Fluid approximation and its convergence rate for GI/G/1 queue with vacations

DOI10.1007/S10255-011-0038-1zbMath1220.60052OpenAlexW2146687993MaRDI QIDQ628624

Yong Jiang Guo

Publication date: 14 March 2011

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10255-011-0038-1

zbMATH Keywords

fluid approximationexponential rate of convergenceGI/G/1 queue with vacation

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Functional limit theorems; invariance principles (60F17)

Related Items (2)

On the fluid approximation for a multiclass queue under non-preemptive SBP service discipline ⋮ Fluid approximation for generalized Jackson network with vacations

Cites Work

• Queueing systems with vacations - a survey
• Reflected Brownian motion on an orthant
• Analysis of multi-server queues with station and server vacations
• Fluid limits and diffusion approximations for networks of multi-server queues in heavy traffic
• On positive Harris recurrence of multiclass queueing networks: A unified approach via fluid limit models
• Fluid approximations and stability of multiclass queueing networks: Work-conserving disciplines
• On the three threshold policy in the multi-server queueing system with vacations
• Diffusion approximations for queues with server vacations
• Preservation of rates of convergence under mappings
• Open Queueing Networks in Heavy Traffic
• Rate of convergence of the fluid approximation for generalized Jackson networks
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