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ArticleTail probabilities for M/G/∞ input processes (I): Preliminary asymptotics

Minothi Parulekar1997

Article1997

Tail probabilities for M/G/∞ input processes (I): Preliminary asymptotics

Minothi Parulekar · Armand M. Makowski

61 citations·0/0 files stored·Queueing Systems

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Advanced Queuing Theory Analysis Network Traffic and Congestion Control Probability and Risk Models

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References

1962The stability of a queue with non-independent inter-arrival and service times 1994A storage model with self-similar input 1995Large deviations and overflow probabilities for the general single-server queue, with applications 1994Logarithmic asymptotics for steady-state tail probabilities in a single-server queue 1993The Impact of Autocorrelation on Queuing Systems 2002M|G|∞ input processes: a versatile class of models for network traffic

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1999Asymptotic behavior of a multiplexer fed by a long-range dependent process 1998Queueing at large resources driven by long-tailed M/G/∞-modulated processes 2002Performance evaluation of a queue fed by a Poisson Pareto burst process 2005Sample-path large deviations for tandem and priority queues with Gaussian inputs 2000A fluid queue with a finite buffer and subexponential input 1999Subexponential loss rates in a GI/GI/1 queue with applications 2000Overflow behavior in queues with many long-tailed inputs

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1998A central-limit-theorem-based approach for analyzing queue behavior in high-speed networksarticle · 4 shared references 1999Asymptotic results for multiplexing subexponential on-off processesarticle · 4 shared references 2002M|G|∞ input processes: a versatile class of models for network trafficother · 4 shared references 1998Queueing at large resources driven by long-tailed M/G/∞-modulated processesarticle · 4 shared references 2002Multiplexing on-off sources with subexponential on periodsother · 4 shared references 2003Queueing systems with long-range dependent input process and subexponential service timesother · 4 shared references

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Year1997

Typearticle

Published1997-04-01

VenueQueueing Systems

ISSN-L0257-0130

Languageen

Citations61

Files0 public / 0

ShelfAdvanced Queuing Theory Analysis

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doi10.1023/a:1019122400632

openalex_workW1556486900

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2005

Sample Path Large Deviations Principles for Poisson Shot Noise Processes and Applications