro , Reza Arghandeh , Alexandra von Meier , Kameshwar Poolla

Understanding how packets are routed in Internet is significantly important to Internet measurement and modeling. The conventional solution for route simulation is based on the assumption of unweighted shortest path. However, it has been…

Networking and Internet Architecture · Computer Science 2014-09-30 Mingming Chen , Jichang Zhao , Xiao Liang , Ke Xu

Phase transitions in equilibrium and nonequilibrium systems play a major role in the natural sciences. In dynamical networks, phase transitions organize qualitative changes in the collective behavior of coupled dynamical units. Adaptive…

Adaptation and Self-Organizing Systems · Physics 2023-02-22 Jan Fialkowski , Serhiy Yanchuk , Igor M. Sokolov , Eckehard Schöll , Georg A. Gottwald , Rico Berner

We investigate the percentage of delivering capacities that are actually consumed in a typical traffic dynamics where the capacities are uniformly assigned over a scale-free network. Theoretical analysis, as well as simulations, reveal that…

Statistical Mechanics · Physics 2007-05-23 Shan He , Sheng Li , Hongru Ma

Many real-world communication networks often have hybrid nature with both fixed nodes and moving modes, such as the mobile phone networks mainly composed of fixed base stations and mobile phones. In this paper, we discuss the information…

Networking and Internet Architecture · Computer Science 2017-10-11 Rongbin Chen , Wei Cui , Cunlai Pu , Jie Li , Bo Ji , Konstantinos Gakis , Panos M. Pardalos

An exactly solvable model for the rewiring dynamics of weighted, directed networks is introduced. Simulations indicate that the model exhibits two types of condensation: (i) a phase in which, for each node, a finite fraction of its total…

Statistical Mechanics · Physics 2009-11-11 A. G. Angel , T. Hanney , M. R. Evans

In this paper, we study the influence of technology, traffic properties and price trends on optimized design of a reference IP-over-WDM network with rich underlying fiber topology. In each network node, we investigate the optimal degree of…

Networking and Internet Architecture · Computer Science 2012-08-07 Ulrich Menne , Christian Raack , Roland Wessaly , Daniel Kharitonov

In this article, we investigate an artificial traffic model on scale-free networks. Instead of using the routing strategy of the shortest path, a generalized routing algorithm is introduced to improve the transportation throughput, which is…

Physics and Society · Physics 2007-05-23 Shi-Min Cai , Gang Yan , Tao Zhou , Pei-Ling Zhou , Zhong-Qian Fu , Bing-Hong Wang

As one of the main subjects of investigation in data science, network science has been demonstrated a wide range of applications to real-world networks analysis and modeling. For example, the pervasive presence of structural or topological…

Logic in Computer Science · Computer Science 2020-09-28 Felipe S. Abrahão , Klaus Wehmuth , Artur Ziviani

Adaptive management of traffic congestion in the Internet is a complex problem that can gain useful insights from a dynamical approach. In this paper we propose and analyze a one-dimensional, discrete-time nonlinear model for Internet…

Optimization and Control · Mathematics 2025-01-22 José M. Amigó , Guillem Duran , Angel Giménez , Oscar Martínez-Bonastre , José Valero

In order to develop a toy model for car's traffic in cities, in this paper we analyze, by means of numerical simulations, the transition among fluid regimes and a congested jammed phase of the flow of "kinetically constrained" hard spheres…

Statistical Mechanics · Physics 2009-07-30 Adriano Barra , Gabriele Achler

We study a mean field model of a complex network, focusing on edge and triangle densities. Our first result is the derivation of a variational characterization of the entropy density, compatible with the infinite node limit. We then…

Mathematical Physics · Physics 2015-06-12 Charles Radin , Lorenzo Sadun

We study structural changes of adaptive networks in the co-evolutionary susceptible-infected-susceptible (SIS) network model along its phase transition. We clarify to what extent these changes can be used as early-warning signs for the…

Physics and Society · Physics 2018-11-07 Leonhard Horstmeyer , Christian Kuehn , Stefan Thurner