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Multiserver Queues with Finite Capacity and Setup Time

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

Abstract

Multiserver queues with setup time have been extensively studied because they have application in modelling of power-saving data centers. Although the infinite buffer models are extensively investigated, less attention has been paid to finite buffer models. This paper considers an M/M/\(c\)/\(K\) queue with setup time for which we suggest a simple and numerically stable recursion for the stationary distribution of the system state. Numerical experiments show various insights into the performance of the system such as performance-energy tradeoff as well as the effect of the capacity on the blocking probability and the mean queue length.

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Correspondence to Tuan Phung-Duc .

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Phung-Duc, T. (2015). Multiserver Queues with Finite Capacity and Setup Time. 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_13

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  • DOI: https://doi.org/10.1007/978-3-319-18579-8_13

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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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