Article ID: | iaor20032493 |
Country: | Germany |
Volume: | 93 |
Issue: | 1 |
Start Page Number: | 123 |
End Page Number: | 127 |
Publication Date: | Jan 2002 |
Journal: | Mathematical Programming |
Authors: | Cornujols G., Li Y. |
Keywords: | programming: integer |
In this paper, we relate several questions about cutting planes to a fundamental problem in the geometry of numbers, namely, the closest vector problem. Using this connection we show that the dominance, membership and validity problems are NP-complete for Chvátal and split cuts.