| Article ID: | iaor1993594 |
| Country: | Netherlands |
| Volume: | 54 |
| Issue: | 3 |
| Start Page Number: | 335 |
| End Page Number: | 351 |
| Publication Date: | Mar 1992 |
| Journal: | Mathematical Programming (Series A) |
| Authors: | Topkis Donald M. |
| Keywords: | polymatroids |
This paper establishes bounds on the length of certain strictly monotone paths, relative to a given linear objective function, on a polymatroid or on the base of a polymatroid. Specialized bounds are given for a strict polymatroid and for a matroid polyhedron. Bounds on the diameter are included.