Improved multi-processor scheduling for flow time and energy

  • Authors:
  • Tak-Wah Lam;Lap-Kei Lee;Isaac K. To;Prudence W. Wong

  • Affiliations:
  • Department of Computer Science, University of Hong Kong, Hong Kong, Hong Kong;Department of Computer Science, University of Hong Kong, Hong Kong, Hong Kong;Department of Computer Science, University of Liverpool, Liverpool, UK;Department of Computer Science, University of Liverpool, Liverpool, UK

  • Venue:
  • Journal of Scheduling
  • Year:
  • 2012

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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驴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驴P)-competitive where P is the ratio of the maximum job size to the minimum job size.