Overflow Behavior in Queues with Many Long-Tailed Inputs

Abstract

We consider a fluid queue fed by a superposition of n homogeneous on-off sources with generally distributed onand off-periods. We scale buffer space B and link rate C by n, such that we get nb and nc, respectively. Then we let n grow large. In this regime, the overflow probability decays exponentially in the number of sources n; we specifically examine the… (More)

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