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General Multiprocessor Task Scheduling: Approximate Solutions in Linear Time

  • Klaus Jansen
  • Lorant Porkolab
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1663)

Abstract

We study the problem of scheduling a set of n independent tasks on a fixed number of parallel processors, where the execution time of a task is a function of the subset of processors assigned to the task. We propose a fully polynomial approximation scheme that for any fixed > 0 finds a preemptive schedule of length at most (1 + ) times the optimum in O(n) time.We also discuss the non-preemptive variant of the problem, and present a polynomial approximation scheme that computes an approximate solution of any fixed accuracy in linear time. In terms of the running time, this linear complexity bound gives a substantial improvement of the best previously known polynomial bound [5].

Keywords

Total Execution Time Total Processing Time Polynomial Time Approximation Scheme Preemptive Schedule Small Task 
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-Verlag Berlin Heidelberg 1999

Authors and Affiliations

  • Klaus Jansen
    • 1
  • Lorant Porkolab
    • 2
  1. 1.IDSIA LuganoLuganoSwitzerland
  2. 2.Max-Planck-Institut für InformatikSaarbrückenGermany

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