Abstract
We consider a continuous time stochastic fluid model with alternating on- and off-periods. During on-periods the process increases linearly, during off periods there is an additional negative decrease rate, proportional to the content level. While the durations of the on-periods have an exponential distribution we allow for general distributions for the durations of the off-periods. We study the overflow time of the system and its behavior as the overflow level tends to infinity. Such systems can be related to queuing systems which switch between a one-server mode and phases with infinitely many available servers.
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