A local search heuristic for bounded-degree minimum spanning trees

Article

Zahrani, M., Loomes, M., Malcolm, J. and Albrecht, A. 2008. A local search heuristic for bounded-degree minimum spanning trees. Engineering Optimization. 40 (12), pp. 1115-1135. https://doi.org/10.1080/03052150802317440
TypeArticle
TitleA local search heuristic for bounded-degree minimum spanning trees
AuthorsZahrani, M., Loomes, M., Malcolm, J. and Albrecht, A.
Abstract

The bounded-degree minimum spanning tree (BDMST) problem has many practical applications. Unlike
the unbounded case, the BDMST problem is NP-hard, and many attempts have been made to devise good
approximation methods, including evolutionary algorithms. Inspired by recent applications to wireless
communications, the present article focuses on the geometric version of the problem, i.e. the weights
assigned to links (u, v) are equal to the Euclidean distance between u and v, but no grid geometry is
used as an underlying structure. The proposed genetic local search procedure for BDMST-approximations
utilizes a specific edge crossover operation, and the local search in-between applications of crossover
performs alternating sequences of descending and ascending steps for each individual of the population.
The length of a sequence with uniform direction is controlled by the estimated value of the maximum depth
of local minima of the associated fitness landscape. The computational experiments were executed on ten
synthetic networks, and a comparison to two recently published BDMST algorithms is presented.

Research GroupSensoLab group
PublisherTaylor and Francis
JournalEngineering Optimization
ISSN0305-215X
Publication dates
PrintDec 2008
Publication process dates
Deposited31 Mar 2010
Output statusPublished
Digital Object Identifier (DOI)https://doi.org/10.1080/03052150802317440
LanguageEnglish
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