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Optimal trajectory to overflow in a queue fed by a large number of sources

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References

1982Stochastic Theory of a Data-Handling System with Multiple Sources1,271 cited
1996Stochastic Networks Theory and Applications343 cited
1995Large deviations, the shape of the loss curve, and economies of scale in large multiplexers244 cited
1995Large Deviations For Performance Analysis: Queues, Communication and Computing211 cited
1996Buffer overflow asymptotics for a buffer handling many traffic sources198 cited
1986A new technique for analyzing large traffic systems128 cited
1995Large deviations approximation for fluid queues fed by a large number of on/off sources100 cited
1992Bounds and approximations for the periodic on/off queue with applications to ATM traffic control37 cited

Cited by

2001A large deviations approach to the transient of the Erlang loss model13 cited
2002A large deviations analysis of the transient of a queue with many Markov fluid inputs13 cited

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