An M/G/1 queue with adaptable service speed

R. Bekker, O.J. Boxma

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Abstract

We consider a queueing system where feedback information about the level of congestion is given right after arrival instants. When the amount of work right after arrival is at most (respectively, larger than) K, then the server works at speed r1 (respectively, r2) until the next arrival instant. We derive the distribution of the workload right after and right before arrivals, as well as in steady state. In addition, we consider the generalization to the N-step service rule.
Original languageEnglish
Pages (from-to)373-396
JournalStochastic Models
Volume23
DOIs
Publication statusPublished - 2007

Bibliographical note

BBoxma07

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