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A Single Server Queue with Workload-Dependent Service Speed and Vacations

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Queueing Theory and Network Applications (QTNA 2019)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 11688))

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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.

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Author information

Authors and Affiliations

  1. Department of Computer Science, National Defense Academy of Japan, Yokosuka-shi, Japan

    Yutaka Sakuma

  2. Department of Mathematics and Computer Science, Eindhoven University of Technology, Eindhoven, The Netherlands

    Onno Boxma

  3. Department of Policy and Planning Sciences, University of Tsukuba, Tsukuba-shi, Japan

    Tuan Phung-Duc

Authors
  1. Yutaka Sakuma
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  2. Onno Boxma
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  3. Tuan Phung-Duc
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Corresponding author

Correspondence to Yutaka Sakuma .

Editor information

Editors and Affiliations

  1. University of Tsukuba, Tsukuba, Japan

    Tuan Phung-Duc

  2. Nara Institute of Science and Technology, Nara, Japan

    Shoji Kasahara

  3. Ghent University, Ghent, Belgium

    Sabine Wittevrongel

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Sakuma, Y., Boxma, O., Phung-Duc, T. (2019). A Single Server Queue with Workload-Dependent Service Speed and Vacations. In: Phung-Duc, T., Kasahara, S., Wittevrongel, S. (eds) Queueing Theory and Network Applications. QTNA 2019. Lecture Notes in Computer Science(), vol 11688. Springer, Cham. https://doi.org/10.1007/978-3-030-27181-7_8

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  • DOI: https://doi.org/10.1007/978-3-030-27181-7_8

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-27180-0

  • Online ISBN: 978-3-030-27181-7

  • eBook Packages: Computer ScienceComputer Science (R0)

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