Beschreibung:
<jats:p>We study a fluid flow queueing system with <jats:italic>m</jats:italic> independent sources alternating between periods of silence and activity; <jats:italic>m</jats:italic> ≥ 2. The distribution function of the activity periods of one source, is supposed to be <jats:italic>intermediate regular varying</jats:italic>. We show that the distribution of the net increment of the buffer during an aggregate activity period (i.e. when at least one source is active) is asymptotically tail-equivalent to the distribution of the net input during a single activity period with intermediate regular varying distribution function. In this way, we arrive at an asymptotic representation of the Palm-stationary tail-function of the buffer content at the beginning of aggregate activity periods. Our approach is probabilistic and extends recent results of Boxma (1996; 1997) who considered the special case of regular variation.</jats:p>