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Improved multi-processor scheduling for flow time and energy

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Abstract

Energy usage has been an important concern in recent research on online scheduling. In this paper, we study the tradeoff between flow time and energy (Albers and Fujiwara in ACM Trans. Algorithms 3(4), 2007; Bansal et al. in Proceedings of ACM-SIAM Symposium on Discrete Algorithms, pp. 805–813, 2007b, Bansal et al. in Proceedings of International Colloquium on Automata, Languages and Programming, pp. 409–420, 2008; Lam et al. in Proceedings of European Symposium on Algorithms, pp. 647–659, 2008b) in the multi-processor setting. Our main result is an enhanced analysis of a simple non-migratory online algorithm called CRR (classified round robin) on m≥2 processors, showing that its flow time plus energy is within O(1) times of the optimal non-migratory offline algorithm, when the maximum allowable speed is slightly relaxed. The result still holds even if the comparison is made against the optimal migratory offline algorithm. This improves previous analysis that CRR is O(log P)-competitive where P is the ratio of the maximum job size to the minimum job size.

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Authors and Affiliations

  1. Department of Computer Science, University of Hong Kong, Hong Kong, Hong Kong

    Tak-Wah Lam & Lap-Kei Lee

  2. Department of Computer Science, University of Liverpool, Liverpool, UK

    Isaac K. K. To & Prudence W. H. Wong

Authors
  1. Tak-Wah Lam
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  2. Lap-Kei Lee
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  3. Isaac K. K. To
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  4. Prudence W. H. Wong
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Corresponding author

Correspondence to Prudence W. H. Wong.

Additional information

A preliminary version of this paper appeared in the proceedings of the Twentieth ACM Symposium on Parallelism in Algorithms and Architectures, 2008.

T.W. Lam is partially supported by HKU Grant 7176104.

I.K.K. To and P.W.H. Wong are partially supported by EPSRC Grant EP/E028276/1.

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Lam, TW., Lee, LK., To, I.K.K. et al. Improved multi-processor scheduling for flow time and energy. J Sched 15, 105–116 (2012). https://doi.org/10.1007/s10951-009-0145-5

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  • DOI: https://doi.org/10.1007/s10951-009-0145-5

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