Scheduling Jobs on Grid Processors

  • Joan Boyar
  • Lene M. Favrholdt
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4059)


We study a new kind of on-line bin packing motivated by a problem arising when scheduling jobs on the Grid. In this bin packing problem, the set of items is given at the beginning, and variable-sized bins arrive one by one. A closely related problem was introduced by Zhang in 1997. Our main result answers a question posed in that paper in the affirmative: we give an algorithm with a competitive ratio strictly better than 2, for our problem as well as Zhang’s problem.


Total Size Competitive Ratio Large Item Item Size Grid Schedule 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Joan Boyar
    • 1
  • Lene M. Favrholdt
    • 1
  1. 1.Department of Mathematics and Computer ScienceUniversity of Southern Denmark 

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