Article ID: | iaor20003802 |
Country: | Netherlands |
Volume: | 119 |
Issue: | 2 |
Start Page Number: | 314 |
End Page Number: | 325 |
Publication Date: | Dec 1999 |
Journal: | European Journal of Operational Research |
Authors: | Lysgaard Jens |
This paper presents a new branching scheme for the asymmetric traveling salesman problem (ATSP) based on clusters. A cluster is defined as a node set with the characteristic that there exists an optimal solution in which the nodes in the node set are visited consecutively. The paper considers identification of clusters, implementation of a cluster based branching scheme, and cluster based dominance tests. The new approach is implemented in a branch and bound algorithm using a well-known additive bounding procedure. Considerable savings in computing time are obtained compared to previously published assignment based branch and bound algorithms for the ATSP.