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M/M/1 Vacation Queue with Multiple Thresholds: A Fluid Analysis

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Quantitative Evaluation of Systems (QEST 2020)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 12289))

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Abstract

We propose an analytical method for an M/M/1 vacation queue with workload dependent service rates. We obtain the distribution of the workload in the system, and consider a power-saving and performance trade-off problem. Numerical experiments reveal that square root service rate function has lower cost than that of linear and quadratic service functions under certain scenarios.

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References

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Author information

Authors and Affiliations

  1. Informatics Institute, Istanbul Technical University, Istanbul, Turkey

    Mehmet Akif Yazici

  2. Faculty of Engineering, Information and Systems, University of Tsukuba, 1-1-1 Tennodai, Tsukuba, Ibaraki, 305-8573, Japan

    Tuan Phung-Duc

Authors
  1. Mehmet Akif Yazici
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  2. Tuan Phung-Duc
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Corresponding author

Correspondence to Mehmet Akif Yazici .

Editor information

Editors and Affiliations

  1. Politecnico di Milano, Milan, Italy

    Marco Gribaudo

  2. Chinese Academy of Sciences, Beijing, China

    David N. Jansen

  3. University of Münster, Münster, Germany

    Anne Remke

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Yazici, M.A., Phung-Duc, T. (2020). M/M/1 Vacation Queue with Multiple Thresholds: A Fluid Analysis. In: Gribaudo, M., Jansen, D.N., Remke, A. (eds) Quantitative Evaluation of Systems. QEST 2020. Lecture Notes in Computer Science(), vol 12289. Springer, Cham. https://doi.org/10.1007/978-3-030-59854-9_12

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  • DOI: https://doi.org/10.1007/978-3-030-59854-9_12

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-59853-2

  • Online ISBN: 978-3-030-59854-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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