Obstacle-avoiding euclidean steiner trees in the plane: An exact algorithm

27Citations
Citations of this article
9Readers
Mendeley users who have this article in their library.
Get full text

Abstract

The first exact algorithm for the obstacle-avoiding Euclidean Steiner tree problem in the plane (in its most general form) is presented. The algorithm uses a two-phase framework — based on the generation and concatenation of full Steiner trees — previously shown to be very successful for the obstacle-free case. Computational results for moderate size problem instances are given; instances with up to 150 terminals have been solved to optimality within a few hours of CPU-time.

Cite

CITATION STYLE

APA

Zachariasen, M., & Winter, P. (1999). Obstacle-avoiding euclidean steiner trees in the plane: An exact algorithm. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 1619, pp. 282–295). Springer Verlag. https://doi.org/10.1007/3-540-48518-x_17

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free