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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)


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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Correspondence to Yutaka Sakuma .

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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.

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-27180-0

  • Online ISBN: 978-3-030-27181-7

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