Um algoritmo branch-and-bound para o problema do caixeiro viajante suficientemente próximo

This research deals with the Close-Enough Traveling Salesman Problem, a variant of the Traveling Salesman Problem wich has several applicatios in logistics. In the Close-Enough Traveling Salesman Problem, rather than visiting the vertex (customer) itself, the salesman must visit a specific region co...

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Detalles Bibliográficos
Autor: Coutinho, Walton Pereira
Tipo de recurso: tesis de maestría
Estado:Versión publicada
Fecha de publicación:2014
País:Brasil
Institución:Universidade Federal da Paraíba (UFPB)
Repositorio:Biblioteca Digital de Teses e Dissertações da UFPB
Idioma:portugués
OAI Identifier:oai:repositorio.ufpb.br:tede/5268
Acceso en línea:https://repositorio.ufpb.br/jspui/handle/tede/5268
Access Level:acceso abierto
Palabra clave:Problema do caixeiro viajante suficientemente próximo
Branch-and-bound
Programação cônica de segunda ordem
Logística
Close-enough traveling salesman problem
Second order cone programming
Logistics
ENGENHARIAS::ENGENHARIA DE PRODUCAO
Descripción
Sumario:This research deals with the Close-Enough Traveling Salesman Problem, a variant of the Traveling Salesman Problem wich has several applicatios in logistics. In the Close-Enough Traveling Salesman Problem, rather than visiting the vertex (customer) itself, the salesman must visit a specific region containing such vertex. To solve this problem, we propose a simple yet effective exact algorithm, based on Branch-and-Bound and Second Order Cone Programming. The proposed algorithm was tested in 824 instances suggested in the literature. Optimal solutions are obtained for open problems with up to a thousand vertices. We consider both instances in the two- and three-dimensional space.