A note on large-buffer asymptotics for generalized processor sharing with Gaussian inputs
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In a previous study by Dębicki 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.
KeywordsGeneralized processor sharing Fractional Brownian motion
Mathematics Subject Classification (2000)60K25 68M20
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- 1.Borst, S., Boxma, O., Jelenković, P.: Induced burstiness in generalized processor sharing queues with long-tailed traffic flows. In: Proc. 37th Annual Allerton Conference on Communication, Control, and Computing, pp. 316–325 (1999) Google Scholar
- 7.Wischik, D., Ganesh, A.: The calculus of Hurstiness. Available from http://www.cs.ucl.ac.uk/staff/D.Wischik/Research/hurstiness.pdf