Please use this identifier to cite or link to this item: http://bura.brunel.ac.uk/handle/2438/1336
Title: Solving the minimum labelling spanning tree problem using hybrid local search
Authors: Consoli, S
Darby-Dowman, K
Mladenović, N
Moreno-Perez, J A
Keywords: Combinatorial optimization;Graphs and Networks;Local search;Minimum labelling spanning trees
Issue Date: 2007
Series/Report no.: TR/02/07
Abstract: Given a connected, undirected graph whose edges are labelled (or coloured), the minimum labelling spanning tree (MLST) problem seeks a spanning tree whose edges have the smallest number of distinct labels (or colours). In recent work, the MLST problem has been shown to be NP-hard and some effective heuristics (Modified Genetic Algorithm (MGA) and Pilot Method (PILOT)) have been proposed and analyzed. A hybrid local search method, that we call Group-Swap Variable Neighbourhood Search (GS-VNS), is proposed in this paper. It is obtained by combining two classic metaheuristics: Variable Neighbourhood Search (VNS) and Simulated Annealing (SA). Computational experiments show that GS-VNS outperforms MGA and PILOT. Furthermore, a comparison with the results provided by an exact approach shows that we may quickly obtain optimal or near-optimal solutions with the proposed heuristic.
URI: http://bura.brunel.ac.uk/handle/2438/1336
Appears in Collections:Mathematical Science
Publications
Dept of Mathematics Research Papers

Files in This Item:
File Description SizeFormat 
GS-VNS.pdf354.36 kBAdobe PDFView/Open


Items in BURA are protected by copyright, with all rights reserved, unless otherwise indicated.