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arXiv · 2112.01058

A Foreground-Background queueing model with speed or capacity modulation

Andrea Marin·Isi Mitrani
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Abstract

The models studied in the steady state involve two queues which are served either by a single server whose speed depends on the number of jobs present, or by several parallel servers whose number may be controlled dynamically. Job service times have a two-phase Coxian distribution and the second phase is given lower priority than the first. The trade-offs between holding costs and energy consumption costs are examined by means of a suitable cost functions. Two different two-dimensional Markov process are solved exactly. The solutions are used in several numerical experiments. Some counter-intuitive results are observed.

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Andrea Marin, Isi Mitrani. 2021-12-02. A Foreground-Background queueing model with speed or capacity modulation. https://arxiv.org/abs/2112.01058

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