List's worst-average-case or WAC ratio

  • Authors:
  • Christopher J. Osborn;Eric Torng

  • Affiliations:
  • Department of Computer Science, University of Illinois at Urbana-Champaign, Urbana, USA 61801;Department of Computer Science and Engineering, Michigan State University, East Lansing, USA 48824

  • Venue:
  • Journal of Scheduling
  • Year:
  • 2008

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Abstract

We analyze the List scheduling algorithm for the problem of minimizing makespan using a worst-average-case or wac analysis technique, previously used by Kenyon for analyzing the Best Fit bin packing algorithm. We show that List's worst-average-case or wac ratio asymptotically approaches 2, as m-∞. Thus, List's worst-case behavior is not overly dependent on the order of job arrivals.