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Multiobjective vehicle routing problem with fixed delivery and optional collections

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Abstract

We present an adaption on the formulation for the vehicle routing problem with fixed delivery and optional collections, in which the simultaneous minimization of route costs and of collection demands not fulfilled is considered. We also propose a multiobjective version of the iterated local search (MOILS). The performance of the MOILS is compared with the \(\epsilon \)-constrained (\(P_{\epsilon }\)) ILS, the NSGA-II and the indicator-based multi-objective local search methods in the solution of 14 problem instances containing between 50 and 199 customers plus the depot. The results indicate that the MOILS outperformed the other approaches, obtaining significantly better average values for coverage, hypervolume and cardinality.

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Notes

  1. The algorithm implementations, problem instances, and statistical routines used in the analysis of this experiment are available online at the address http://www.cpdee.ufmg.br/~fcampelo/files/OPTL2012a./.

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Acknowledgments

This work was supported by the following agencies: National Council for Research and Development (CNPq), grants 306910/2006-3 and 472446/2010-0; the Coordination for the Improvement of Higher Education Personnel (CAPES); and the Research Foundation of the State of Minas Gerais (FAPEMIG, Brazil), grants Pronex: TEC 01075/09 and Pronem: CEX APQ-04611-10.

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Authors and Affiliations

  1. Departamento de Computação, Universidade Federal dos Vales do Jequitinhonha e Mucuri, Rod. MGT 367, Km 583, 5000-Alto da Jacuba, 39100-000 , Diamantina, MG, Brazil

    Luciana P. Assis & Alessandro Vivas

  2. Departamento de Engenharia Elétrica, Universidade Federal de Minas Gerais, Av. Antônio Carlos 6627, 31270-901 , Belo Horizonte, MG, Brazil

    André L. Maravilha, Felipe Campelo & Jaime A. Ramírez

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  1. Luciana P. Assis
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  2. André L. Maravilha
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  3. Alessandro Vivas
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  4. Felipe Campelo
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  5. Jaime A. Ramírez
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Correspondence to Jaime A. Ramírez.

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Assis, L.P., Maravilha, A.L., Vivas, A. et al. Multiobjective vehicle routing problem with fixed delivery and optional collections. Optim Lett 7, 1419–1431 (2013). https://doi.org/10.1007/s11590-012-0551-z

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