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Solving Euclidean Steiner Tree Problems with Multi Swarm Optimization

Authors: Decroos, Tom; De Causmaecker, Patrick; Demoen, Bart;

Solving Euclidean Steiner Tree Problems with Multi Swarm Optimization

Abstract

A new iterative heuristic algorithm, based on Multi Swarm Optimization, is presented for Steiner Tree Problems (STP) in the 2-dimensional Euclidean plane. The basic algorithm is made practical for large instances by applying a result from graph theory, and a well-informed approximation. The algorithm's performance is compared to perfect solutions for the classic Steiner Tree Problem and to a deterministic heuristic for the k-bottleneck STP, a variant of STP. The algorithm often produces near optimal solutions with limited resources. The approach can be applied to higher dimensions and to other variants of the Steiner Tree Problem.

Country
Belgium
Related Organizations
Keywords

Heuristic Methods, Control Methods, iMinds, ITEC, Artifical Intelligence, Search, Problem Solving

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
Green