Nesting Problems: Exact and Heuristic Algorithms

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This book presents a new Mixed Integer Programming model for the 2-Dimensional Cutting and Packing problems involving irregular shapes. This model is used in order to develope a exact algorithm, a Branch and Cut algorithm, which is able to solve instances up to 16 pieces to optimality. On the other hand, there is proposed a Matheuristic algorithm which produce competitive results on problems with up to 99 pieces. Finally, we have developed a constructive procedure which produce the best known results in the 2-Dimensional Irregular Bin Packing problems with Guillotine Cuts.