Stability of a Subcritical Fluid Model for Fair Bandwidth Sharing with General File Size Distributions

DOI10.1287/STSY.2019.0058zbMath1460.60104OpenAlexW3082536543MaRDI QIDQ5126319

Yingjia Fu, Ruth J. Williams

Publication date: 16 October 2020

Published in: Stochastic Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1287/stsy.2019.0058

zbMATH Keywords

Lyapunov functionasymptotic behavior\(\alpha\)-fair bandwidth sharinggeneral file size distributionmeasure-valued fluid modelsubcritical fluid model

Mathematics Subject Classification ID

Random measures (60G57) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70) Applications of queueing theory (congestion, allocation, storage, traffic, etc.) (60K30)

Related Items (1)

Heavy-Traffic Insensitive Bounds for Weighted Proportionally Fair Bandwidth Sharing Policies

Cites Work

• Network stability under max-min fair bandwidth sharing
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• Bandwidth sharing and admission control for elastic traffic
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• Structural properties of proportional fairness: stability and insensitivity
• Asymptotic behavior of a critical fluid model for a processor sharing queue via relative entropy
• Fluid Model for a Data Network with α -Fair Bandwidth Sharing and General Document Size Distributions: Two Examples of Stability
• Fluid Limits for Bandwidth-Sharing Networks in Overload
• Network Stability Under Alpha Fair Bandwidth Allocation With General File Size Distribution
• Stability of queueing networks

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