Heavy traffic limits for some queueing networks (Q1872421)

The paper gives results for six families of multiclass queueing networks operating under heavy traffic regime. Three of them are single-station systems under first-in-first-out, generalized head-of-the-line proportional processor sharing, and static buffer priority disciplines. The next two families are reentrant lines that operate under first-buffer-first-serve and last-buffer-first-serve service disciplines. The last family consists of certain two-station, five-class networks operating under static buffer priority discipline.