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A matheuristic for the Distance-Constrained Close-Enough Arc Routing Problem

Author

Listed:
  • Ángel Corberán

    (Universitat de València)

  • Isaac Plana

    (Universitat de València)

  • Miguel Reula

    (Universitat de València)

  • José M. Sanchis

    (Universidad Politécnica de Valencia)

Abstract

The Close-Enough Arc Routing Problem, also called Generalized Directed Rural Postman Problem, is an arc routing problem with interesting real-life applications, such as routing for meter reading. In this application, a vehicle with a receiver travels through a series of neighborhoods. If the vehicle gets within a certain distance of a meter, the receiver is able to record the gas, water, or electricity consumption. Therefore, the vehicle does not need to traverse every street, but only a few, in order to be close enough to each meter. In this paper we deal with an extension of this problem, the Distance-Constrained Generalized Directed Rural Postman Problem or Distance-Constrained Close Enough Arc Routing Problem, in which a fleet of vehicles is available. The vehicles have to leave from and return to a common vertex, the depot, and the length of their routes must not exceed a maximum distance (or time). For solving this problem we propose a matheuristic that incorporates an effective exact procedure to optimize the routes obtained. Extensive computational experiments have been performed on a set of benchmark instances and the results are compared with those obtained with an exact procedure proposed in the literature.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:topjnl:v:27:y:2019:i:2:d:10.1007_s11750-019-00507-3
    DOI: 10.1007/s11750-019-00507-3
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    References listed on IDEAS

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    1. 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.
    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. Julián Aráoz & Elena Fernández & Carles Franquesa, 2017. "The Generalized Arc Routing Problem," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 25(3), pages 497-525, October.
    4. Thais Ávila & Ángel Corberán & Isaac Plana & José M. Sanchis, 2017. "Formulations and exact algorithms for the distance-constrained generalized directed rural postman problem," EURO Journal on Computational Optimization, Springer;EURO - The Association of European Operational Research Societies, vol. 5(3), pages 339-365, September.
    5. Michel Gendreau & Gilbert Laporte & Frédéric Semet, 1997. "The Covering Tour Problem," Operations Research, INFORMS, vol. 45(4), pages 568-576, August.
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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. 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.

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