TR#: | CS0181 |
Class: | CS |
Title: | Synthesis Of Multi-commodity Flow Problems |
Authors: | A. Itai and D.K. Pradhan |
CS0181.pdf | |
Abstract: | A necessary condition for synthesis of multi-commodity flow networks is derived. The feasible flow region of a multi-commodity flow network is shown to be an integer anti-blocking polyhedron. Also, it is established that this condition is sufficient for two-commodity flow networks. A synthesis algorithm for two-commodity flow networks is proposed. The size of the resulting networks is studied and for some regions it is shown to be pseuso-linear, and the network found by the algorithm is essentially optimal. |
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