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A bad network problem for the simplex method and other minimum cost flow algorithms
Authors:Norman Zadeh
Institution:(1) IBM Thomas J. Watson Research Center, Yorktown Heights, New York, USA
Abstract:For any integern, a modified transportation problem with 2n + 2 nodes is constructed which requires 2 n + 2 n–2–2 iterations using all but one of the most commonly used minimum cost flow algorithms.As a result, the Edmonds—Karp Scaling Method 3] becomes the only known ldquogoodrdquo (in the sense of Edmonds) algorithm for computing minimum cost flows.
Keywords:
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