Basis properties and algorithmic specializations for gub transformed networks |
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| Authors: | GTerry Ross Robert F Schneider |
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| Institution: | Analysis, Research and Computation, Inc. P.O. Box 4067, Austin, Texas 78765, U.S.A.;Department of General Business, College of Business Administration, BEB 600, University of Texas, Austin, Texas 78712, U.S.A. |
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| Abstract: | Applying standard transformations of generalized upper bounding (GUB) theory to a pure or generalized network basis is shown to yield a reduced working basis that is itself a basis for a reduced network. As a result, the working basis can be represented via specialized data structures for networks. The resultant GUB based specializations to the network simplex algorithm are described. |
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| Keywords: | Network flow algorithms generalized upper bounding |
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