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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)


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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Correspondence to Mehmet Akif Yazici .

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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.

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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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