Article ID: | iaor20031159 |
Country: | United States |
Volume: | 39 |
Issue: | 1 |
Start Page Number: | 29 |
End Page Number: | 34 |
Publication Date: | Jan 2002 |
Journal: | Networks |
Authors: | Laporte Gilbert, Labb Martine, Feremans Corinne |
Keywords: | programming: network |
This article describes eight formulations for the Generalized Minimum Spanning Tree Problem (GMSTP). Relationships between the polytopes of their linear relaxations are established. It is shown that four of these polytopes are strictly included in the remaining ones. This analysis suggests which formulations should be preferred for the construction of a branch-and-cut algorithm and for the evaluation of heuristics.