Queues with Lévy input and hysteretic control

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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 languageEnglish
Pages (from-to)281-299
Number of pages19
JournalQueueing Systems
Volume63
Issue number1-4
DOIs
Publication statusPublished - 2009

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