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We consider a multi-class single server queueing network as a model of a packet switching network. The rates packets are sent into this network are controlled by queues which act as congestion windows. By considering a sequence of…

最优化与控制 · 数学 2010-11-25 Neil Stuart Walton

A model for traffic flow in street networks or material flows in supply networks is presented, that takes into account the conservation of cars or materials and other significant features of traffic flows such as jam formation, spillovers,…

流体动力学 · 物理学 2016-08-14 Dirk Helbing , Jan Siegmeier , Stefan Lämmer

Congestion control is essential for the stability of the Internet and the corresponding algorithms are commonly evaluated for interoperability based on flow-rate fairness. In contrast, video conferencing software such as Zoom uses custom…

网络与互联网体系结构 · 计算机科学 2021-07-05 Constantin Sander , Ike Kunze , Klaus Wehrle , Jan Rüth

We study a simple rate control scheme for a multiclass queuing network for which customers are partitioned into distinct flows that are queued separately at each station. The control scheme discards customers that arrive to the network…

概率论 · 数学 2013-07-16 John Musacchio , Jean Walrand

We model the Internet as a network of interconnected Autonomous Systems which self-organize under an absolute lack of centralized control. Our aim is to capture how the Internet evolves by reproducing the assembly that has led to its actual…

物理与社会 · 物理学 2009-11-11 M. Angeles Serrano , Marian Boguna , Albert Diaz-Guilera

Modern network systems, such as transportation and communication systems, are prone to cyber-physical disruptions and thus suffer efficiency loss. This paper studies network resiliency, in terms of throughput, and develops resilient control…

系统与控制 · 电气工程与系统科学 2025-01-08 Yu Tang , Li Jin

The problem of load balancing in a distribution network under unknown time- varying demand and supply is studied. A set of distributed controllers which regulate the amount of flow through the edges is designed to guarantee convergence of…

最优化与控制 · 数学 2013-02-05 Claudio De Persis

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…

无序系统与神经网络 · 物理学 2009-11-10 Sergi Valverde , Ricard V. Sole

Congestion control is an indispensable component of transport protocols to prevent congestion collapse. As such, it distributes the available bandwidth among all competing flows, ideally in a fair manner. However, there exists a constantly…

网络与互联网体系结构 · 计算机科学 2019-05-20 Jan Rüth , Ike Kunze , Oliver Hohlfeld

We analyze access statistics of several popular webpages for a period of several years. The graphs of daily downloads are highly non-homogeneous with long periods of low activity interrupted by bursts of heavy traffic. These bursts are due…

物理与社会 · 物理学 2009-11-13 M. V. Simkin , V. P. Roychowdhury

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…

最优化与控制 · 数学 2025-01-22 José M. Amigó , Guillem Duran , Angel Giménez , Oscar Martínez-Bonastre , José Valero

We consider a family of resource sharing networks, known as bandwidth sharing models, in heavy traffic with general service and interarrival times. These networks, introduced in Massoulie and Roberts (2000) as models for internet flows,…

最优化与控制 · 数学 2023-12-27 Amarjit Budhiraja , Dane Johnson

We consider a queueing network in which there are constraints on which queues may be served simultaneously; such networks may be used to model input-queued switches and wireless networks. The scheduling policy for such a network specifies…

概率论 · 数学 2012-03-07 Devavrat Shah , Damon Wischik

During overload, most networks drop packets due to buffer unavailability. The resulting timeouts at the source provide an implicit mechanism to convey congestion signals from the network to the source. On a timeout, a source should not only…

网络与互联网体系结构 · 计算机科学 2016-11-15 R. Jain

This work considers a server that processes $J$ classes using the generalized processor sharing discipline with base weight vector $\alpha=(\alpha _1,...,\alpha_J)$ and redistribution weight vector $\beta=(\beta_1,...,\beta_J)$. The…

概率论 · 数学 2008-01-28 Kavita Ramanan , Martin I. Reiman

Scheduling control problems for a family of unitary networks under heavy traffic with general interarrival and service times, probabilistic routing and an infinite horizon discounted linear holding cost are studied. Diffusion control…

概率论 · 数学 2012-05-07 Amarjit Budhiraja , Arka P. Ghosh

We study a gas network flow regulation control problem showing the closed-loop consequences of using interconnected component models, which have been designed to preserve a variant of mass flow conservation without the inclusion of…

系统与控制 · 电气工程与系统科学 2022-11-15 Sven Brüggemann , Robert H. Moroto , Robert R. Bitmead

Network science enables the effective analysis of real interconnected systems, characterized by a complex interplay between topology and interconnections strength. It is well-known that the topology of a network affects its resilience to…

物理与社会 · 物理学 2021-06-10 Giulia Bertagnolli , Riccardo Gallotti , Manlio De Domenico

Modeling Internet growth is important both for understanding the current network and to predict and improve its future. To date, Internet models have typically attempted to explain a subset of the following characteristics: network…

网络与互联网体系结构 · 计算机科学 2008-06-25 Petter Holme , Josh Karlin , Stephanie Forrest

We model information traffic on scale-free networks by introducing the bandwidth as the delivering ability of links. We focus on the effects of bandwidth on the packet delivering ability of the traffic system to better understand traffic…

物理与社会 · 物理学 2009-11-13 Mao-Bin Hu , Wen-Xu Wang , Rui Jiang , Qing-Song Wu , Yong-Hong Wu