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Join-the-shortest queue diffusion limit in Halfin–Whitt regime: Tail asymptotics and scaling of extrema

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References

1991Brownian motion and stochastic calculus2,089 cited
1981Heavy-Traffic Limits for Queues with Many Exponential Servers750 cited
2018Join the Shortest Queue with Many Servers. The Heavy-Traffic Asymptotics105 cited
2018Universality of Power-of-d Load Balancing in Many-Server Systems72 cited
2019SCALABLE LOAD BALANCING IN NETWORKED SYSTEMS: UNIVERSALITY PROPERTIES AND STOCHASTIC COUPLING METHODS53 cited
2006Long time asymptotics for constrained diffusions in polyhedral domains50 cited
2020Steady-State Analysis of the Join-the-Shortest-Queue Model in the Halfin–Whitt Regime46 cited
2013Steady-state $GI/G/n$ queue in the Halfin–Whitt regime44 cited
2016Universality of load balancing schemes on the diffusion scale38 cited

Cited by

2020To Pool or Not to Pool: Queueing Design for Large-Scale Service Systems27 cited
2020Optimal Load Balancing with Locality Constraints22 cited
2019A Simple Steady-State Analysis of Load Balancing Algorithms in the Sub-Halfin-Whitt Regime17 cited
2021Universal Scaling of Distributed Queues Under Load Balancing in the Super-Halfin-Whitt Regime16 cited
2020Join-the-Shortest Queue diffusion limit in Halfin–Whitt regime: Sensitivity on the heavy-traffic parameter15 cited

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2022A load balancing system in the many-server heavy-traffic asymptotics14 cited