Publication detail

Metaheuristics for the Graphical Steiner Tree Problem

ŠEDA, M. SMUTEK, D.

English title

Metaheuristics for the Graphical Steiner Tree Problem

Type

conference paper

Language

en

Original abstract

The graphical Steiner tree problem finds a shortest tree spanning a given vertex subset within a network. It is an NP-complete problem and therefore for large scaled instances, the optimal solution cannot be found in a reasonable amount of time, being usually solved by approximation or deterministic heuristic methods. This paper proposes an approach that uses two stochastic heuristic methods (genetic algorithms and simulated annealing) applied to a binary string representation of Steiner vertices candidates. These methods are tested on standard benchmarks from OR-Library and suitable parameter settings are recommended to achieve good solutions

English abstract

The graphical Steiner tree problem finds a shortest tree spanning a given vertex subset within a network. It is an NP-complete problem and therefore for large scaled instances, the optimal solution cannot be found in a reasonable amount of time, being usually solved by approximation or deterministic heuristic methods. This paper proposes an approach that uses two stochastic heuristic methods (genetic algorithms and simulated annealing) applied to a binary string representation of Steiner vertices candidates. These methods are tested on standard benchmarks from OR-Library and suitable parameter settings are recommended to achieve good solutions

Keywords in English

Minimum spanning tree, Steiner tree problem, metaheuristic, genetic algorithm, simulated annealing

RIV year

2001

Released

01.10.2001

Publisher

Jena University of Applied Sciences

Location

Jena

ISBN

3-901509-19-4

Book

Proceedings of the 12th International DAAAM Symposium

Pages count

2

BIBTEX


@inproceedings{BUT6618,
  author="Miloš {Šeda} and Daniel {Smutek},
  title="Metaheuristics for the Graphical Steiner Tree Problem",
  booktitle="Proceedings of the 12th International DAAAM Symposium",
  year="2001",
  month="October",
  publisher="Jena University of Applied Sciences",
  address="Jena",
  isbn="3-901509-19-4"
}