Fluid Limits for Multiclass Many-Server Queues with General Reneging Distributions and Head-of-the-Line Scheduling

DOI10.1287/MOOR.2021.1166zbMath1495.60084OpenAlexW4200169461MaRDI QIDQ5085137

Amy R. Ward, Amber L. Puha

Publication date: 27 June 2022

Published in: Mathematics of Operations Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1287/moor.2021.1166

zbMATH Keywords

many-server queuemeasure-valued processrenegingfluid limitsscheduling control

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) Functional limit theorems; invariance principles (60F17)

Related Items (1)

Asymptotically optimal idling in the \(GI/GI/N+GI\) queue

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The \(G_{t}/GI/s_{t}+GI\) many-server fluid queue
• Dynamic scheduling of a \(GI/GI/1+GI\) queue with multiple customer classes
• Fluid limits of many-server queues with reneging
• Law of large numbers limits for many-server queues
• On the Skorokhod topology
• Fluid models of many-server queues with abandonment
• Stochastic-Process Limits
• The cμ/θ Rule for Many-Server Queues with Abandonment
• Dynamic Scheduling of Multiclass Many-Server Queues with Abandonment: The Generalized cμ/h Rule
• Fluid Models for Multiserver Queues with Abandonments
• Staffing, Routing, and Payment to Trade off Speed and Quality in Large Service Systems
• Fluid Limits for Many-Server Systems with Reneging Under a Priority Policy
• Scheduling

This page was built for publication: Fluid Limits for Multiclass Many-Server Queues with General Reneging Distributions and Head-of-the-Line Scheduling