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The Double Traveling Salesman Problem with Multiple Stacks and a Choice of Container Types

Author

Listed:
  • Lars Magnus Hvattum

    (Faculty of Logistics, Molde University College, 6410 Molde, Norway)

  • Gregorio Tirado

    (Department of Financial and Actuarial Economics & Statistics, Complutense University of Madrid, 28223 Madrid, Spain
    Interdisciplinary Mathematics Institute, Complutense University of Madrid, 28040 Madrid, Spain)

  • Ángel Felipe

    (Department of Statistics and Operational Research, Complutense University of Madrid, 28040 Madrid, Spain)

Abstract

The double traveling salesman problem with multiple stacks involves the transportation of goods between two regions. In one region, a vehicle carrying a container visits customers, where pallets of goods are loaded into the container. The container is then shipped to a different region, where another vehicle visits another set of customers where the pallets are unloaded. Pallets are loaded in several rows inside the container, where each row follows the last-in-first-out principle. The standard test instances for the double traveling salesman problem with multiple stacks implies the use of a 45-foot pallet wide container to carry EUR-1 pallets. This paper investigates the effect on transportation costs if an open side container could be used when transporting the pallets. Computational experiments show savings in transportation costs of up to 20%. Moreover, by using a container loaded from the side, rather than from the rear, the defining attributes of the double traveling salesman problem seem to be lost.

Suggested Citation

  • Lars Magnus Hvattum & Gregorio Tirado & Ángel Felipe, 2020. "The Double Traveling Salesman Problem with Multiple Stacks and a Choice of Container Types," Mathematics, MDPI, vol. 8(6), pages 1-11, June.
  • Handle: RePEc:gam:jmathe:v:8:y:2020:i:6:p:979-:d:371980
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    References listed on IDEAS

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    1. Fuellerer, Guenther & Doerner, Karl F. & Hartl, Richard F. & Iori, Manuel, 2010. "Metaheuristics for vehicle routing problems with three-dimensional loading constraints," European Journal of Operational Research, Elsevier, vol. 201(3), pages 751-759, March.
    2. Felipe, Angel & Teresa Ortuño, M. & Tirado, Gregorio, 2011. "Using intermediate infeasible solutions to approach vehicle routing problems with precedence and loading constraints," European Journal of Operational Research, Elsevier, vol. 211(1), pages 66-75, May.
    3. Manuel A. Alba Martínez & Jean-François Cordeau & Mauro Dell'Amico & Manuel Iori, 2013. "A Branch-and-Cut Algorithm for the Double Traveling Salesman Problem with Multiple Stacks," INFORMS Journal on Computing, INFORMS, vol. 25(1), pages 41-55, February.
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    5. Cherkesly, Marilène & Desaulniers, Guy & Irnich, Stefan & Laporte, Gilbert, 2016. "Branch-price-and-cut algorithms for the pickup and delivery problem with time windows and multiple stacks," European Journal of Operational Research, Elsevier, vol. 250(3), pages 782-793.
    6. Petersen, Hanne L. & Madsen, Oli B.G., 2009. "The double travelling salesman problem with multiple stacks - Formulation and heuristic solution approaches," European Journal of Operational Research, Elsevier, vol. 198(1), pages 139-147, October.
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    Cited by:

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