Note on Large-Buffer Asymptotics for Generalized Processor Sharing with Gaussian Inputs; Probability rept

摘要

In a previous study 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.