A Memetic algorithm for the minimum weighted k-cardinality tree subgraph problem
In this paper we present a memetic algorithm for the minimum weighted k-cardinality tree subgraph problem. This problem consists in finding, in a given undirected weighted graph G=(V,E,W), a tree T of k edges having minimal total weight among all of k-trees that are subgraphs of G. This problem was...
| Autores: | , , |
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| Tipo de recurso: | informe técnico |
| Fecha de publicación: | 2001 |
| País: | España |
| Institución: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/97659 |
| Acceso en línea: | https://hdl.handle.net/2117/97659 |
| Access Level: | acceso abierto |
| Palabra clave: | Memetic algorithm Minimum weighted k-cardinality tree subgraph problem Àrees temàtiques de la UPC::Informàtica |
| Sumario: | In this paper we present a memetic algorithm for the minimum weighted k-cardinality tree subgraph problem. This problem consists in finding, in a given undirected weighted graph G=(V,E,W), a tree T of k edges having minimal total weight among all of k-trees that are subgraphs of G. This problem was first described by Hamacher, Jornsten, and Maffioli (1991) who also proved to be strongly NP-hard. Given this observation, researchers have focused on heuristic and metaheuristic algorithms to find suboptimal feasible solutions for the problem, as a good way to cope with most practical setting applications. To our knowledge, no memetic algorithm (MA) has yet been reported for this problem. It is known that some MAs have a good synergy with Tabu Search when they use it as individual steps for diversification and local optimization by the agents. As a consequence, one of our main motivations was to obtain a new implementation of an MA to the problem using an existing implementation of Tabu Search to the problem (Blesa and Xhafa, 2000). We are currently implementing the proposed algorithm. |
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