Competitive Online Scheduling with Level of Service

  • Authors:
  • Ee-Chien Chang;Chee-Keng Yap

  • Affiliations:
  • -;-

  • Venue:
  • COCOON '01 Proceedings of the 7th Annual International Conference on Computing and Combinatorics
  • Year:
  • 2001

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Abstract

Motivated by an application in thinwire visualization, we study an abstract on-line scheduling problem. Unlike most scheduling problems, our schedulers can gain partial merit from a partially served request. 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.