Ana Maria Rocha †
Edite M.G.P. Fernandes †
João Soares * ‡
† Departamento de Produção e Sistemas, Universidade do Minho
‡ Departamento de Matemática, Universidade de Coimbra
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Title: Application of the volume algorithm to the approximate and exact solving of the asymmetric traveling salesman problem.
Abstract
In this paper we present computational results with the volume algorithm, a variant of the subgradient method, when solving the linear relaxation that stems from the extended disaggregated flow formulation of the Asymmetric Travelling Salesman Problems. Computational experiments were performed on a selection of instances from the TSPLib and some randomly generated instances according to the Dimacs Implementation Challenge. We have also tried ATSP heuristics within the volume algorithm. Computational experiments show moderated success on medium-scale instances.
Keywords: Asymmetric travelling salesman problem, Disaggregated flow formulation, Lagrangian relaxation.
Resumo
]]> Neste artigo apresentamos resultados computacionais obtidos com o algoritmo volumétrico, uma variante do método do subgradiente, na resolução da relaxação linear que decorre da formulação estendida de fluxo desagregado para o problema do Caixeiro Viajante Assimétrico. As experiências computacionais foram realizadas numa selecção de instâncias da TSPLib e num conjunto de instâncias geradas aleatoriamente de acordo com o Dimacs Implementation Challenge. Também experimentámos a aplicação de heurísticas durante a execução do algoritmo volumétrico. As experiências computacionais mostram sucesso moderado com instâncias de média dimensão.Texto completo apenas disponível em PDF.
Full text only in PDF.
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]]> * João Soares acknowledges partial financial support from Fundação para a Ciência e Tecnologia (Projecto POCTI/MAT/14243/1998).
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