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Energy Efficiency of a Single-Server with Inactive State by Matrix-Analytic Method

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Information Technologies and Mathematical Modelling. Queueing Theory and Applications (ITMM 2021)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 1605))

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Abstract

We consider a single-server system with energy saving inactive state, non-zero setup, shutoff and hot reserve state. Matrix-analytic method is used to obtain the steady-state performance and average power demand, as well as study the energy-performance tradeoff in explicit way. Numerical results illustrate the model’s properties.

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Acknowledgements

The publication has been prepared with the support of Russian Science Foundation according to the research project No.21-71-10135 https://rscf.ru/en/project/21-71-10135/. The authors thank the referees for carefully reading the paper and for suggestions which helped to improve the paper.

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Authors and Affiliations

  1. Institute of Applied Mathematical Research, Karelian Research Centre of RAS, Petrozavodsk, Russia

    Alexander Golovin & Alexander Rumyantsev

  2. Petrozavodsk State University, Petrozavodsk, Russia

    Alexander Rumyantsev

Authors
  1. Alexander Golovin
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  2. Alexander Rumyantsev
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Correspondence to Alexander Rumyantsev .

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Editors and Affiliations

  1. Belarusian State University, Minsk, Belarus

    Alexander Dudin

  2. Tomsk State University, Tomsk, Russia

    Anatoly Nazarov

  3. Tomsk State University, Tomsk, Russia

    Alexander Moiseev

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Golovin, A., Rumyantsev, A. (2022). Energy Efficiency of a Single-Server with Inactive State by Matrix-Analytic Method. In: Dudin, A., Nazarov, A., Moiseev, A. (eds) Information Technologies and Mathematical Modelling. Queueing Theory and Applications. ITMM 2021. Communications in Computer and Information Science, vol 1605. Springer, Cham. https://doi.org/10.1007/978-3-031-09331-9_14

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  • DOI: https://doi.org/10.1007/978-3-031-09331-9_14

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-09330-2

  • Online ISBN: 978-3-031-09331-9

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