Semidefinite relaxations of the traveling salesman problem

Semidefinite relaxations of the traveling salesman problem

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Article ID: iaor20002461
Country: Serbia
Volume: 9
Issue: 2
Start Page Number: 157
End Page Number: 168
Publication Date: Jul 1999
Journal: Yugoslav Journal of Operations Research
Authors: , ,
Keywords: networks: path
Abstract:

We apply semidefinite programming to the symmetric traveling salesman problem. The TSP is modeled as a problem of discrete semidefinite programming. In order to estimate the optimal objective value, a class of semidefinite relaxations of the TSP model is defined. Experimental results with randomly generated examples show that the proposed relaxation gives considerably better bounds than 2-matching and 1-tree relaxations.

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