The column subtraction algorithm: An exact method for solving weighted set covering, packing and partitioning problems

@article{Harche1994TheCS,
  title={The column subtraction algorithm: An exact method for solving weighted set covering, packing and partitioning problems},
  author={Farid Harche and Gerald L. Thompson},
  journal={Computers & OR},
  year={1994},
  volume={21},
  pages={689-705}
}
We present a new and conceptually simple approach for finding exact solutions to large set covering, packing and partitioning problems. The proposed algorithm is based on a new method, called the column subtraction (or row sum) method. First, a linear programming relaxation of the set problem is solved to optimality, using a specialized version of the pivot and probe algorithm of Sethi and Thompson, which has proved to be very effective in avoiding the massive degeneracy typical of these… CONTINUE READING
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