Article ID: | iaor2007393 |
Country: | United States |
Volume: | 15 |
Issue: | 3 |
Start Page Number: | 310 |
End Page Number: | 319 |
Publication Date: | Jun 2003 |
Journal: | INFORMS Journal On Computing |
Authors: | Martello Silvano, Vigo Daniele, Monaci Michele |
Keywords: | cutting stock |
We consider the problem of orthogonally packing a given set of rectangular items into a given strip, by minimizing the overall height of the packing. The problem is NP-hard in the strong sense, and finds several applications in cutting and packing. We propose a new relaxation that produces good lower bounds and gives information to obtain effective heuristic algorithms. These results are used in a branch-and-bound algorithm, which was able to solve test instances from the literature involving up to 200 items.