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ArticleConvexity properties of loss and overflow functions

Krishnan Kumaran2003

Article2003

Convexity properties of loss and overflow functions

Krishnan Kumaran · Michel Mandjes · Alexander Stolyar

16 citations·0/0 files stored·Operations Research Letters

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Advanced Queuing Theory Analysis Network Traffic and Congestion Control Advanced Wireless Network Optimization

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References

1987Brownian Motion and Stochastic Flow Systems.1995Large deviations, the shape of the loss curve, and economies of scale in large multiplexers 1996Buffer overflow asymptotics for a buffer handling many traffic sources 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 1998Queueing at large resources driven by long-tailed M/G/∞-modulated processes 2000Overflow behavior in queues with many long-tailed inputs

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2005Convexity in Queues With General Inputs

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2001Large Deviations for Small Buffers: An Insensitivity Resultarticle · 5 shared references 2000Overflow behavior in queues with many long-tailed inputsarticle · 5 shared references 2008Performance analysis of a Poisson–Pareto queue over the full range of system parametersarticle · 5 shared references 2001The Buffer-Bandwidth Trade-off Curve is Convexarticle · 5 shared references 2001Sample path large deviations for queues with many inputsarticle · 4 shared references 2003Exact overflow asymptotics for queues with many Gaussian inputsarticle · 4 shared references

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Year2003

Typearticle

Published2003-02-12

VenueOperations Research Letters

ISSN-L0167-6377

Languageen

Citations16

Files0 public / 0

ShelfAdvanced Queuing Theory Analysis

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doi10.1016/s0167-6377(02)00191-8

openalex_workW2042265723

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