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A DC programming approach for constrained two-dimensional non-guillotine cutting problem

We investigate a new application of Difference of Convex functions programming and DCA in solving the constrained two-dimensional non-guillotine cutting problem. This problem consists of cutting a number of rectangular pieces from a large rectangular object. The cuts are done under some constraints and the objective is to maximize the total value of the pieces cut. We reformulate this problem as a DC program and solve it by DCA. The performance of the approach is compared with the standard solver CPLEX.

preprint2014arXivOpen access
Mahdi MoeiniHoai An Le Thi
Computational Engineering, Finance, and Science
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Mahdi MoeiniHoai An Le Thi

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