Document Type: Regular Paper
Department of Management, University of Isfahan, I. R. of Iran
The problem of finding the minimum cost multi-commodity flow in an undirected and complete
network is studied when the link costs are piecewise linear and convex. The arc-path model and overflow
model are presented to formulate the problem. The results suggest that the new overflow model outperforms
the classical arc-path model for this problem. The classical revised simplex, Frank and Wolf and a heuristic
method are compared for the problem.