On Large Delays in Multi-Server Queues with Heavy Tails
From MaRDI portal
Publication:2884313
DOI10.1287/moor.1120.0539zbMath1242.90062arXiv1104.3192OpenAlexW1993992052MaRDI QIDQ2884313
Sergeĭ Georgievich Foss, Dmitrii Korshunov
Publication date: 24 May 2012
Published in: Mathematics of Operations Research (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1104.3192
Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Large deviations (60F10)
Related Items (16)
Moments and tails in monotone-separable stochastic networks. ⋮ A multi-server/single-server duality ⋮ Sample path large deviations for Lévy processes and random walks with regularly varying increments ⋮ Efficient Rare-Event Simulation for Multiple Jump Events in Regularly Varying Random Walks and Compound Poisson Processes ⋮ Sample-path large deviations for a class of heavy-tailed Markov-additive processes ⋮ Heavy loads and heavy tails ⋮ Fork-join and redundancy systems with heavy-tailed job sizes ⋮ Scale-free graphs with many edges ⋮ Tail asymptotics for delay in a half-loaded \(\mathrm{GI}/\mathrm{GI}/2\) queue with heavy-tailed job sizes ⋮ Customer sojourn time in \(GI/GI/1\) feedback queue in the presence of heavy tails ⋮ Perfect simulation of M/G/c queues ⋮ Robust transient analysis of multi-server queueing systems and feed-forward networks ⋮ Queue length asymptotics for the multiple-server queue with heavy-tailed Weibull service times ⋮ Delay Analysis of the Max-Weight Policy Under Heavy-Tailed Traffic via Fluid Approximations ⋮ A unified approach for large queue asymptotics in a heterogeneous multiserver queue ⋮ Large deviations for stochastic fluid networks with Weibullian tails
This page was built for publication: On Large Delays in Multi-Server Queues with Heavy Tails