Queueing systems with state dependent parameters
Frontiers in queueing
Martingale Methods for Analysing Single-Server Queues
Queueing Systems: Theory and Applications
The M/G-G/1 Oscillating Queueing System
Queueing Systems: Theory and Applications
A STOCHASTIC CLEARING MODEL WITH A BROWNIAN AND A COMPOUND POISSON COMPONENT
Probability in the Engineering and Informational Sciences
Loss Rates for Lévy Processes with Two Reflecting Barriers
Mathematics of Operations Research
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We consider a (doubly) reflected Lévy process where the Lévy exponent is controlled by a hysteretic policy consisting of two stages. In each stage there is typically a different service speed, drift parameter, or arrival rate. We determine the steady-state performance, both for systems with finite and infinite capacity. Thereby, we unify and extend many existing results in the literature, focusing on the special cases of M/G/1 queues and Brownian motion.