Introducing radiality constraints in capacitated location-routing problems

In this paper, we introduce a unified mathematical formulation for the Capacitated Vehicle Routing Problem (CVRP) and for the Capacitated Location Routing Problem (CLRP), adopting radiality constraints in order to guarantee valid routes and eliminate subtours. This idea is inspired by formulations a...

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Detalles Bibliográficos
Autores: Eliana Mirledy Toro Ocampo, Frederico Gadelha Guimarães, Ramón Alfonso Gallego Rendón
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2017
País:Brasil
Institución:Universidade Federal de Minas Gerais (UFMG)
Repositorio:Repositório Institucional da UFMG
Idioma:inglés
OAI Identifier:oai:repositorio.ufmg.br:1843/80149
Acceso en línea:https://doi.org/10.5267/j.ijiec.2017.3.004
http://hdl.handle.net/1843/80149
https://orcid.org/0000-0002-6333-0977
https://orcid.org/0000-0002-1000-2339
https://orcid.org/0000-0002-0160-8929
Access Level:acceso abierto
Palabra clave:Capacitated vehicle routing problem
Capacitated location-routing problem
Combinatorial optimization
Radiality constraints
Spanning tree
Vehicle routing problem
Engenharia elétrica
Veículos
Veículos elétricos
Engenharia de computação
Descripción
Sumario:In this paper, we introduce a unified mathematical formulation for the Capacitated Vehicle Routing Problem (CVRP) and for the Capacitated Location Routing Problem (CLRP), adopting radiality constraints in order to guarantee valid routes and eliminate subtours. This idea is inspired by formulations already employed in electric power distribution networks, which requires a radial topology in its operation. The results show that the proposed formulation greatly improves the convergence of the solver.