On the symmetric travelling salesman problem: Solution of a 120-city problem

作者: Martin Grötschel

DOI: 10.1007/BFB0120887

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摘要: The polytope associated with the symmetric travelling salesman problem has been intensively studied recently (cf. [7, 10, 11]). In this note we demonstrate how knowledge of facets can be utilized to solve large-scale problems. particular, report shortest roundtrip through 120 German cities was found using a commercial linear programming code and adding facetial cutting planes in an interactive way.

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