Traveling Salesman Problem solved by clustering and genetic algorithms

This article seeks to find feasible solutions for the Traveling Salesman Problem, by means of a new way of grouping the problem into clusters with the intention of creating Traveling Salesman subproblems, which are proposed to be solved by the metaheuristic genetic algorithm. Subsequently, the group...

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Detalles Bibliográficos
Autor: Anaya-Fuentes, Gustavo Erick
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2021
País:México
Institución:UNIVERSIDAD AUTÓNOMA DEL ESTADO DE HIDALGO
Repositorio:PÄDI Boletín Científico de Ciencias Básicas e Ingeniería del ICBI
Idioma:español
OAI Identifier:oai:repository.uaeh.edu.mx:article/7130
Acceso en línea:https://repository.uaeh.edu.mx/revistas/index.php/icbi/article/view/7130
Access Level:acceso abierto
Palabra clave:Traveling Salesman
genetic algorithms
clusters
fitness
metaheuristics
Agente viajero
algoritmos genéticos
agrupación
recorrido total
metaheurísticos
Descripción
Sumario:This article seeks to find feasible solutions for the Traveling Salesman Problem, by means of a new way of grouping the problem into clusters with the intention of creating Traveling Salesman subproblems, which are proposed to be solved by the metaheuristic genetic algorithm. Subsequently, the groupings are joined again using the solutions provided by the metaheuristic, obtaining a final solution. In addition, a way of grouping the cities of the problem is proposed using the arithmetic mean of the coordinates to iteratively calculate the representative nodes of each family. In the literature there is no similar method to solve the problem in question. The results show that using this grouping methodology improves the results compared to the genetic algorithms solutions without using clusters.