Solving a semidefinite relaxation of the traveling salesman problem

Solving a semidefinite relaxation of the traveling salesman problem

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Article ID: iaor20061021
Country: Germany
Volume: 10
Issue: 4
Start Page Number: 277
End Page Number: 296
Publication Date: Dec 2002
Journal: Central European Journal of Operations Research
Authors: , ,
Keywords: programming: integer
Abstract:

This paper studies the behavior of the semidefinite programming method proposed by Helmberg, Rendl, Vanderbei and Wolkowicz on a special class of semidefinite programs obtained as relaxations of the symmetric traveling salesman problem (STSP). We propose modifications which reduce the computational time and improve numerical stability. Computational results for the STSP instances with dimensions up to 60 are reported.

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