The GeoSteiner software package for computing Steiner trees in the plane: an updated computational study

Daniel Juhl; David M. Warme; Pawel Winter; Martin Zachariasen

The GeoSteiner software package for computing Steiner trees in the plane: an updated computational study

Daniel Juhl, David M. Warme, Pawel Winter, Martin Zachariasen

Department of Computer Science

Abstract

The GeoSteiner software package has for more than 10 years been the fastest (publicly available) program for computing exact solutions to Steiner tree problems in the plane. The computational study by Warme, Winter and Zachariasen, published in 2000, documented the performance of the GeoSteiner approach --- allowing the exact solution of Steiner tree problems with more than a thousand terminals. Since then, a number of algorithmic enhancements have improved the performance of the software package significantly. In this computational study we run the current code on the largest problem instances from the 2000-study, and on a number of larger problem instances. The computational study is performed using both the publicly available GeoSteiner 3.1 code base, and the commercial GeoSteiner 4.0 code base.

Original language	English
Publication date	2014
Number of pages	30
Publication status	Published - 2014
Event	11th DIMACS Implementation Challenge - ICERM, Providence, United States Duration: 4 Dec 2014 → 5 Dec 2014 Conference number: 11

Conference

Conference	11th DIMACS Implementation Challenge
Number	11
Location	ICERM
Country/Territory	United States
City	Providence
Period	04/12/2014 → 05/12/2014

Keywords

Faculty of Science
Euclidean Steiner tree problem
rectilinear Steiner tree problem
fixed orientation Steiner tree problem
exact algorithm
computational study

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The GeoSteiner Software Package for Computing Steiner Trees in the Plane: An Updated Computational StudyAccepted author manuscript, 516 KB

http://dimacs11.zib.de/workshop/JuhlWarmeWinterZachariasen.pdf

Cite this

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title = "The GeoSteiner software package for computing Steiner trees in the plane: an updated computational study",

abstract = "The GeoSteiner software package has for more than 10 years been the fastest (publicly available) program for computing exact solutions to Steiner tree problems in the plane. The computational study by Warme, Winter and Zachariasen, published in 2000, documented the performance of the GeoSteiner approach --- allowing the exact solution of Steiner tree problems with more than a thousand terminals. Since then, a number of algorithmic enhancements have improved the performance of the software package significantly. In this computational study we run the current code on the largest problem instances from the 2000-study, and on a number of larger problem instances. The computational study is performed using both the publicly available GeoSteiner 3.1 code base, and the commercial GeoSteiner 4.0 code base. ",

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AU - Winter, Pawel

AU - Zachariasen, Martin

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N2 - The GeoSteiner software package has for more than 10 years been the fastest (publicly available) program for computing exact solutions to Steiner tree problems in the plane. The computational study by Warme, Winter and Zachariasen, published in 2000, documented the performance of the GeoSteiner approach --- allowing the exact solution of Steiner tree problems with more than a thousand terminals. Since then, a number of algorithmic enhancements have improved the performance of the software package significantly. In this computational study we run the current code on the largest problem instances from the 2000-study, and on a number of larger problem instances. The computational study is performed using both the publicly available GeoSteiner 3.1 code base, and the commercial GeoSteiner 4.0 code base.

AB - The GeoSteiner software package has for more than 10 years been the fastest (publicly available) program for computing exact solutions to Steiner tree problems in the plane. The computational study by Warme, Winter and Zachariasen, published in 2000, documented the performance of the GeoSteiner approach --- allowing the exact solution of Steiner tree problems with more than a thousand terminals. Since then, a number of algorithmic enhancements have improved the performance of the software package significantly. In this computational study we run the current code on the largest problem instances from the 2000-study, and on a number of larger problem instances. The computational study is performed using both the publicly available GeoSteiner 3.1 code base, and the commercial GeoSteiner 4.0 code base.

KW - Faculty of Science

KW - Euclidean Steiner tree problem

KW - rectilinear Steiner tree problem

KW - fixed orientation Steiner tree problem

KW - exact algorithm

KW - computational study

M3 - Paper

Y2 - 4 December 2014 through 5 December 2014

ER -

The GeoSteiner software package for computing Steiner trees in the plane: an updated computational study

Abstract

Conference

Keywords

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