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Strong approximations for multiple channel queues in heavy traffic
4 references·2 citing·19 second hop
Strong approximations for multiple channel queues in heavy traffic (1990)Strong approximations for multiple channe…An approximation of stopped sums with applications in queueing theory (1987)An approximation of stopped s…Rates of convergence for queues in heavy traffic. I (1972)Rates of convergence for queu…Multiple channel queues in heavy traffic (1971)Multiple channel queues in he…Multiple channel queues in heavy traffic. I (1970)Multiple channel queues in he…A law of iterated logarithm for multiclass queues with preemptive priority service discipline (2014)A law of iterated logarithm f…Strong approximations for priority queues; head-of-the-line-first discipline (1992)Strong approximations for pri…The single server queue in heavy traffic (1961)On Queues in Heavy Traffic (1962)Weak convergence in queueing theory (1973)The diffusion approximation for tandem queues in heavy traffic (1978)Transient behavior of regulated Brownian motion, I: Starting at the origin (1987)Weak convergence theorems for priority queues: preemptive-resume discipline (1971)Weak convergence theorems for priority queues: preemptive-resume discipline (1971)On Positive Harris Recurrence of Multiclass Queueing Networks: A Unified Approach Via Fluid Limit Models (1995)Fundamentals of Queueing Networks (2001)Introduction to Stochastic Integration (1983)Strong Approximations of Open Queueing Networks (1992)Reliable estimation via simulation (1995)Singularly perturbed Markov chains: Limit results and applications (2007)Multiple channel queues in heavy traffic. II: sequences, networks, and batches (1970)Complements to heavy traffic limit theorems for the GI/G/1 queue (1972)The stable M / G /1 queue in heavy traffic and its covariance function (1977)Open Queueing Networks in Heavy Traffic (1984)Brownian Models of Queueing Networks with Heterogeneous Customer Populations (1988)Numerical Methods for Stochastic Control Problems in Continuous Time (1990)
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References

  • 1970Multiple channel queues in heavy traffic. I438 cited
  • 1971Multiple channel queues in heavy traffic125 cited
  • 1987An approximation of stopped sums with applications in queueing theory44 cited
  • 1972Rates of convergence for queues in heavy traffic. I18 cited

Cited by

  • 2014A law of iterated logarithm for multiclass queues with preemptive priority service discipline13 cited
  • 1992Strong approximations for priority queues; head-of-the-line-first discipline12 cited

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