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Paper Abstract and Keywords
Presentation 2024-05-09 15:30
An Euclidean Steiner Tree Problem Solver based on Genetic Algorithm and Delaunay Triangulation
Liping Zhang, Tsuyoshi Migita, Norikazu Takahashi (Okayama Univ.) NLP2024-6
Abstract (in Japanese) (See Japanese page) 
(in English) In this report, we propose an approach based on the genetic algorithm and the Delaunay triangulation for solving the Euclidean Steiner tree problem. This approach first performs the Delaunay triangulation for all the given terminal points. It then generates non-terminal points at the centroid of each triangle obtained and on a circle which takes the centroid as the center. It next finds a tree that connects all terminal points and some of the non-terminal points, and has a short total length of edges, utilizing a genetic algorithm-based method developed by the authors. It finally optimizes the location of the non-terminal points in the tree using Weiszfeld's method. We evaluate the performance of the proposed approach through experiments using some benchmark problems.
Keyword (in Japanese) (See Japanese page) 
(in English) Steiner tree problem / Euclidean plane / genetic algorithm / Delaunay triangulation / / / /  
Reference Info. IEICE Tech. Rep., vol. 124, no. 13, NLP2024-6, pp. 25-30, May 2024.
Paper # NLP2024-6 
Date of Issue 2024-05-02 (NLP) 
ISSN Online edition: ISSN 2432-6380
Copyright
and
reproduction		 All rights are reserved and no part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writing from the publisher. Notwithstanding, instructors are permitted to photocopy isolated articles for noncommercial classroom use without fee. (License No.: 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034)
Download PDF NLP2024-6

Conference Information
Committee NLP  
Conference Date 2024-05-09 - 2024-05-10 
Place (in Japanese) (See Japanese page) 
Place (in English) Kagawa Prefecture Social Welfare Center 
Topics (in Japanese) (See Japanese page) 
Topics (in English) Nonlinear Problems, etc. 
Paper Information
Registration To NLP 
Conference Code 2024-05-NLP 
Language English (Japanese title is available) 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) An Euclidean Steiner Tree Problem Solver based on Genetic Algorithm and Delaunay Triangulation 
Sub Title (in English)  
Keyword(1) Steiner tree problem  
Keyword(2) Euclidean plane  
Keyword(3) genetic algorithm  
Keyword(4) Delaunay triangulation  
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1st Author's Name Liping Zhang  
1st Author's Affiliation Okayama University (Okayama Univ.)
2nd Author's Name Tsuyoshi Migita  
2nd Author's Affiliation Okayama University (Okayama Univ.)
3rd Author's Name Norikazu Takahashi  
3rd Author's Affiliation Okayama University (Okayama Univ.)
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Speaker Author-1 
Date Time 2024-05-09 15:30:00 
Presentation Time 25 minutes 
Registration for NLP 
Paper # NLP2024-6 
Volume (vol) vol.124 
Number (no) no.13 
Page pp.25-30 
#Pages 6 
Date of Issue 2024-05-02 (NLP) 

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