Abstract
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. © The Author(s) 2009.
Original language | English |
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Pages (from-to) | 281-299 |
Number of pages | 19 |
Journal | Queueing Systems |
Volume | 63 |
Issue number | 1-4 |
DOIs | |
Publication status | Published - 2009 |