Gaussian queues in light and heavy-traffic

Abstract. In this paper we investigate Gaussian queues in the light-tra_c and in the heavy-tra_c regime. The setting considered is that of a centered Gaussian process X = {X(t) : t ¿ R} with stationary increments and variance function o2X (.), equipped with a deterministic drift c > 0, reflected at 0: Q(c)X (t) = sup-8