Multiple-input heavy-traffic real-time queues.

DOI10.1214/aoap/1042765663zbMath1046.60082OpenAlexW2024292188MaRDI QIDQ1872351

Steven E. Shreve, Shu-Ngai Yeung, John P. Lehoczky, Łukasz Kruk

Publication date: 6 May 2003

Published in: The Annals of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aoap/1042765663

zbMATH Keywords

heavy trafficdue datesgeneralized processor sharingrandom measuresdiffusion limit

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Diffusion processes (60J60) Random measures (60G57) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

Related Items (4)

Diffusion approximation for a processor sharing queue in heavy traffic. ⋮ Earliest-deadline-first service in heavy-traffic acyclic networks. ⋮ Heavy traffic limit for a processor sharing queue with soft deadlines ⋮ Accuracy of state space collapse for earliest-deadline-first queues

Cites Work

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• Diffusion approximations for open multiclass queueing networks: Sufficient conditions involving state space collapse
• State space collapse with application to heavy traffic limits for multiclass queueing networks
• Real-time queues in heavy traffic with earliest-deadline-first queue discipline
• Polling systems with zero switchover times: A heavy-traffic averaging principle
• A calculus for network delay. I. Network elements in isolation
• Stability, queue length, and delay of deterministic and stochastic queueing networks
• Multiple channel queues in heavy traffic. I

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