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Generalized processor sharing with light-tailed and heavy-tailed input

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References

1994Logarithmic asymptotics for steady-state tail probabilities in a single-server queue290 cited
1975On the tails of waiting-time distributions226 cited
1999Appendix: A primer on heavy-tailed distributions141 cited
1999Asymptotic results for multiplexing subexponential on-off processes129 cited
1989How large delays build up in a GI/G/1 queue81 cited

Cited by

2007Beyond processor sharing62 cited
2011Queue-Length Asymptotics for Generalized Max-Weight Scheduling in the Presence of Heavy-Tailed Traffic33 cited
2013Max-Weight Scheduling in Queueing Networks With Heavy-Tailed Traffic31 cited
2009Scheduling policies for single-hop networks with heavy-tailed traffic29 cited
2008The heavy traffic limit of an unbalanced generalized processor sharing model29 cited
2003Generalized processor sharing queues20 cited
2010Approximation for a two-class weighted fair queueing discipline18 cited
2008QoS Analysis of Queuing Systems with Self-Similar Traffic and Heavy-Tailed Packet Sizes17 cited
2005Sample-path large deviations for generalized processor sharing queues with Gaussian inputs15 cited
2008An Analytical Queuing Model for Long Range Dependent Arrivals and Variable Service Capacity

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14 cited

2017Delay Analysis of the Max-Weight Policy Under Heavy-Tailed Traffic via Fluid Approximations13 cited