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A new technique for analyzing large traffic systems

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References

1982Stochastic Theory of a Data-Handling System with Multiple Sources1,271 cited
1985Applications of Queueing Theory329 cited

Cited by

1994Erlang capacity and uniform approximations for shared unbuffered resources110 cited
1995Large deviations approximation for fluid queues fed by a large number of on/off sources100 cited
1994Exponential bounds for queues with Markovian arrivals93 cited
1995An introduction to large deviations for communication networks90 cited
2002A most probable path approach to queueing systems with general Gaussian input80 cited
1992Blocking probabilities in multitraffic loss systems: insensitivity, asymptotic behavior, and approximations71 cited
2001Sample path large deviations for queues with many inputs70 cited
1991Heavy-Traffic Analysis of a Data-Handling System with Many Sources53 cited
2003Exact overflow asymptotics for queues with many Gaussian inputs49 cited
2001Large Deviations for Small Buffers: An Insensitivity Result49 cited
1990A Viscosity Solution Approach to the Asymptotic Analysis of Queueing Systems48 cited
1996Economies of scale in queues with sources having power-law large deviation scalings46 cited

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2005

Sample-path large deviations for tandem and priority queues with Gaussian inputs

45 cited

2005Fast simulation of rare events in queueing and reliability models41 cited

2000Overflow behavior in queues with many long-tailed inputs32 cited

1987The transient behavior in Erlang's model for large trunk groups and various traffic conditions30 cited