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Single-Server Systems with Power-Saving Modes

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Analytical and Stochastic Modelling Techniques and Applications (ASMTA 2015)

Part of the book series: Lecture Notes in Computer Science ((LNPSE,volume 9081))

Abstract

Vacations queues are motivated from the need of utilizing the server when it is idle. Most of papers in the literature assume that consecutive vacations follow the same distribution. Recently, Ibe et al. [5] consider a model where the lengths of consecutive vacations follow different distributions and obtain the steady state solution by a direct method. In this paper, we first consider the same model and obtain exact results as well as the decomposition for the queue length and the sojourn time via a generating function approach. We then demonstrate that our method can analyze more complex models with working vacations or with abandonment. Numerical results show insights into the performance of single server systems with power-saving modes.

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References

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Author information

Authors and Affiliations

  1. Department of Mathematical and Computing Sciences, Tokyo Institute of Technology, Ookayama, Meguro-ku, Tokyo, Japan

    Tuan Phung-Duc

Authors
  1. Tuan Phung-Duc
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Correspondence to Tuan Phung-Duc .

Editor information

Editors and Affiliations

  1. Politecnico di Milano, Milano, Italy

    Marco Gribaudo

  2. Università degli Studi di Torino, Torino, Italy

    Daniele Manini

  3. Universität Münster, Münster, Germany

    Anne Remke

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Phung-Duc, T. (2015). Single-Server Systems with Power-Saving Modes. In: Gribaudo, M., Manini, D., Remke, A. (eds) Analytical and Stochastic Modelling Techniques and Applications. ASMTA 2015. Lecture Notes in Computer Science(), vol 9081. Springer, Cham. https://doi.org/10.1007/978-3-319-18579-8_12

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  • DOI: https://doi.org/10.1007/978-3-319-18579-8_12

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-18578-1

  • Online ISBN: 978-3-319-18579-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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