A Comparative Analysis of Several Forumulations for the Generalized Minimum Spanning Tree Problem

C. Feremans, M. Labbé, G. Laporte

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24 Citations (Scopus)

Abstract

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.
Original languageEnglish
Pages (from-to)29-34
JournalNetworks
Volume39
Issue number1
DOIs
Publication statusPublished - 1 Jan 2002

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