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We consider a stochastic model of Internet congestion control, introduced by Massouli\'{e} and Roberts [Telecommunication Systems 15 (2000) 185--201], that represents the randomly varying number of flows in a network where bandwidth is…

概率论 · 数学 2009-03-03 H. Christian Gromoll , Ruth J. Williams

We derive a modular fluid-flow network congestion control model based on a law of fundamental nature in networks: the conservation of information. Network elements such as queues, users, and transmission channels and network performance…

网络与互联网体系结构 · 计算机科学 2016-11-18 C. Briat , E. A. Yavuz , H. Hjalmarsson , K. H. Johansson , U. T. Jönsson , G. Karlsson , H. Sandberg

We consider a connection-level model of Internet congestion control, introduced by Massouli\'{e} and Roberts [Telecommunication Systems 15 (2000) 185--201], that represents the randomly varying number of flows present in a network. Here,…

概率论 · 数学 2012-02-27 W. N. Kang , F. P. Kelly , N. H. Lee , R. J. Williams

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…

网络与互联网体系结构 · 计算机科学 2012-08-07 Corentin Briat , Emre Altug Yavuz , Gunnar Karlsson

We study a minimal model of traffic flows in complex networks, simple enough to get analytical results, but with a very rich phenomenology, presenting continuous, discontinuous as well as hybrid phase transitions between a free-flow phase…

统计力学 · 物理学 2015-05-13 Daniele De Martino , Luca Dall'Asta , Ginestra Bianconi , Matteo Marsili

Proportional fairness is a popular service allocation mechanism to describe and analyze the performance of data networks at flow level. Recently, several authors have shown that the invariant distribution of such networks admits a product…

概率论 · 数学 2015-06-18 Maria Vlasiou , Jiheng Zhang , Bert Zwart

The packet is the fundamental unit of transportation in modern communication networks such as the Internet. Physical layer scheduling decisions are made at the level of packets, and packet-level models with exogenous arrival processes have…

网络与互联网体系结构 · 计算机科学 2010-03-05 Ciamac Moallemi , Devavrat Shah

We consider open multi-class queueing networks with general arrival processes, general processing time sequences and Bernoulli routing. The network is assumed to be operating under an arbitrary work-conserving scheduling policy that makes…

概率论 · 数学 2021-11-23 Sarat Babu Moka , Yoni Nazarathy , Werner Scheinhardt

We consider a flow-level model of a network operating under an $\alpha$-fair bandwidth sharing policy (with $\alpha>0$) proposed by Roberts and Massouli\'{e} [Telecomunication Systems 15 (2000) 185-201]. This is a probabilistic model that…

概率论 · 数学 2014-01-16 D. Shah , J. N. Tsitsiklis , Y. Zhong

In this note, we propose a case study of freeway traffic flow modeled as a hybrid system. We describe two general classes of networks that model flow along a freeway with merging onramps. The admission rate of traffic flow from each onramp…

系统与控制 · 计算机科学 2018-03-02 Samuel Coogan , Murat Arcak

Bandwidth-sharing networks as introduced by Massouli\'e & Roberts (1998) model the dynamic interaction among an evolving population of elastic flows competing for several links. With policies based on optimization procedures, such models…

概率论 · 数学 2013-04-16 Maria Frolkova , Josh Reed , Bert Zwart

The emergence of congestion is a critical phenomenon in transport systems. Transport is organized along pathways abstracted by links, which connect different nodes as regions to form the network. The modeling of traffic has so far mainly…

物理与社会 · 物理学 2023-03-23 Zhidong He

Due to the complexity of the traffic flow dynamics in urban road networks, most quantitative descriptions of city traffic so far are based on computer simulations. This contribution pursues a macroscopic (fluid-dynamic) simulation approach,…

流体动力学 · 物理学 2015-03-18 Amin Mazloumian , Nikolas Geroliminis , Dirk Helbing

There has recently been considerable interest in the stability of different fair bandwidth sharing policies for models that arise in the context of Internet congestion control. Here, we consider a connection level model, introduced by…

概率论 · 数学 2010-10-18 Maury Bramson

This paper contains an asymptotic analysis of a fluid model for a heavily loaded processor sharing queue. Specifically, we consider the behavior of solutions of critical fluid models as time approaches \infty. The main theorems of the paper…

概率论 · 数学 2009-09-29 Amber L. Puha , Ruth J. Williams

Flow-based models typically define a latent space with dimensionality identical to the observational space. In many problems, however, the data does not populate the full ambient data space that they natively reside in, rather inhabiting a…

机器学习 · 统计学 2023-02-24 Mingtian Zhang , Yitong Sun , Chen Zhang , Steven McDonagh

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…

物理与社会 · 物理学 2016-12-19 Ming Li , Mao-Bin Hu , Bing-Hong Wang

Fundamental to many transportation network studies, traffic flow models can be used to describe traffic dynamics determined by drivers' car-following, lane-changing, merging, and diverging behaviors. In this study, we develop a…

动力系统 · 数学 2013-07-31 Wen-Long Jin

Traffic modeling of communication networks such as Internet has become a very important field of research. A number of interesting phenomena are found in measurements and traffic simulations. One of them is the propagation of congestion…

无序系统与神经网络 · 物理学 2007-05-23 Jozsef Steger , Peter Vaderna , Gabor Vattay

Two important aspects of the Internet, namely the properties of its topology and the characteristics of its data traffic, have attracted growing attention of the physics community. My thesis has considered problems of both aspects. First I…

网络与互联网体系结构 · 计算机科学 2008-10-08 Attila Fekete
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