Competitive on-line scheduling with level of service

  • Authors:
  • Ee-Chien Chang;Chee Yap

  • Affiliations:
  • Department of Computational Science, National University of Singapore, Singapore;Department of Computer Science, Courant Institute, New York University

  • Venue:
  • Journal of Scheduling - Special issue: On-line scheduling
  • Year:
  • 2003

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Abstract

Motivated by an application in thinwire visualization, we study an abstract on-line scheduling problem where the size of each requested service can be scaled down by the scheduler. Thus, our problem embodies a notion of "Level of Service" that is increasingly important in multimedia applications. We give two schedulers FirstFit and EndFit based on two simple heuristics, and generalize them into a class of greedy schedulers. We show that both FirstFit and EndFit are 2-competitive, and any greedy scheduler is 3-competitive. These bounds are shown to be tight.