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Technical Note—Rounding Symmetric Traveling Salesman Problems with an Asymmetric Assignment Problem

R. Jonker, G. De Leve, J. A. Van Der Velde and A. Volgenant
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R. Jonker: Universiteit van Amsterdam, The Netherlands
G. De Leve: Universiteit van Amsterdam, The Netherlands
J. A. Van Der Velde: Universiteit van Amsterdam, The Netherlands
A. Volgenant: Universiteit van Amsterdam, The Netherlands

Operations Research, 1980, vol. 28, issue 3-part-i, 623-627

Abstract: For the distance matrix of symmetric traveling salesman problems a simple transformation into an equivalent asymmetric one is given. Assignment algorithms yield sharper lowerbounds and less subtours from the transformed distance matrix. This implies a better performance for traveling salesman algorithms based on the assignment relaxation.

Date: 1980
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