# 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} }

- Published 1994 in Computers & OR
DOI:10.1016/0305-0548(94)90083-3

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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