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Fluid Limits for Shortest Remaining Processing Time Queues

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References

1968Letter to the Editor—A Proof of the Optimality of the Shortest Remaining Processing Time Discipline562 cited
1970Multiple channel queues in heavy traffic. I438 cited
1966The Queue M/G/1 with the Shortest Remaining Processing Time Discipline342 cited
2001Analysis of SRPT scheduling312 cited
2003Classifying scheduling policies with respect to unfairness in an M/GI/1170 cited
2001Real-time queues in heavy traffic with earliest-deadline-first queue discipline146 cited
2002The fluid limit of a heavily loaded processor sharing queue108 cited
1971Weak convergence theorems for priority queues: preemptive-resume discipline91 cited

Cited by

2011Heavy traffic analysis for EDF queues with reneging56 cited
2011Size- and state-aware dispatching problem with queue-specific job sizes54 cited
2018Heavy traffic analysis for EDF queues with reneging51 cited
2018SRPT for multiserver systems47 cited
2011Heavy-traffic analysis of mean response time under Shortest Remaining Processing Time28 cited
2015Diffusion limits for shortest remaining processing time queues under nonstandard spatial scaling20 cited
2021SRPT Scheduling Discipline in Many-Server Queues with Impatient Customers

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16 cited

2014Fluid Limits of G/G/1+G Queues Under the Nonpreemptive Earliest-Deadline-First Discipline15 cited

2011Diffusion limits for shortest remaining processing time queues15 cited

2011Diffusion Limits for Shortest Remaining Processing Time Queues15 cited