An efficient algorithm for computing optimal discrete voltage schedules

  • Authors:
  • Minming Li;Frances F. Yao

  • Affiliations:
  • State Key Laboratory of Intelligent Technology and Systems, Dept. of Computer Science and Technology, Tsinghua Univ., Beijing, China;Department of Computer Science, City University of Hong Kong

  • Venue:
  • MFCS'05 Proceedings of the 30th international conference on Mathematical Foundations of Computer Science
  • Year:
  • 2005

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Abstract

We consider the problem of job scheduling on a variable voltage processor with d discrete voltage/speed levels. We give an algorithm which constructs a minimum energy schedule for n jobs in O(dnlog n) time. Previous approaches solve this problem by first computing the optimal continuous solution in O(n3) time and then adjusting the speed to discrete levels. In our approach, the optimal discrete solution is characterized and computed directly from the inputs. We also show that O(nlog n) time is required, hence the algorithm is optimal for fixed d.