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Theory of Computing Systems

, Volume 43, Issue 1, pp 67–80 | Cite as

Speed Scaling of Tasks with Precedence Constraints

  • Kirk Pruhs
  • Rob van Stee
  • Patchrawat Uthaisombut
Article

Abstract

We consider the problem of speed scaling to conserve energy in a multiprocessor setting where there are precedence constraints between tasks, and where the performance measure is the makespan. That is, we consider an energy bounded version of the classic problem Pm | prec | C max . We extend the standard 3-field notation and denote this problem as Sm | prec, energy | C max . We show that, without loss of generality, one need only consider constant power schedules. We then show how to reduce this problem to the problem Qm | prec | C max  to obtain a poly-log(m)-approximation algorithm.

Keywords

Completion Time Optimal Schedule Binary Search Power Equality Precedence Constraint 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media, LLC 2007

Authors and Affiliations

  • Kirk Pruhs
    • 1
  • Rob van Stee
    • 2
  • Patchrawat Uthaisombut
    • 1
  1. 1.Computer Science DepartmentUniversity of PittsburghPittsburghUSA
  2. 2.Fakultät für InformatikUniversität KarlsruheKarlsruheGermany

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