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This document discusses a branch-and-cut-and-price algorithm for solving two discrete optimization problems: the one-dimensional stock cutting problem and the two-dimensional two-stage guillotine constrained cutting problem. The algorithm combines column generation, branching on variables, and cutting planes like Chvátal-Gomory cuts to strengthen the LP relaxation at each node. Computational results show the approach is effective for the two-dimensional problem but general cutting planes provide little bene

Author

omega unique

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EN