Authors: Consoli, Sergio
Darby-Dowman, Kenneth
Mladenović, Nenad 
Moreno-Pérez, José A.
Title: Variable neighbourhood search for the minimum labelling Steiner tree problem
Journal: Annals of Operations Research
Volume: 172
Issue: 1
First page: 71
Last page: 96
Issue Date: 1-Jan-2009
Rank: M22
ISSN: 0254-5330
DOI: 10.1007/s10479-008-0507-y
We present a study on heuristic solution approaches to the minimum labelling Steiner tree problem, an NP-hard graph problem related to the minimum labelling spanning tree problem. Given an undirected labelled connected graph, the aim is to find a spanning tree covering a given subset of nodes of the graph, whose edges have the smallest number of distinct labels. Such a model may be used to represent many real world problems in telecommunications and multimodal transportation networks. Several metaheuristics are proposed and evaluated. The approaches are compared to the widely adopted Pilot Method and it is shown that the Variable Neighbourhood Search that we propose is the most effective metaheuristic for the problem, obtaining high quality solutions in short computational running times.
Keywords: Combinatorial optimization | Graphs | Metaheuristics | Minimum labelling Steiner tree problem | Variable neighbourhood search
Publisher: Springer Link
Project: E.U. Marie Curie Fellowship for Early Stage Researcher Training, Grant no. MEST-CT-2004-006724
Spanish Government. Grant no. TIN2005-08404-C04-03
Canary Government, Grant no. PI042005/044

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