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M|G|∞ input processes: a versatile class of models for network traffic

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References

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1994A storage model with self-similar input848 cited
1997Statistics for Long-Memory Processes606 cited
1995Large deviations and overflow probabilities for the general single-server queue, with applications431 cited
1994Logarithmic asymptotics for steady-state tail probabilities in a single-server queue290 cited

Cited by

1997Tail probabilities for M/G/∞ input processes (I): Preliminary asymptotics61 cited
1999Asymptotic behavior of a multiplexer fed by a long-range dependent process55 cited
1998Queueing at large resources driven by long-tailed M/G/∞-modulated processes52 cited
2005Sample-path large deviations for tandem and priority queues with Gaussian inputs45 cited
2005Sample Path Large Deviations Principles for Poisson Shot Noise Processes and Applications30 cited
1997Heavy traffic analysis for a multiplexer driven by M∨GI∨∞ input processes24 cited
2006The M/G/∞ system revisited: finiteness, summability, long range dependence, and reverse engineering23 cited
2003Generalized processor sharing queues20 cited

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2000

Heavy traffic limits associated with >M/G/∞ input processes

16 cited

2000Overflow and losses in a network queue with a self-similar input15 cited