On-line scheduling of equal-length intervals on parallel machines

  • Authors:
  • Stanley P. Y. Fung;Chung Keung Poon;Duncan K. W. Yung

  • Affiliations:
  • University of Leicester, Leicester, UK;City University of Hong Kong, Hong Kong, China;City University of Hong Kong, Hong Kong, China

  • Venue:
  • Information Processing Letters
  • Year:
  • 2012

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Abstract

We consider the on-line preemptive scheduling of weighted equal-length intervals on multiple machines to maximize the total weight of completed intervals. We design an algorithm that is 2-competitive when the number of machines m is even; and (2+22m-1)-competitive when m is an odd number at least 3. For example, when m=3, it is 2.4-competitive. As m increases, the competitive ratio approaches 2.