Geometry-Experiment Algorithm for Steiner Minimal Tree Problem
Joint Authors
Hao, Jie-Yu
Jia, Xiao-Yao
Gao, Yan-Ping
Yang, Zong-Xiao
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-04-03
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
It is well known that the Steiner minimal tree problem is one of the classical nonlinear combinatorial optimization problems.
A visualization experiment approach succeeds in generating Steiner points automatically and showing the system shortest path, named Steiner minimum tree, physically and intuitively.
However, it is difficult to form stabilized system shortest path when the number of given points is increased and irregularly distributed.
Two algorithms, geometry algorithm and geometry-experiment algorithm (GEA), are constructed to solve system shortest path using the property of Delaunay diagram and basic philosophy of Geo-Steiner algorithm and matching up with the visualization experiment approach (VEA) when the given points increase.
The approximate optimizing results are received by GEA and VEA for two examples.
The validity of GEA was proved by solving practical problems in engineering, experiment, and comparative analysis.
And the global shortest path can be obtained by GEA successfully with several actual calculations.
American Psychological Association (APA)
Yang, Zong-Xiao& Jia, Xiao-Yao& Hao, Jie-Yu& Gao, Yan-Ping. 2013. Geometry-Experiment Algorithm for Steiner Minimal Tree Problem. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-466317
Modern Language Association (MLA)
Yang, Zong-Xiao…[et al.]. Geometry-Experiment Algorithm for Steiner Minimal Tree Problem. Journal of Applied Mathematics No. 2013 (2013), pp.1-10.
https://search.emarefa.net/detail/BIM-466317
American Medical Association (AMA)
Yang, Zong-Xiao& Jia, Xiao-Yao& Hao, Jie-Yu& Gao, Yan-Ping. Geometry-Experiment Algorithm for Steiner Minimal Tree Problem. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-466317
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-466317