Stability of Processor Sharing Networks with Simultaneous Resource Requirements

DOI10.1239/jap/1189717534zbMath1132.60062arXivmath/0605477OpenAlexW2044805624MaRDI QIDQ5440637

Stan Zachary, Jennie C. Hansen, Cian Reynolds

Publication date: 5 February 2008

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

Full work available at URL: https://arxiv.org/abs/math/0605477

zbMATH Keywords

stabilityentrainmentprocessor sharing network

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Applications of Markov renewal processes (reliability, queueing networks, etc.) (60K20)

Related Items (2)

Flow-level performance and capacity of wireless networks with user mobility ⋮ Fluid limits for networks with bandwidth sharing and general document size distributions

Cites Work

• Bandwidth sharing and admission control for elastic traffic
• On stochastic bounds for monotonic processor sharing networks
• Fluid model for a network operating under a fair bandwidth-sharing policy.
• On positive Harris recurrence of multiclass queueing networks: A unified approach via fluid limit models
• Rate control for communication networks: shadow prices, proportional fairness and stability
• Applied Probability and Queues
• Unnamed Item

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