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Sample path large deviations and intree networks

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1962The stability of a queue with non-independent inter-arrival and service times1,045 cited
1986Comparison Methods for Queues and Other Stochastic Models.938 cited
1994Stability, queue length, and delay of deterministic and stochastic queueing networks815 cited
1984Comparison Methods for Queues and Other Stochastic Models720 cited
1990An Introduction to Queueing Networks662 cited
2003Elements of Queueing Theory596 cited
1995Fast simulation of rare events in queueing and reliability models546 cited
1991Effective bandwidths at multi-class queues457 cited
1994Logarithmic asymptotics for steady-state tail probabilities in a single-server queue290 cited
1989A quick simulation method for excessive backlogs in networks of queues269 cited
1981Comparing counting processes and queues184 cited
1993Tail probabilities with statistical multiplexing and effective bandwidths in multi-class queues150 cited
1994Effective bandwidth and fast simulation of ATM intree networks139 cited
1994Large deviations behavior of counting processes and their inverses84 cited

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1998Asymptotic buffer overflow probabilities in multiclass multiplexers: an optimal control approach

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