Solving Parallel Machine Scheduling Problems by Column Generation

@article{Chen1999SolvingPM,
  title={Solving Parallel Machine Scheduling Problems by Column Generation},
  author={Zhi-Long Chen and Warren B. Powell},
  journal={INFORMS Journal on Computing},
  year={1999},
  volume={11},
  pages={78-94}
}
We consider a class of problems of scheduling n jobs on m identical, uniform, or unrelated parallel machines with an objective of minimizing an additive criterion. We propose a decomposition approach for solving these problems exactly. The decomposition approach rst formulates these problems as an integer program, and then reformulates the integer program, using Dantzig-Wolfe decomposition, as a set partitioning problem. Based on this set partitioning formulation, branch and bound exact… CONTINUE READING
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