Reduced-Load Equivalence for Queues with Gaussian Input

  • Authors:
  • A. B. Dieker

  • Affiliations:
  • Aff1 Aff2

  • Venue:
  • Queueing Systems: Theory and Applications
  • Year:
  • 2005

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Abstract

In this note, we consider a queue fed by a number of independent heterogeneous Gaussian sources. We study under what conditions a reduced load equivalence holds, i.e., when a subset of the sources becomes asymptotically dominant as the buffer size increases. For this, recent results on extremes of Gaussian processes [6] are combined with de Haan theory. We explain how the results of this note relate to square root insensitivity and moderately heavy tails.