Optimal speed scaling under arbitrary power functions

  • Authors:
  • Lachlan L.H. Andrew;Adam Wierman;Ao Tang

  • Affiliations:
  • Swinburne University of Technology, Australia;California Institute of Technology;Cornell University

  • Venue:
  • ACM SIGMETRICS Performance Evaluation Review
  • Year:
  • 2009

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Abstract

This paper investigates the performance of online dynamic speed scaling algorithms for the objective of minimizing a linear combination of energy and response time. We prove that (SRPT, P--1 (n)), which uses Shortest Remaining Processing Time (SRPT) scheduling and processes at speed such that the power used is equal to the queue length, is 2-competitive for a very wide class of power-speed tradeoff functions. Further, we prove that there exist tradeoff functions such that no online algorithm can attain a competitive ratio less than 2.