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» On Random Symmetric Travelling Salesman Problems
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DISOPT
2006
110views more  DISOPT 2006»
13 years 6 months ago
New facets of the STS polytope generated from known facets of the ATS polytope
While it was known for a long time how to transform an asymmetric traveling salesman problem on the complete graph with n vertices into a symmetric traveling salesman problem on a...
Egon Balas, Robert Carr, Matteo Fischetti, Neil Si...
EOR
2006
118views more  EOR 2006»
13 years 6 months ago
A random-key genetic algorithm for the generalized traveling salesman problem
The Generalized Traveling Salesman Problem is a variation of the well known Traveling Salesman Problem in which the set of nodes is divided into clusters; the objective is to find...
Lawrence V. Snyder, Mark S. Daskin
MOR
2010
111views more  MOR 2010»
13 years 5 months ago
Generalized Domino-Parity Inequalities for the Symmetric Traveling Salesman Problem
We extend the work of Letchford (2000) by introducing a new class of valid inequalities for the traveling salesman problem, called the generalized domino-parity (GDP) constraints....
William J. Cook, Daniel G. Espinoza, Marcos Goycoo...
DISOPT
2008
93views more  DISOPT 2008»
13 years 6 months ago
Exploiting planarity in separation routines for the symmetric traveling salesman problem
At present, the most successful approach to solving large-scale instances of the Symmetric Traveling Salesman Problem to optimality is branch-and-cut. The success of branch-and-cu...
Adam N. Letchford, Nicholas A. Pearson