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Multiple channel queues in heavy traffic

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References

1961The single server queue in heavy traffic444 cited
1970Multiple channel queues in heavy traffic. I438 cited
1962On Queues in Heavy Traffic342 cited
1970Multiple channel queues in heavy traffic. II: sequences, networks, and batches281 cited
1967QUEUES AND INVENTORIES281 cited

Cited by

1978The diffusion approximation for tandem queues in heavy traffic122 cited
1973Weak convergence in queueing theory116 cited
1987Transient behavior of regulated Brownian motion, I: Starting at the origin109 cited
2000A model for rational abandonments from invisible queues106 cited
2010Customer Abandonment in Many-Server Queues94 cited
1995Polling Systems with Zero Switchover Times: A Heavy-Traffic Averaging Principle84 cited
1994Towards better multi-class parametric-decomposition approximations for open queueing networks83 cited
1998Polling Systems in Heavy Traffic: A Bessel Process Limit72 cited
2012Order Book Dynamics in Liquid Markets: Limit Theorems and Diffusion Approximations65 cited
1995Variability Functions for Parametric-Decomposition Approximations of Queueing Networks62 cited

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1989Optimal and Approximately Optimal Control Policies for Queues in Heavy Traffic59 cited

1973The heavy traffic approximation for single server queues in series53 cited

2018Heavy traffic analysis for EDF queues with reneging51 cited

1971Functional limit theorems for the queue GI/G/1 in light traffic50 cited

1993Processing Networks with Parallel and Sequential Tasks: Heavy Traffic Analysis and Brownian Limits49 cited

1997Fluid and diffusion limits for queues in slowly changing environments47 cited