Lévy-driven GPS queues with heavy-tailed input

DOI10.1007/s11134-016-9510-1zbMath1370.60163arXiv1605.08862OpenAlexW2411110480MaRDI QIDQ2397973

Iwona Sierpińska-Tułacz, Krzysztof Dȩbicki, Peng Liu, M. R. H. Mandjes

Publication date: 14 August 2017

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

Full work available at URL: https://arxiv.org/abs/1605.08862

zbMATH Keywords

asymptoticsLévy processfluid modelgeneral processor sharing queuesheavy-tailed input

Mathematics Subject Classification ID

Processes with independent increments; Lévy processes (60G51) Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Asymptotic behavior of generalized processor sharing queues under subexponential assumptions
• Large buffer asymptotics for generalized processor sharing queues with Gaussian inputs
• A note on large-buffer asymptotics for generalized processor sharing with Gaussian inputs
• Asymptotic analysis of Lévy-driven tandem queues
• On the supremum of an infinitely divisible process
• Subexponential asymptotics for stochastic processes: Extremal behavior, stationary distributions and first passage probabilities
• Reduced-load equivalence and induced burstiness in GPS queues with long-tailed traffic flows
• Queues and Lévy fluctuation theory
• Stochastic-Process Limits
• Lévy Processes with Two-Sided Reflection
• On the Integrodifferential Equation of Takacs. I
• A TANDEM QUEUE WITH LÉVY INPUT: A NEW REPRESENTATION OF THE DOWNSTREAM QUEUE LENGTH
• Large Deviations for Complex Buffer Architectures: The Short-Range Dependent Case
• Generalized processor sharing queues with heterogeneous traffic classes

This page was built for publication: Lévy-driven GPS queues with heavy-tailed input