network optimization with piecewise linear convex costs
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abstract
the problem of finding the minimum cost multi-commodity flow in an undirected and completenetwork is studied when the link costs are piecewise linear and convex. the arc-path model and overflowmodel are presented to formulate the problem. the results suggest that the new overflow model outperformsthe classical arc-path model for this problem. the classical revised simplex, frank and wolf and a heuristicmethod are compared for the problem.
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Journal title:
iranian journal of science and technology (sciences)ISSN 1028-6276
volume 30
issue 3 2006
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