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”, Journal of Scheduling, volume 16, number 2, April 2013, pages 151–160.
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
for maximizing throughput given a hard upper bound on the number of gaps.
- This paper is also available from SpringerLink.
- The paper is 15 pages.
- The paper is available in PostScript (644k), gzipped PostScript (311k), and PDF (346k).
- See information on file formats.
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- Related papers:
- GapScheduling_SPAA2007 (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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