Energy Efficient Online Deadline Scheduling

Ho-Leung Chan, Wun-Tat Chan, Tak-Wah Lam, Lap-Kei Lee, Kin-Sum Mak, Prudence W. H. Wong

Research output: Chapter in Book/Report/Conference proceedingConference paper

86 Citations (Scopus)

Abstract

This paper extends the study of online algorithms for energy-efficient deadline scheduling to the overloaded setting. Specifically, we consider a processor that can vary its speed between 0 and a maximum speed T to minimize its energy usage (of which the rate is roughly a cubic function of the speed). As the speed is upper bounded, the system may be overloaded with jobs and no scheduling algorithms can meet the deadlines of all jobs. An optimal schedule is expected to maximize the throughput, and furthermore, its energy usage should be the smallest among all schedules that achieve the maximum throughput. In designing a scheduling algorithm, one has to face the dilemma of selecting more jobs and being conservative in energy usage. Even if we ignore energy usage, the best possible online algorithm is 4-competitive on throughput [12]. On the other hand, existing work on energy-efficient scheduling focuses on minimizing the energy to complete all jobs on a processor with unbounded speed, giving several O(1)-competitive algorithms with respect to the energy usage [2, 20]. This paper presents the first online algorithm for the more realistic setting where processor speed is bounded and the system may be overloaded; the algorithm is O(1)-competitive on both throughput and energy usage. If the maximum speed of the online scheduler is relaxed slightly to (1 + ε)T for some ε > 0, we can improve the competitive ratio on throughput to arbitrarily close to one, while maintaining O(1)-competitive on energy usage.
Original languageEnglish
Title of host publicationThe Proceedings of the 18th Annual ACM-SIAM Symposium on Discrete Algorithms - SODA 2007
PublisherUnknown Publisher
Pages795 - 804
Number of pages10
Publication statusPublished - 2007
EventThe Proceedings of the 18th Annual ACM-SIAM Symposium on Discrete Algorithms (SODA 2007) - New Orleans, United States
Duration: 7 Jan 20079 Jan 2007

Publication series

NameSymposium on Discrete Algorithms (SODA)

Conference

ConferenceThe Proceedings of the 18th Annual ACM-SIAM Symposium on Discrete Algorithms (SODA 2007)
Country/TerritoryUnited States
CityNew Orleans
Period7/01/20079/01/2007

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