Online Scheduling of a Single Machine to Minimize Total Weighted Completion Time

  • Authors:
  • Edward J. Anderson;Chris N. Potts

  • Affiliations:
  • -;-

  • Venue:
  • Mathematics of Operations Research
  • Year:
  • 2004

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Abstract

This paper considers the online scheduling of a single machine in which jobs arrive over time, and preemption is not allowed. The goal is to minimize the total weighted completion time. We show that a simple modification of the shortest weighted processing time rule has a competitive ratio of two. This result is established using a new proof technique that does not rely explicitly on a lower bound on the optimal objective function value. Because it is known that no online algorithm can have a competitive ratio of less than two, we have resolved the open issue of determining the minimum competitive ratio for this problem.