Semi-Online Preemptive Scheduling: One Algorithm for All Variants

  • Authors:

  • Tomáš Ebenlendr;Jiří Sgall

  • Affiliations:

  • AS CR, Žitná 25, Institute of Mathematics, 11567, Praha 1, Czech Republic;Charles University, Malostranské nám. 25, Dept. of Applied Mathematics, Faculty of Mathematics and Physics, 11800, Praha 1, Czech Republic

  • Venue:
  • Theory of Computing Systems
  • Year:
  • 2011

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Abstract

We present a unified optimal semi-online algorithm for preemptive scheduling on uniformly related machines with the objective to minimize the makespan. This algorithm works for all types of semi-online restrictions, including the ones studied before, like sorted (decreasing) jobs, known sum of processing times, known maximal processing time, their combinations, and so on. Based on the analysis of this algorithm, we derive some global relations between various semi-online restrictions and tight bounds on the approximation ratios for a small number of machines.