Large-time asymptotics for the \(G_{t}/M_{t}/s_{t}+GI_{t}\) many-server fluid queue with abandonment

DOI10.1007/s11134-010-9208-8zbMath1222.60073OpenAlexW2169648572MaRDI QIDQ632220

Ward Whitt, Yunan Liu

Publication date: 15 March 2011

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

Full work available at URL: https://doi.org/10.1007/s11134-010-9208-8

zbMATH Keywords

performance evaluationqueueing theorynetwork modelsqueues and service

Mathematics Subject Classification ID

Stochastic network models in operations research (90B15) 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)

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Cites Work

• Nonstationary queues: estimation of the rate of convergence
• Two-parameter heavy-traffic limits for infinite-server queues
• Strong approximation for Markovian service networks
• A heavy-traffic analysis of a closed queueing system with a \(GI/\infty\) service center
• The asymptotic behavior o queues with time-varying arrival rates
• Fluid Models for Multiserver Queues with Abandonments
• Periodic steady state of loss systems with periodic inputs
• Mt/G/∞ Queues with Sinusoidal Arrival Rates
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