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Heavy-traffic extreme-value limits for queues

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References

1970Multiple channel queues in heavy traffic. I438 cited
1972Extreme Values in the GI/G/1 Queue227 cited
1975On the tails of waiting-time distributions226 cited
1988Extreme Value Theory in Engineering222 cited
1995Exponential Approximations for Tail Probabilities in Queues, I: Waiting Times145 cited
1988Transient behavior of the M/M/ 1 queue via Laplace transforms127 cited
1971Multiple channel queues in heavy traffic125 cited
1987Transient behavior of regulated Brownian motion, I: Starting at the origin109 cited
1992Queueing and related models89 cited
1987Extreme values of birth and death processes and queues51 cited
1994Heavy-traffic asymptotic expansions for the asymptotic decay rates in the BMAP/G/ 1 queue43 cited
1995Maximum Values in Queueing Processes29 cited
1992Strong Approximations of Open Queueing Networks25 cited
1988Extreme Values of Queue Lengths in M / G /1 and GI / M /1 Systems25 cited

Cited by

2014Mathematical Modeling in Heavy Traffic Queuing Systems11 cited
1998

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Strong Approximations in Queueing Theory

11 cited