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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

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

We consider a connection-level model proposed by Massouli\'{e} and Roberts for bandwidth sharing among file transfer flows in a communication network. We study weighted proportionally fair sharing policies and establish explicit-form bounds…

性能 · 计算机科学 2021-01-13 Weina Wang , Siva Theja Maguluri , R. Srikant , Lei Ying

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

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

We consider a model of Internet congestion control that represents the randomly varying number of flows present in a network where bandwidth is shared fairly between document transfers. We study critical fluid models obtained as formal…

概率论 · 数学 2016-09-07 F. P. Kelly , R. J. Williams

We consider a switched network, a fairly general constrained queueing network model that has been used successfully to model the detailed packet-level dynamics in communication networks, such as input-queued switches and wireless networks.…

网络与互联网体系结构 · 计算机科学 2010-04-01 Devavrat Shah , John N. Tsitsiklis , Yuan Zhong

We consider a multihop wireless system. There are multiple source-destination pairs. The data from a source may have to pass through multiple nodes. We obtain a channel scheduling policy which can guarantee end-to-end mean delay for the…

网络与互联网体系结构 · 计算机科学 2018-11-27 Ashok Krishnan K. S. , Vinod Sharma

In this article we provide a novel characterization of the proportionally fair bandwidth allocation of network capacities, in terms of the Fenchel--Legendre transform of the network capacity region. We use this characterization to prove…

概率论 · 数学 2009-09-29 Laurent Massoulié

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 study networks of interacting queues governed by utility-maximising service-rate allocations in both discrete and continuous time. For {\em finite} networks we establish stability and some steady-state moment bounds under natural…

概率论 · 数学 2019-08-21 Seva Shneer , Alexander Stolyar

In this paper we introduce a class of Markov models, termed best-effort networks, designed to capture performance indices such as mean transfer times in data networks with best-effort service. We introduce the so-called min bandwidth…

The Foster-Lyapunov theorem and its variants serve as the primary tools for studying the stability of queueing systems. In addition, it is well known that setting the drift of the Lyapunov function equal to zero in steady-state provides…

概率论 · 数学 2015-03-19 Atilla Eryilmaz , R. Srikant

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

We present an achievable rate for general deterministic relay networks, with broadcasting at the transmitters and interference at the receivers. In particular we show that if the optimizing distribution for the information-theoretic cut-set…

信息论 · 计算机科学 2007-10-24 A. S. Avestimehr , S. N. Diggavi , D. N. C. Tse

In multi-class communication networks, traffic surges due to one class of users can significantly degrade the performance for other classes. During these transient periods, it is thus of crucial importance to implement priority mechanisms…

性能 · 计算机科学 2011-12-12 Mathieu Feuillet , Matthieu Jonckheere , Balakrishna J. Prabhu

Macroscopic link-based flow models are efficient for simulating flow propagation in urban road networks. Existing link-based flow models described traffic states of a link with two state variables of link inflow and outflow and assumed…

系统与控制 · 电气工程与系统科学 2024-11-14 Lei Wei , S. Travis Waller , Yu Mei , Peng Chen , Yunpeng Wang , Meng Wang

In this paper we study coordinated multipath routing at the flow-level in networks with routes of length one. As a first step the static case is considered, in which the number of flows is fixed. A clustering pattern in the rate allocation…

最优化与控制 · 数学 2009-10-27 Sarah Lilienthal , Michel Mandjes

We consider resource sharing networks of the form introduced in the work of Massouli\'{e} and Roberts(2000) as models for Internet flows. The goal is to study the open problem, formulated in Harrison et al. (2014), of constructing simple…

概率论 · 数学 2017-10-26 Amarjit Budhiraja , Dane Johnson

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
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