On the many-server fluid limit for a service system with routing based on delayed information

DOI10.1016/j.orl.2021.03.001OpenAlexW3135789345MaRDI QIDQ2060535

Ward Whitt

Publication date: 13 December 2021

Published in: Operations Research Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.orl.2021.03.001

zbMATH Keywords

delay differential equationqueuesdelayed informationfluid limitmany-server heavy-traffic scaling

Mathematics Subject Classification ID

Ordinary differential equations (34-XX) Probability theory and stochastic processes (60-XX)

Related Items (1)

Queues with Updating Information: Finding the Amplitude of Oscillations

Cites Work

• The \(G_{t}/GI/s_{t}+GI\) many-server fluid queue
• Two-parameter heavy-traffic limits for infinite-server queues
• Martingale proofs of many-server heavy-traffic limits for Markovian queues
• A many-server fluid limit for the \(G_t/GI/s_t +GI\) queueing model experiencing periods of overloading
• Stochastic-Process Limits
• A Stochastic Analysis of Queues with Customer Choice and Delayed Information
• Analysis of a rate-based feedback control strategy for long haul data transport
• Asymptotic analysis of adaptive rate control for diverse sources with delayed feedback
• The High-Frequency Trading Arms Race: Frequent Batch Auctions as a Market Design Response *
• Delay-Based Service Differentiation with Many Servers and Time-Varying Arrival Rates

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