2005, English, Article edition: On-line Bicriteria Interval Scheduling Baille, Fabien; Bampis, Evripidis; Laforest, Christian; ...

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Physical Description
  • text
Published
  • HAL - CCSD
  • 2005
Language
  • English

Edition details

Title
  • On-line Bicriteria Interval Scheduling
Author
  • Baille, Fabien
  • Bampis, Evripidis
  • Laforest, Christian
  • Thibault, Nicolas
Published
  • HAL - CCSD
  • 2005
Physical Description
  • text
Subjects
Notes
  • We consider the problem of scheduling a sequence of intervals revealed on-line one by one in the order of their release dates on a set of k identical machines. Each interval i is associated with a processing time p i and a pair of arbitrary weights ( w i A, w i B) and may be scheduled on one of the k identical machines or rejected. The objective is to determine a valid schedule maximizing the sum of the weights of the scheduled intervals for each coordinate. We first propose a generic on-line algorithm based on the combination of two monocriteria on-line algorithms and we prove that it gives rise to a pair of competitive ratios that are function of the competitive ratios of the monocriteria algorithms in the input. We apply this technique to the special case where w i A=​1 and w i B=​ p i for every interval and as a corollary we obtain a pair of constant competitive ratios.
  • HAL:hal-00341367, version 1
  • HAL:http:/​/​hal.archives-ouvertes.fr/​hal-00341367/​en/​
  • DOI:10.1007/​11549468_36
Language
  • English
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