Article ID: | iaor20081988 |
Country: | Netherlands |
Volume: | 35 |
Issue: | 2 |
Start Page Number: | 221 |
End Page Number: | 226 |
Publication Date: | Mar 2007 |
Journal: | Operations Research Letters |
Authors: | Mahey P., Souza M.C. de |
We consider here a multicommodity flow network optimization problem with non-convex but piecewise convex arc cost functions. We derive complete optimality conditions for local minima based on negative-cost cycles associated with each commodity. These conditions do not extend to the convex non-smooth case.