Exploiting planarity in separation routines for the symmetric travelling salesman problem

Letchford, A N and Pearson, N (2008) Exploiting planarity in separation routines for the symmetric travelling salesman problem. Discrete Optimization, 5 (2). pp. 220-230. ISSN 1572-5286

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Abstract

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-cut is due in large part to the availability of effective separation procedures; that is, routines for identifying violated linear constraints. For two particular classes of constraints, known as comb and domino-parity constraints, it has been shown that separation becomes easier when the underlying graph is planar. We continue this line of research by showing how to exploit planarity in the separation of three other classes of constraints: subtour elimination, 2-matching and simple domino-parity constraints.

Item Type:
Journal Article
Journal or Publication Title:
Discrete Optimization
Uncontrolled Keywords:
/dk/atira/pure/subjectarea/aacsb/disciplinebasedresearch
Subjects:
ID Code:
44643
Deposited By:
Deposited On:
11 Jul 2011 18:19
Refereed?:
Yes
Published?:
Published
Last Modified:
20 Oct 2020 01:36