Heurística aplicada ao problema árvore de Steiner Euclidiano com representação nó-profundidade-grau

• Autor(a) principal: Oliveira, Marcos Antônio Almeida de
• Data de Publicação: 2014
• Tipo de documento: Dissertação
• Idioma: por
• Título da fonte: Repositório Institucional da UFG
• Texto Completo: http://repositorio.bc.ufg.br/tede/handle/tede/4171
• topic: Árvore de Steiner Euclidiana; Representação nó-profundidade-grau; Heurística; Euclidean Steiner Tree Problem; Heuristic algorithm; Node-depth-degree encoding; CIENCIA DA COMPUTACAO::TEORIA DA COMPUTACAO

A variation of the Beasley (1992) algorithm for the Euclidean Steiner tree problem is presented. This variation uses the Node-Depth-Degree Encoding, which requires an average time of O(n) in operations to generate and manipulate spanning forests. For spanning tree problems, this representation has linear time complexity when applied to network design problems with evolutionary algorithms. Computational results are given for test cases involving instances up to 500 vertices. These results demonstrate the use of the Node-Depth-Degree in an exact heuristic, and this suggests the possibility of using this representation in other techniques besides evolutionary algorithms. An empirical comparative and complexity analysis between the proposed algorithm and a conventional representation indicates the efficiency advantages of the solution found.