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Scheduling with incompatible jobs

  • Hans L. Bodlaender
  • Klaus Jansen
  • Gerhard J. Woeginger
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 657)

Abstract

We consider scheduling problems in a multiprocessor system with incompatible jobs (two incompatible jobs cannot be processed by the same machine). We consider the problem to minimize the maximum job completion time, the makespan. This problem is NP-complete.

We present a number of polynomial time approximation algorithms for this problem where the job incompatibilities possess a special structure. As the incompatibilities form a graph on the set of jobs, our algorithms strongly rely on graph theoretic methods. We also solve an open problem by Biró, Hujter and Tuza on coloring precolored bipartite graphs.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1993

Authors and Affiliations

  • Hans L. Bodlaender
    • 1
  • Klaus Jansen
    • 2
  • Gerhard J. Woeginger
    • 3
  1. 1.Department of Computer ScienceUtrecht UniversityTB UtrechtThe Netherlands
  2. 2.Fachbereich IV, Mathematik und InformatikUniversität TrierTrierGermany
  3. 3.Institut für InformationsverarbeitungTU GrazGrazAustria

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