An alternative proof of the Kawaguchi-Kyan bound for the Largest-Ratio-First rule

  • Authors:
  • Uwe Schwiegelshohn

  • Affiliations:
  • -

  • Venue:
  • Operations Research Letters
  • Year:
  • 2011

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Abstract

In a well-known paper from 1986, Kawaguchi and Kyan proved that the Largest-Ratio-First rule for total weighted completion time scheduling on identical parallel machines has a worst case ratio of 12(1+2). We provide an alternative and simple proof for this result.