A note on large-buffer asymptotics for generalized processor sharing with Gaussian inputs

摘要

In a previous study by Debicki and van Uitert (Queueing Syst. 54, 111-120, 2006) logarithmic large-buffer asymptotics were derived for a two-class generalized processor sharing system with Gaussian inputs, for three of the four possible scenarios. In this note we show how the large-buffer asymptotics for the remaining fourth regime follow from a recently derived result for tandem systems. We also provide a heuristic interpretation of the result.