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Reduced-load equivalence for Gaussian processes
Authors:Bert Zwart  Sem Borst  Krzysztof De¸bicki
Institution:a Department of Mathematics and Computer Science, Eindhoven University of Technology, P.O. Box 513, 5600 MB Eindhoven, The Netherlands
b CWI, P.O. Box 94079, 1090 GB Amsterdam, The Netherlands
c Bell Laboratories, Lucent Technologies, P.O. Box 636, Murray Hill, NJ 07974, USA
d Mathematical Institute, University of Wroc?aw, pl. Grunwaldzki 2/4, 50-384 Wroc?aw, Poland
Abstract:We consider a fluid model fed by two Gaussian processes. We obtain necessary and sufficient conditions for the workload asymptotics to be completely determined by one of the two processes, and apply these results to the case of two fractional Brownian motions.
Keywords:(primary) 60G15  (secondary) 60F10  60G70
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