A NOTE ON MANY-SERVER FLUID MODELS WITH TIME-VARYING ARRIVALS

DOI10.1017/S0269964818000232MaRDI QIDQ5056621

Jiheng Zhang, Zhenghua Long

Publication date: 8 December 2022

Published in: Probability in the Engineering and Informational Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.00773

zbMATH Keywords

fluid modelmany-server queuetime-varyingabandonment

Mathematics Subject Classification ID

Fluid mechanics (76-XX) Partial differential equations (35-XX)

Related Items (1)

Virtual allocation policies for many-server queues with abandonment

Cites Work

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• The \(G_{t}/GI/s_{t}+GI\) many-server fluid queue
• Fluid limits of many-server queues with reneging
• Law of large numbers limits for many-server queues
• Large-time asymptotics for the \(G_{t}/M_{t}/s_{t}+GI_{t}\) many-server fluid queue with abandonment
• Convergence to equilibrium states for fluid models of many-server queues with abandonment
• Existence and uniqueness of a fluid model for many-server queues with abandonment
• Fluid models of many-server queues with abandonment
• Fluid limits of many-server queues with abandonments, general service and continuous patience time distributions
• Fluid Models for Multiserver Queues with Abandonments

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