Reduced-load equivalence for queues with Gaussian input

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 are combined with de Haan theory. We explain how the results of this note relate to square root insensitivity and moderately heavy tails