Fluid limits for networks with bandwidth sharing and general document size distributions

DOI10.1214/08-AAP541zbMath1169.60025arXiv0903.0291MaRDI QIDQ1009487

H. Christian Gromoll, Ruth J. Williams

Publication date: 2 April 2009

Published in: The Annals of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0903.0291

zbMATH Keywords

workloadfluid modelinvariant manifoldcongestion controlmeasure valued processsimultaneous resource possessionbandwith sharingflow level internet model

Mathematics Subject Classification ID

Stochastic network models in operations research (90B15) Functional limit theorems; invariance principles (60F17) Applications of queueing theory (congestion, allocation, storage, traffic, etc.) (60K30)

Related Items (18)

Minimality of EDF networks with resource sharing ⋮ Bandwidth sharing networks with priority scaling ⋮ Asymptotic behavior of a critical fluid model for bandwidth sharing with general file size distributions ⋮ A Fluid Model of an Electric Vehicle Charging Network ⋮ A stability conjecture on bandwidth sharing networks ⋮ The fluid limit of the multiclass processor sharing queue ⋮ Edge minimality of EDF resource sharing networks ⋮ Stability of linear EDF networks with resource sharing ⋮ Stability of a Subcritical Fluid Model for Fair Bandwidth Sharing with General File Size Distributions ⋮ Fluid models of congestion collapse in overloaded switched networks ⋮ State space collapse and diffusion approximation for a network operating under a fair bandwidth sharing policy ⋮ Network stability under max-min fair bandwidth sharing ⋮ Asymptotic behavior of a critical fluid model for a multiclass processor sharing queue via relative entropy ⋮ Diffusion Limit of Fair Resource Control—Stationarity and Interchange of Limits ⋮ Flow level convergence and insensitivity for multi-class queueing networks ⋮ Fluid Limits for Overloaded Multiclass FIFO Single-Server Queues with General Abandonment ⋮ Fluid Limits for Bandwidth-Sharing Networks with Rate Constraints ⋮ Minimal and Locally Edge Minimal Fluid Models for Resource-Sharing Networks

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