Heavy Traffic Limits for Some Queueing Networks

@inproceedings{Bramson1999HeavyTL,
  title={Heavy Traffic Limits for Some Queueing Networks},
  author={Maury Bramson},
  year={1999}
}
Using a slight modification of the framework in Bramson [7] and Williams [52], we prove heavy traffic limit theorems for six families of multiclass queueing networks. The first three families are single station systems operating under first-in first-out (FIFO), generalized headof-the-line proportional processor sharing (GHLPPS) and static buffer priority (SBP) service disciplines. The next two families are re-entrant lines operating under first-buffer-first-serve (FBFS) and last-buffer-first… CONTINUE READING
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