An approximation algorithm for identical parallel machine scheduling with resource dependent processing times

  • Authors:
  • Hans Kellerer

  • Affiliations:
  • Institut für Statistik und Operations Research, Universität Graz, Universitätsstraíe 15, A-8010, Graz, Austria

  • Venue:
  • Operations Research Letters
  • Year:
  • 2008

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Abstract

We present a (3.5+@?)-approximation algorithm for a scheduling problem on identical parallel machines with the objective to mimimize the makespan. The processing times depend on the usage of a single renewable resource where at any point of time at most k units from the resource are available.