A single server queue with workload-dependent service speed and vacations

Yutaka Sakuma, Onno Boxma, Tuan Phung-Duc

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Abstract

In modern data centers, the trade-off between processing speed and energy consumption is an important issue. Motivated by this, we consider a queueing system in which the service speed is a function of the workload, and in which the server switches off when the system becomes empty, only to be activated again when the workload reaches a certain threshold. For this system we obtain the steady-state workload distribution. We use this result to choose the activation threshold such that a certain cost function, involving holding costs and activation costs, is minimized.

Original languageEnglish
Title of host publicationQueueing Theory and Network Applications - 14th International Conference, QTNA 2019, Proceedings
EditorsTuan Phung-Duc, Shoji Kasahara, Sabine Wittevrongel
PublisherSpringer
Pages112-127
Number of pages16
ISBN (Print)9783030271800
DOIs
Publication statusPublished - 1 Jan 2019
Event14th International Conference on Queueing Theory and Network Applications, QTNA 2019 - Ghent, Belgium
Duration: 27 Aug 201929 Aug 2019

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume11688 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference14th International Conference on Queueing Theory and Network Applications, QTNA 2019
CountryBelgium
CityGhent
Period27/08/1929/08/19

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Keywords

  • Cost optimization
  • Level crossing technique
  • Power-saving mechanisms
  • Single server queue
  • Steady-state workload distribution
  • Workload-dependent service speed and vacations

Cite this

Sakuma, Y., Boxma, O., & Phung-Duc, T. (2019). A single server queue with workload-dependent service speed and vacations. In T. Phung-Duc, S. Kasahara, & S. Wittevrongel (Eds.), Queueing Theory and Network Applications - 14th International Conference, QTNA 2019, Proceedings (pp. 112-127). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 11688 LNCS). Springer. https://doi.org/10.1007/978-3-030-27181-7_8