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A Branch-and-Cut Algorithm for the Single Truck and Trailer Routing Problem with Satellite Depots

Author

Listed:
  • José Manuel Belenguer

    (Departament d’Estadística i Investigació Operativa, Universitat de Valéncia, 46100 Burjassot (Valéncia), Spain)

  • Enrique Benavent

    (Departament d’Estadística i Investigació Operativa, Universitat de Valéncia, 46100 Burjassot (Valéncia), Spain)

  • Antonio Martínez

    (Southampton Management School, Faculty of Business and Law, University of Southampton, Highfield, Southampton SO17 1BJ, United Kingdom)

  • Christian Prins

    (Institut Charles Delaunay, Laboratoire d’Optimisation des Systémes Industriels (LOSI), Université de Technologie de Troyes, 10004 Troyes Cedex, France)

  • Caroline Prodhon

    (Institut Charles Delaunay, Laboratoire d’Optimisation des Systémes Industriels (LOSI), Université de Technologie de Troyes, 10004 Troyes Cedex, France)

  • Juan G. Villegas

    (Departamento de Ingeniería Industrial, Facultdad de Ingeniería, Universidad de Antioquia, 050010 Medellín, Colombia)

Abstract

In the single truck and trailer routing problem with satellite depots (STTRPSD), a truck with a detachable trailer based at a main depot must serve the demand of a set of customers accessible only by truck. Therefore, before serving the customers, it is necessary to detach the trailer in an appropriate parking place (called either a satellite depot or a trailer point) and transfer goods between the truck and the trailer. This problem has applications in milk collection for farms that cannot be reached using large vehicles. In this work we present an integer programming formulation of the STTRPSD. This formulation is tightened with several families of valid inequalities for which we have developed different (exact and heuristic) separation procedures. Using these elements, we have implemented a branch-and-cut algorithm for the solution of the STTRPSD. A computational experiment with published instances shows that the proposed branch-and-cut algorithm consistently solves problems with up to 50 customers and 10 satellite depots, and it has also been able to solve instances with up to 20 satellite depots and 100 clustered customers.

Suggested Citation

  • José Manuel Belenguer & Enrique Benavent & Antonio Martínez & Christian Prins & Caroline Prodhon & Juan G. Villegas, 2016. "A Branch-and-Cut Algorithm for the Single Truck and Trailer Routing Problem with Satellite Depots," Transportation Science, INFORMS, vol. 50(2), pages 735-749, May.
    • Handle: RePEc:inm:ortrsc:v:50:y:2016:i:2:p:735-749
    DOI: 10.1287/trsc.2014.0571
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    References listed on IDEAS

    as
    1. Gilbert Laporte, 2009. "Fifty Years of Vehicle Routing," Transportation Science, INFORMS, vol. 43(4), pages 408-416, November.
    2. Mads Jepsen & Simon Spoorendonk & Stefan Ropke, 2013. "A Branch-and-Cut Algorithm for the Symmetric Two-Echelon Capacitated Vehicle Routing Problem," Transportation Science, INFORMS, vol. 47(1), pages 23-37, February.
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    9. Villegas, Juan G. & Prins, Christian & Prodhon, Caroline & Medaglia, Andrés L. & Velasco, Nubia, 2013. "A matheuristic for the truck and trailer routing problem," European Journal of Operational Research, Elsevier, vol. 230(2), pages 231-244.
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    Cited by:

    1. Ann-Kathrin Rothenbächer & Michael Drexl & Stefan Irnich, 2016. "Branch-and-Price-and-Cut for the Truck-andTrailer Routing Problem with Time Windows," Working Papers 1617, Gutenberg School of Management and Economics, Johannes Gutenberg-Universität Mainz.
    2. Ann-Kathrin Rothenbächer & Michael Drexl & Stefan Irnich, 2018. "Branch-and-Price-and-Cut for the Truck-and-Trailer Routing Problem with Time Windows," Transportation Science, INFORMS, vol. 52(5), pages 1174-1190, October.
    3. Maximilian Schiffer & Michael Schneider & Grit Walther & Gilbert Laporte, 2019. "Vehicle Routing and Location Routing with Intermediate Stops: A Review," Transportation Science, INFORMS, vol. 53(2), pages 319-343, March.
    4. Niels Agatz & Paul Bouman & Marie Schmidt, 2018. "Optimization Approaches for the Traveling Salesman Problem with Drone," Transportation Science, INFORMS, vol. 52(4), pages 965-981, August.
    5. Benavent, Enrique & Corberán, Ángel & Laganà, Demetrio & Vocaturo, Francesca, 2019. "The periodic rural postman problem with irregular services on mixed graphs," European Journal of Operational Research, Elsevier, vol. 276(3), pages 826-839.
    6. Bektaş, Tolga & Gouveia, Luis & Martínez-Sykora, Antonio & Salazar-González, Juan-José, 2019. "Balanced vehicle routing: Polyhedral analysis and branch-and-cut algorithm," European Journal of Operational Research, Elsevier, vol. 273(2), pages 452-463.

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