The network synthesis problem in a cycle

The network synthesis problem in a cycle

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Article ID: iaor1997283
Country: Netherlands
Volume: 17
Issue: 5
Start Page Number: 231
End Page Number: 236
Publication Date: Jun 1995
Journal: Operations Research Letters
Authors:
Abstract:

The network synthesis problem is to design an undirected network with a minimum total construction cost which non-simultaneously satisfies given flow requirements between pairs of nodes. This well-known problem was introduced by Gomory and hu who formulated it as a very large linear program and solved it by a method similar to column generation. The paper provides an efficient algorithm for this problem when the underlying graph is a cycle.

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