Preemptive semi-online scheduling with tightly-grouped processing times

  • Authors:
  • Yong He;Yi-Wei Jiang

  • Affiliations:
  • Department of Mathematics, Zhejiang University, Hangzhou 310027, P.R. China;State Key Lab of CAD & CG, Zhejiang University, Hangzhou 310027, P.R. China

  • Venue:
  • Journal of Computer Science and Technology
  • Year:
  • 2004

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Abstract

This paper investigates a preemptive semi-online scheduling problem on m identical parallel machines where m = 2, 3. It is assumed that all jobs have their processing times in between p and rp (p 0, r ≥ 1). The goal is to minimize the makespan. Best possible algorithms are designed for any r ≥ 1 when m = 2, 3.