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A many-server fluid limit for the queueing model experiencing periods of overloading

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References

2007Coping with Time‐Varying Demand When Setting Staffing Requirements for a Service System299 cited
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2007Martingale proofs of many-server heavy-traffic limits for Markovian queues155 cited
2009The G/GI/N queue in the Halfin–Whitt regime146 cited
2010Law of large numbers limits for many-server queues113 cited
2010Fluid limits of many-server queues with reneging113 cited
1997A heavy-traffic analysis of a closed queueing system with a GI/∞ service center102 cited
2012The G t /GI/s t +GI many-server fluid queue79 cited
2011A Network of Time-Varying Many-Server Fluid Queues with Customer Abandonment67 cited
2010Two-parameter heavy-traffic limits for infinite-server queues65 cited
2013SPDE limits of many-server queues62 cited
2010On many-server queues in heavy traffic53 cited

Cited by

2016Stabilizing performance in a service system with time-varying arrivals and customer feedback

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40 cited

2014STABILIZING PERFORMANCE IN NETWORKS OF QUEUES WITH TIME-VARYING ARRIVAL RATES37 cited

2018Staffing to Stabilize the Tail Probability of Delay in Service Systems with Time-Varying Demand36 cited

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

2021Managing price and fleet size for courier service with shared drones31 cited

2013Algorithms for Time-Varying Networks of Many-Server Fluid Queues29 cited

2017Refined Models for Efficiency-Driven Queues with Applications to Delay Announcements and Staffing29 cited

2018Many-server Gaussian limits for overloaded non-Markovian queues with customer abandonment27 cited

2019Optimal Control of a Time-Varying Double-Ended Production Queueing Model21 cited