Invariant states and rates of convergence for a critical fluid model of a processor sharing queue.

DOI10.1214/105051604000000017zbMath1061.60098arXivmath/0405289OpenAlexW3100707386MaRDI QIDQ1879881

Amber L. Puha, Ruth J. Williams

Publication date: 15 September 2004

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

Full work available at URL: https://arxiv.org/abs/math/0405289

zbMATH Keywords

invariant measuresheavy trafficcouplingprocessor sharingfluid limits

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Performance evaluation, queueing, and scheduling in the context of computer systems (68M20)

Related Items (10)

Diffusion approximation for a processor sharing queue in heavy traffic. ⋮ Conjectures on symmetric queues in heavy traffic ⋮ Asymptotic behavior of a critical fluid model for bandwidth sharing with general file size distributions ⋮ The fluid limit of the multiclass processor sharing queue ⋮ Heavy traffic limit for a processor sharing queue with soft deadlines ⋮ Diffusion limits of limited processor sharing queues ⋮ AnRG-Factorization Approach for a BMAP/M/1 Generalized Processor-Sharing Queue ⋮ Fluid limits for networks with bandwidth sharing and general document size distributions ⋮ Asymptotic behavior of a critical fluid model for a multiclass processor sharing queue via relative entropy ⋮ A note on the event horizon for a processor sharing queue

Cites Work

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• The fluid limit of a heavily loaded processor sharing queue
• Diffusion approximation for a processor sharing queue in heavy traffic.
• Convergence to equilibria for fluid models of FIFO queueing networks
• Heavy Tails and Long Range Dependence in On/Off Processes and Associated Fluid Models
• Probability

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