2005, English, Article edition: Approximation results for a bicriteria job scheduling problem on a single machine without preemption Angel, Eric; Bampis, Evripidis; Gourvès, Laurent

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Bookmark: http://trove.nla.gov.au/version/209560
Physical Description
  • text
Published
  • HAL - CCSD
  • 2005
Language
  • English

Edition details

Title
  • Approximation results for a bicriteria job scheduling problem on a single machine without preemption
Author
  • Angel, Eric
  • Bampis, Evripidis
  • Gourvès, Laurent
Published
  • HAL - CCSD
  • 2005
Physical Description
  • text
Subjects
Notes
  • We study the problem of minimizing the average weighted completion time on a single machine under the additional constraint that the sum of completion times does not exceed a given bound B (1|ΣCj ≤ B| ΣωjCj) for which we propose a (2,1)-approximation algorithm. We also address the problem 1|ΣcjCj ≤ B|ΣωjCj for which we present a (2,2)-approximation algorithm. After showing that the problem of minimizing two different sums of weighted completion times is intractable, we present an algorithm which computes a (2(1 + ε), 1) (respectively (2(1 + ε), 2))-approximate Pareto curve for the problem 1∥(ΣCj, ΣωjCj) (respectively 1∥(ΣcjCj,ΣωjCj).
  • HAL:hal-00341347, version 1
  • HAL:http:/​/​hal.archives-ouvertes.fr/​hal-00341347/​en/​
Language
  • English
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