On energy-aware M/G/1-LAS queue with batch arrivals
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A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
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Authors
Lassila, Pasi
Aalto, Samuli
Date
2019-11-01
Major/Subject
Mcode
Degree programme
Language
en
Pages
7
611-617
611-617
Series
Operations Research Letters, Volume 47, issue 6
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.Description
Keywords
Least attained service, M/G/1 queue with setup delay, Mean delay analysis, Performance-energy tradeoff
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Citation
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