New tighter polynomial length formulations for the asymmetric traveling salesman problem with and without precedence constraints

New tighter polynomial length formulations for the asymmetric traveling salesman problem with and without precedence constraints

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Article ID: iaor2005761
Country: Netherlands
Volume: 33
Issue: 1
Start Page Number: 62
End Page Number: 70
Publication Date: Jan 2005
Journal: Operations Research Letters
Authors: , ,
Abstract:

We propose a new formulation for the asymmetric traveling salesman problem, with and without precedence relationships, which employs a polynomial number of subtour elimination constraints that imply an exponential subset of relaxed Dantzig–Fulkerson–Johnson subtour constraints. Promising computational results are presented, particularly in the presence of precedence constraints.

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