Abstract:The Lin and Kernighan's algorithm (LK) for the single objective Traveling Salesman Problem (TSP) is one of the most efficient heuristics for the symmetric case. Although many algorithms for the TSP were extended to the multi-objective version of the problem (MTSP), the LK was still not fully explored. Works that applied the LK for the MTSP were driven to weighted sum versions of the problem. We investigate the LK from a Pareto dominance perspective. The multi-objective LK was implemented within two local search schemes and applied to 2 to 4-objective instances. The results showed that the proposed algorithmic variants obtained better results than a state-of-the-art algorithm. Keywords: multi-objective traveling salesman -multi-objective lin and kernighan -local search Resumo: O algoritmo de Lin e Kernighan (LK) para o Problema do Caixeiro Viajante mono-objetivo (PCV)é uma das heurísticas mais eficientes para o caso simétrico. Embora muitos algoritmos para o PCV tenham sido estendidos para a versão multiobjetivo do problema (PCVM), o LK ainda não foi plenamente explorado. Trabalhos que aplicaram o LK ao PCVM foram direcionados a versões do problema de somas ponderadas. Nós investigamos o LK sob a perspectiva da dominância de Pareto. O LK multiobjetivo foi implementado em dois esquemas de busca local e aplicado a instâncias de 2 a 4 objetivos. Os resultados mostraram que as variantes algorítmicas propostas obtiveram melhores resultados que um algoritmo do estado-da-arte. Palavras-Chave: caixeiro viajante multiobjetivo -lin e kernighan multiobjetivo -busca local
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