Palmowski, Zbigniew; Vlasiou, Maria - In: Stochastic Processes and their Applications 121 (2011) 7, pp. 1546-1564
We consider a queuing model with the workload evolving between consecutive i.i.d. exponential timers according to a spectrally positive Lévy process Y(t) which is reflected at 0. When the exponential clock ends, the additional state-dependent service requirement modifies the workload so that...