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

Lassila, Pasi; Aalto, Samuli

doi:10.1016/j.orl.2019.10.008

Cited by 3 publications

(1 citation statement)

References 11 publications

(16 reference statements)

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“…Jobs that have received more than a certain amount of service are assigned a lower priority and speed modulation is applied to them only. Another example of server control involving the LAS policy is described by Lassila and Aalto [16]. In that work, LAS is combined with server sleeping states.…”

Section: Related Literaturementioning

confidence: 99%

A Foreground-Background queueing model with speed or capacity modulation

Marin¹,

Mitrani²

2021

Preprint

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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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Section: Related Literaturementioning

confidence: 99%

A Foreground-Background queueing model with speed or capacity modulation

Marin¹,

Mitrani²

2021

Preprint

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A Foreground–Background queueing model with speed or capacity modulation

Marin

Mitrani

2023

Indagationes Mathematicae

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Frequency scaling in multilevel queues

Elahi

Marin

Rossi

et al. 2020

Performance Evaluation

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In this paper, we study a variant of PS+PS multilevel scheduling, which we call the PS+IS queue. Specifically, we use Processor Sharing (PS) at both queues, but with linear frequency scaling on the second queue, so that the latter behaves like an Infinite Server (IS) queue. The goals of the system are low response times for small jobs in the first queue, and reduced power consumption for large jobs in the second queue. The novelty of our model includes the frequency scaling at the second queue, and the batch arrival process at the second queue induced by the busy period structure of the first queue which has strictly higher priority. We derive a numerical solution for the PS+IS queueing system in steady-state, and then study its properties under workloads obtained from fitting of TCP flow traces. The simulation results confirm the e cacy of the PS+IS model. This article is an introduction to our longer paper in [5].

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

Cited by 3 publications

References 11 publications

A Foreground-Background queueing model with speed or capacity modulation

A Foreground-Background queueing model with speed or capacity modulation

A Foreground–Background queueing model with speed or capacity modulation

Frequency scaling in multilevel queues

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