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A New Branch-and-Cut Algorithm for the Generalized Directed Rural Postman Problem

Author

Listed:
  • Thais Ávila

    (Departamento d’Estadística i Investigació Operativa, Universitat de València, 46100 Valencia, Spain)

  • Ángel Corberán

    (Departamento d’Estadística i Investigació Operativa, Universitat de València, 46100 Valencia, Spain)

  • Isaac Plana

    (Departamento de Matemáticas para la Economía y la Empresa, Universitat de València, 46010 Valencia, Spain)

  • José M. Sanchis

    (Departamento de Matemática Aplicada, Universidad Politécnica de València, 46022 Valencia, Spain)

Abstract

The generalized directed rural postman problem, also known as the close-enough arc routing problem, is an arc routing problem with some interesting real-life applications, such as routing for meter reading. In this article we introduce two new formulations for this problem as well as various families of new valid inequalities that are used to design and implement a branch-and-cut algorithm. The computational results obtained on test bed instances from the literature show that this algorithm outperforms the existing exact methods.

Suggested Citation

  • Thais Ávila & Ángel Corberán & Isaac Plana & José M. Sanchis, 2016. "A New Branch-and-Cut Algorithm for the Generalized Directed Rural Postman Problem," Transportation Science, INFORMS, vol. 50(2), pages 750-761, May.
    • Handle: RePEc:inm:ortrsc:v:50:y:2016:i:2:p:750-761
    DOI: 10.1287/trsc.2015.0588
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    References listed on IDEAS

    as
    1. Angel Corberán & Gustavo Mejía & José M. Sanchis, 2005. "New Results on the Mixed General Routing Problem," Operations Research, INFORMS, vol. 53(2), pages 363-376, April.
    2. Michael Drexl, 2014. "On the generalized directed rural postman problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 65(8), pages 1143-1154, August.
    3. Corberan, A. & Sanchis, J. M., 1994. "A polyhedral approach to the rural postman problem," European Journal of Operational Research, Elsevier, vol. 79(1), pages 95-114, November.
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    Cited by:

    1. Bianchessi, Nicola & Corberán, Ángel & Plana, Isaac & Reula, Miguel & Sanchis, José M., 2022. "The min-max close-enough arc routing problem," European Journal of Operational Research, Elsevier, vol. 300(3), pages 837-851.
    2. Glock, Katharina & Meyer, Anne, 2023. "Spatial coverage in routing and path planning problems," European Journal of Operational Research, Elsevier, vol. 305(1), pages 1-20.
    3. Ángel Corberán & Isaac Plana & Miguel Reula & José M. Sanchis, 2019. "A matheuristic for the Distance-Constrained Close-Enough Arc Routing Problem," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 27(2), pages 312-326, July.
    4. Corberán, Ángel & Plana, Isaac & Reula, Miguel & Sanchis, José M., 2021. "On the Distance-Constrained Close Enough Arc Routing Problem," European Journal of Operational Research, Elsevier, vol. 291(1), pages 32-51.
    5. Veenstra, Marjolein & Roodbergen, Kees Jan & Coelho, Leandro C. & Zhu, Stuart X., 2018. "A simultaneous facility location and vehicle routing problem arising in health care logistics in the Netherlands," European Journal of Operational Research, Elsevier, vol. 268(2), pages 703-715.

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