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Large Deviations for Small Buffers: An Insensitivity Result · Study

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ArticleLarge Deviations for Small Buffers: An Insensitivity Result

Michel Mandjes2001

Article2001

Large Deviations for Small Buffers: An Insensitivity Result

49 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

1982Stochastic Theory of a Data-Handling System with Multiple Sources 1995Large deviations, the shape of the loss curve, and economies of scale in large multiplexers 1995Large Deviations For Performance Analysis: Queues, Communication and Computing 1996Buffer overflow asymptotics for a buffer handling many traffic sources 1996Large Deviations for Performance Analysis: Queues, Communications, and Computing, Adam Shwartz and Alan Weiss (New York: Chapman and Hall, 1995).1986A new technique for analyzing large traffic systems 1995Large deviations approximation for fluid queues fed by a large number of on/off sources 1999Cell loss asymptotics for buffers fed with a large number of independent stationary sources

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2003Exact overflow asymptotics for queues with many Gaussian inputs 2003The Asymptotic Workload Behavior of Two Coupled Queues 2000Overflow behavior in queues with many long-tailed inputs 2004Exact asymptotics for fluid queues fed by multiple heavy-tailed on–off flows 2003Generalized processor sharing queues

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2000Overflow behavior in queues with many long-tailed inputsarticle · 9 shared references 2003Exact overflow asymptotics for queues with many Gaussian inputsarticle · 6 shared references 1999Optimal trajectory to overflow in a queue fed by a large number of sourcesarticle · 6 shared references 2000Loss asymptotics in large buffers fed by heterogeneous long-tailed sourcesarticle · 6 shared references 2001Sample path large deviations for queues with many inputsarticle · 5 shared references 2001Many-Sources Delay Asymptotics with Applications to Priority Queuesarticle · 5 shared references

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Year2001

Typearticle

Published2001-03-01

VenueQueueing Systems

ISSN-L0257-0130

Languageen

Citations49

Files0 public / 0

ShelfAdvanced Queuing Theory Analysis

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doi10.1023/a:1010837416603

openalex_workW1564850946

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2008Performance analysis of a Poisson–Pareto queue over the full range of system parameters

2004Many Sources Asymptotics for Networks with Small Buffers