Name
Title | ||
|---|---|---|
Equivariant Perturbation in Gomory and Johnson's Infinite Group Problem. I. The One-Dimensional Case |
Abstract | ||
|---|---|---|
We give an algorithm for testing the extremality of minimal valid functions for Gomory and Johnson's infinite group problem that are piecewise linear possibly discontinuous with rational breakpoints. This is the first set of necessary and sufficient conditions that can be tested algorithmically for deciding extremality in this important class of minimal valid functions. We also present an extreme function that is a piecewise linear function with some irrational breakpoints, whose extremality follows from a new principle. |
Year | DOI | Venue |
|---|---|---|
2015 | 10.1287/moor.2014.0660 | Mathematics of Operations Research |
Keywords | DocType | Volume |
integer programming,cutting planes,cut generating functions,minimal and extreme functions,infinite group relaxation | Journal | 40 |
Issue | ISSN | Citations |
1 | 0364-765X | 5 |
PageRank | References | Authors |
0.41 | 19 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Amitabh Basu | 1 | 331 | 27.36 |
| Robert Hildebrand | 2 | 69 | 7.82 |
| Matthias KöPpe | 3 | 191 | 20.95 |