On energy-aware M/G/1-LAS queue with batch arrivals

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Volume Title

A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä

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Mcode

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en

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7

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Operations Research Letters, Volume 47, issue 6, pp. 611-617

Abstract

We analyze an energy-aware MX/G/1 queue under LAS scheduling with a setup delay and an idle timer that controls the delay before the server enters a sleep state. Through a classical busy period analysis, the expression for the mean conditional delay is derived, which generalizes the earlier well-known result for the ordinary M/G/1-LAS queue. We also analyze the performance-energy tradeoff and show that two well-known cost metrics, weighted sum and product of the mean delay and mean power, are minimized by setting the timer equal to zero or infinite, i.e., a finite idle timer is never used.

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Lassila, P & Aalto, S 2019, 'On energy-aware M/G/1-LAS queue with batch arrivals', Operations Research Letters, vol. 47, no. 6, pp. 611-617. https://doi.org/10.1016/j.orl.2019.10.008