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Balanced Fluid Models of Multiclass Queueing Networks: A Heavy Traffic Conjecture · Study

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ChapterBalanced Fluid Models of Multiclass Queueing Networks: A Heavy Traffic Conjecture

J. Michael Harrison1995

Chapter1995

Balanced Fluid Models of Multiclass Queueing Networks: A Heavy Traffic Conjecture

J. Michael Harrison

39 citations·0/0 files stored·The IMA volumes in mathematics and its applications

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Advanced Queuing Theory Analysis Network Traffic and Congestion Control Stochastic processes and statistical mechanics

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References

1995On Positive Harris Recurrence of Multiclass Queueing Networks: A Unified Approach Via Fluid Limit Models 1993Re-entrant lines 1994Instability of FIFO Queueing Networks 1991Discrete Flow Networks: Bottleneck Analysis and Fluid Approximations 1993Brownian models of multiclass queueing networks: Current status and open problems 2006Some diffusion approximations with state space collapse 1991Stochastic Discrete Flow Networks: Diffusion Approximations and Bottlenecks 1993Existence and uniqueness of semimartingale reflecting Brownian motions in an orthant

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2014Optimal queue-size scaling in switched networks 2006A reflected fBm limit for fluid models with ON/OFF sources under heavy traffic 2010State-space collapse in stationarity and its application to a multiclass single-server queue in heavy traffic 2000Diffusion Approximations for Some Multiclass Queueing Networks with FIFO Service Disciplines 2012Optimal queue-size scaling in switched networks

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2000Diffusion Approximations for Some Multiclass Queueing Networks with FIFO Service Disciplinesarticle · 9 shared references 1997The QNET Method for Re-Entrant Queueing Networks with Priority Disciplinesarticle · 8 shared references 2016Stochastic Processing Networksreview · 8 shared references 1996Existence and Uniqueness of Semimartingale Reflecting Brownian Motions in Convex Polyhedronsarticle · 6 shared references 1997Piecewise linear test functions for stability and instability of queueing networksarticle · 6 shared references 2020Processing Networksbook · 6 shared references

Details

Year1995

Typechapter

Published1995-01-01

VenueThe IMA volumes in mathematics and its applications

ISSN-L0940-6573

Languageen

Citations39

Files0 public / 0

ShelfAdvanced Queuing Theory Analysis

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doi10.1007/978-1-4757-2418-9_1

openalex_workW44345464

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