Scheduling with Incompatible Jobs

@article{Bodlaender1992SchedulingWI,
  title={Scheduling with Incompatible Jobs},
  author={Hans L. Bodlaender and Klaus Jansen and Gerhard J. Woeginger},
  journal={Discrete Applied Mathematics},
  year={1992},
  volume={55},
  pages={219-232}
}
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 ofjobs, our algorithms strongly rely on graph… CONTINUE READING