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.

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CWI. Probability, Networks and Algorithms [PNA]
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Dȩbicki, K.G, & Mandjes, M.R.H. (2007). A note on large-buffer asymptotics for generalized processor sharing with Gaussian inputs. CWI. Probability, Networks and Algorithms [PNA]. CWI.