A Heuristic Algorithm for Solving Triangle Packing Problem
The research on the triangle packing problem has important theoretic significance, which has broad application prospects in material processing, network resource optimization, and so forth. Generally speaking, the orientation of the triangle should be limited in advance, since the triangle packing p...
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| Published in | Discrete Dynamics in Nature and Society Vol. 2013; no. 2013; pp. 536 - 542-163 |
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| Main Authors | , , , , |
| Format | Journal Article |
| Language | English |
| Published |
Cairo, Egypt
Hindawi Limiteds
01.01.2013
Hindawi Puplishing Corporation Hindawi Publishing Corporation John Wiley & Sons, Inc Hindawi Limited |
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| Abstract | The research on the triangle packing problem has important theoretic significance, which has broad application prospects in material processing, network resource optimization, and so forth. Generally speaking, the orientation of the triangle should be limited in advance, since the triangle packing problem is NP-hard and has continuous properties. For example, the polygon is not allowed to rotate; then, the approximate solution can be obtained by optimization method. This paper studies the triangle packing problem by a new kind of method. Such concepts as angle region, corner-occupying action, corner-occupying strategy, and edge-conjoining strategy are presented in this paper. In addition, an edge-conjoining and corner-occupying algorithm is designed, which is to obtain an approximate solution. It is demonstrated that the proposed algorithm is highly efficient, and by the time complexity analysis and the analogue experiment result is found. |
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| AbstractList | The research on the triangle packing problem has important theoretic significance, which has broad application prospects in material processing, network resource optimization, and so forth. Generally speaking, the orientation of the triangle should be limited in advance, since the triangle packing problem is NP-hard and has continuous properties. For example, the polygon is not allowed to rotate; then, the approximate solution can be obtained by optimization method. This paper studies the triangle packing problem by a new kind of method. Such concepts as angle region, corner-occupying action, corner-occupying strategy, and edge-conjoining strategy are presented in this paper. In addition, an edge-conjoining and corner-occupying algorithm is designed, which is to obtain an approximate solution. It is demonstrated that the proposed algorithm is highly efficient, and by the time complexity analysis and the analogue experiment result is found. |
| Audience | Academic |
| Author | Shuai Liu Xiaozhuo Qi Yuqiang Luo Ruimin Wang Jianqiang Dong |
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| CitedBy_id | crossref_primary_10_1155_2014_308474 |
| Cites_doi | 10.1016/0377-2217(95)00021-H 10.1016/j.dam.2010.05.026 10.1016/j.ejor.2012.09.023 10.1016/j.cor.2010.04.008 10.1016/j.cor.2010.08.017 10.1016/j.ejor.2009.03.046 10.1016/j.cor.2010.04.013 |
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| Contributor | Luo, Yuqiang Dong, Jianqiang Qi, Xiaozhuo Liu, Shuai Wang, Ruiming |
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| Copyright | Copyright © 2013 Ruimin Wang et al. COPYRIGHT 2014 John Wiley & Sons, Inc. Copyright © 2013 Ruimin Wang et al. Ruimin Wang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. |
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| Title | A Heuristic Algorithm for Solving Triangle Packing Problem |
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