A matheuristic for the MinMax capacitated open vehicle routing problem

In this paper, the MinMax-COVRP (where COVRP is capacitated open vehicle routing problem) is considered as a variation of the COVRP where the objective is to minimize the duration of the longest route. For the purpose of producing high-quality solutions, elements from the fields of mathematical prog...

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Detalles Bibliográficos
Autores: Lysgaard, Jens, López Sánchez, Ana Dolores, Hernández-Díaz, Alfredo G.
Tipo de recurso: artículo
Fecha de publicación:2018
País:España
Institución:Universidad Pablo de Olavide (UPO)
Repositorio:RIO. Repositorio Institucional Olavide
Idioma:inglés
OAI Identifier:oai:rio.upo.es:10433/22474
Acceso en línea:https://hdl.handle.net/10433/22474
Access Level:acceso abierto
Palabra clave:Vehicle routing problem
Matheuristic
COVRP
MinMax objective
Descripción
Sumario:In this paper, the MinMax-COVRP (where COVRP is capacitated open vehicle routing problem) is considered as a variation of the COVRP where the objective is to minimize the duration of the longest route. For the purpose of producing high-quality solutions, elements from the fields of mathematical programming and metaheuristics are combined, resulting in a matheuristic for solving the MinMax-COVRP. The matheuristic benefits from the diversification produced by a metaheuristic and the intensification from mixed-integer linear programming (MILP). The initial solution provided by a multistart heuristic is used to seed and accelerate the MILP in which a local branching framework and the separation of k-path inequalities are suitably combined. Computational experience shows promising results not only improving the initial solution provided by the multistart algorithm, but also ensuring optimality for most of the small- and medium-sized instances.