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ArticleResource pooling in congested networks: proportional fairness and product form

Frank P. Kelly2009

Article2009

Resource pooling in congested networks: proportional fairness and product form

Frank P. Kelly · Laurent Massoulié · Neil Walton

46 citations·0/0 files stored·Queueing Systems

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Advanced Queuing Theory Analysis Network Traffic and Congestion Control Optimization and Search Problems

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References

1987Applied Probability and Queues 2001Fundamentals of Queueing Networks 1967Time-shared Systems 1998State space collapse with application to heavy traffic limits for multiclass queueing networks 2004Fundamentals of Queueing Networks: Performance, Asymptotics, and Optimization 1979The multiple phase service network with generalized processor sharing 1993Dynamic routing in open queueing networks: Brownian models, cut constraints and resource pooling 1979Closed Exponential Networks of Queues with Saturation: The Jackson-Type Stationary Distribution and Its Asymptotic Analysis

Cited by

2017Balanced fair resource sharing in computer clusters 2014Optimal queue-size scaling in switched networks 2016Proportional Switching in First-in, First-out Networks 2026Insensitivity of proportional fairness in critically loaded bandwidth sharing networks 2013Closed Queueing Networks Under Congestion: Nonbottleneck Independence and Bottleneck Convergence

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2005Dynamic Routing in Large-Scale Service Systems with Heterogeneous Serversarticle · 4 shared references 2003Sequencing and Routing in Multiclass Queueing Networks Part II: Workload Relaxationsarticle · 4 shared references 2012A Stochastic Network Under Proportional Fair Resource Control—Diffusion Limit with Multiple Bottlenecksarticle · 4 shared references 2009Proportional fairness and its relationship with multi-class queueing networksarticle · 4 shared references 2012Asymptotic Optimality of Balanced Routingarticle · 4 shared references 2013Stability of multi-class queueing networks with infinite virtual queuesarticle · 4 shared references

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Year2009

Typearticle

Published2009-10-13

VenueQueueing Systems

ISSN-L0257-0130

Languageen

Citations46

Files0 public / 0

ShelfAdvanced Queuing Theory Analysis

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doi10.1007/s11134-009-9143-8

openalex_workW2057738769

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2012

Optimal queue-size scaling in switched networks

2015Equilibrium routing under uncertainty

2011Insensitive, maximum stable allocations converge to proportional fairness