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Queueing Systems

, Volume 54, Issue 2, pp 85–97 | Cite as

A large-deviations analysis of the GI/GI/1 SRPT queue

  • Misja Nuyens
  • Bert Zwart
Article

Abstract

We consider a GI/GI/1 queue with the shortest remaining processing time discipline (SRPT) and light-tailed service times. Our interest is focused on the tail behavior of the sojourn-time distribution. We obtain a general expression for its large-deviations decay rate. The value of this decay rate critically depends on whether there is mass in the endpoint of the service-time distribution or not. An auxiliary priority queue, for which we obtain some new results, plays an important role in our analysis. We apply our SRPT results to compare SRPT with FIFO from a large-deviations point of view.

Keywords

Busy period Large deviations Priority queue Shortest remaining processing time Sojourn time 

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Copyright information

© Springer Science + Business Media, LLC 2006

Authors and Affiliations

  1. 1.Department of MathematicsVrije Universiteit AmsterdamAmsterdamThe Netherlands
  2. 2.CWIAmsterdamThe Netherlands
  3. 3.Department of Mathematics & Computer ScienceEindhoven University of TechnologyEindhovenThe Netherlands

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