Fluid Model for a Data Network with α -Fair Bandwidth Sharing and General Document Size Distributions: Two Examples of Stability

DOI10.1214/074921708000000417zbMath1166.90312OpenAlexW2126554727MaRDI QIDQ3626712

Ruth J. Williams, H. Christian Gromoll

Publication date: 22 May 2009

Published in: Institute of Mathematical Statistics Collections (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/074921708000000417

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 (10)

SRPT applied to bandwidth-sharing networks ⋮ A stability conjecture on bandwidth sharing networks ⋮ Comparison of stability regions for a line distribution network with stochastic load demands ⋮ Stability of linear EDF networks with resource sharing ⋮ Stability of a Subcritical Fluid Model for Fair Bandwidth Sharing with General File Size Distributions ⋮ State space collapse and diffusion approximation for a network operating under a fair bandwidth sharing policy ⋮ Fluid limits for networks with bandwidth sharing and general document size distributions ⋮ Diffusion Limit of Fair Resource Control—Stationarity and Interchange of Limits ⋮ Fluid Limits for Bandwidth-Sharing Networks with Rate Constraints ⋮ Heavy-Traffic Insensitive Bounds for Weighted Proportionally Fair Bandwidth Sharing Policies

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