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On many-server queues in heavy traffic

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References

1981Point Processes and Queues1,652 cited
1987Limit Theorems for Stochastic Processes1,319 cited
1983Point Processes and Queues: Martingale Dynamics.1,065 cited
1989Theory of Martingales956 cited
1981Heavy-Traffic Limits for Queues with Many Exponential Servers750 cited
1986Asymptotic Methods in Queueing Theory.225 cited
2007Martingale proofs of many-server heavy-traffic limits for Markovian queues183 cited
2007Martingale proofs of many-server heavy-traffic limits for Markovian queues155 cited
2009The G/GI/N queue in the Halfin–Whitt regime146 cited
1967On limit laws for service processes in multi-channel systems126 cited
2000The multiclass GI/PH/N queue in the Halfin-Whitt regime117 cited
1997A heavy-traffic analysis of a closed queueing system with a GI/∞ service center102 cited
2005Heavy-Traffic Limits for the G/H2*/n/mQueue75 cited
2004Heavy Traffic Limits for Queues with Many Deterministic Servers70 cited

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2012A many-server fluid limit for the queueing model experiencing periods of overloading45 cited

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2013

Steady-state $GI/G/n$ queue in the Halfin–Whitt regime

44 cited

2012Fluid models of many-server queues with abandonment41 cited

2013Fluid Limits for Many-Server Systems with Reneging Under a Priority Policy39 cited

2014A queueing model with independent arrivals, and its fluid and diffusion limits32 cited

2011Fluid models of many-server queues with abandonment32 cited

2015Gaussian Limits for a Fork-Join Network with Nonexchangeable Synchronization in Heavy Traffic18 cited

2013Fluid limits of many-server queues with abandonments, general service and continuous patience time distributions18 cited

2021Universal Scaling of Distributed Queues Under Load Balancing in the Super-Halfin-Whitt Regime16 cited