Paper by Erik D. Demaine

Erik D. Demaine, Mohammad Ghodsi, MohammadTaghi Hajiaghayi, Amin S. Sayedi-Roshkhar, and Morteza Zadimoghaddam, “Scheduling to Minimize Gaps and Power Consumption”, in Proceedings of the 19th ACM Symposium on Parallelism in Algorithms and Architectures (SPAA 2007), San Diego, California, June 9–11, 2007, pages 46–54.

This paper considers scheduling tasks while minimizing the power consumption of one or more processors, each of which can go to sleep at a fixed cost α. There are two natural versions of this problem, both considered extensively in recent work: minimize the total power consumption (including computation time), or minimize the number of “gaps” in execution. For both versions in a multiprocessor system, we develop a polynomial-time algorithm based on sophisticated dynamic programming. In a generalization of the power-saving problem, where each task can execute in any of a specified set of time intervals, we develop a (1 + (2/3)α)-approximation, and show that dependence on α is necessary. In contrast, the analogous multi-interval gap scheduling problem is set-cover hard (and thus not o(lg n)-approximable), even in the special cases of just two intervals per job or just three unit intervals per job. We also prove several other hardness-of-approximation results. Finally, we give an O(√n)-approximation for maximizing throughput given a hard upper bound on the number of gaps.

The paper is 9 pages.

The paper is available in PostScript (335k) and PDF (247k).
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Related papers:
GapScheduling_JScheduling (Scheduling to Minimize Gaps and Power Consumption)
SubmodularGapScheduling_SPAA2010 (Scheduling to Minimize Power Consumption using Submodular Functions)

See also other papers by Erik Demaine.
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Last updated June 13, 2024 by Erik Demaine.