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https://ri.ufs.br/jspui/handle/riufs/1708
Tipo de Documento: | Artigo |
Título: | The minimum stabbing triangulation problem: IP models and computational evaluation |
Autor(es): | Piva, Breno Souza, Cid Carvalho de |
Data do documento: | 2012 |
Abstract: | The minimum stabbing triangulation of a set of points in the plane (mstr) was previously investigated in the literature. The complexity of the mstr remains open and, to our knowledge, no exact algorithm was proposed and no computational results were reported earlier in the literature of the problem. This paper presents integer programming (ip) formulations for the mstr, that allow us to solve it exactly through ip branch-and-bound (b&b) algorithms. Moreover, one of these models is the basis for the development of a sophisticated Lagrangian heuristic for the problem. Computational tests were conducted with two instance classes comparing the performance of the latter algorithm against that of a standard (exact) b&b. The results reveal that the Lagrangian algorithm yielded solutions with minute, and often null, duality gaps for instances with several hundreds of points in small computation times. |
Palavras-chave: | Minimum stabbing triangulation Algoritmos Integer programming Programação linear inteira |
ISSN: | 0302-9743 |
Instituição/Editora: | Springer Berlin Heidelberg |
Citação: | PIVA, B.; SOUZA, C. C. The minimum stabbing triangulation problem: IP models and computational evaluation. Lecture Notes in Computer Science, v. 7422, 2012. Disponível em: <http://dx.doi.org/10.1007/978-3-642-32147-4_5>. Acesso em: 16 mar. 2016. |
Licença: | © Springer International Publishing AG - Artigo publicado originalmente em: http://dx.doi.org/10.1007/978-3-642-32147-4_5 |
URI: | https://ri.ufs.br/handle/riufs/1708 |
Aparece nas coleções: | DCOMP - Artigos de periódicos |
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MinimumStabbingTriangulation.pdf | 158,5 kB | Adobe PDF | ![]() Visualizar/Abrir |
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