Article ID: | iaor20023718 |
Country: | United States |
Volume: | 37 |
Issue: | 4 |
Start Page Number: | 210 |
End Page Number: | 218 |
Publication Date: | Jun 2001 |
Journal: | Networks |
Authors: | Jungnickel Dieter, Fremuth-Paeger Christian |
This paper discusses the balanced circulation polytope, that is, the convex hull of balanced circulations of a given balanced flow network. The LP description of this polytope is the LP description of ordinary circulations plus some odd-set constraints. The paper starts with an exposition of several classes of odd-set inequalities. These inequalities are described in terms of balanced network flows as well as matchings and put into relation to each other. Step by step, the problem of finding a cost minimum balanced circulation can be reduced to the