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An Exact Algorithm for the Integrated Planning of Berth Allocation and Quay Crane Assignment

Author

Listed:
  • Ilaria Vacca

    (Transport and Mobility Laboratory, School of Architecture, Civil and Environmental Engineering, École Polytechnique Fédérale de Lausanne (EPFL), CH-1015 Lausanne, Switzerland)

  • Matteo Salani

    (Dalle Molle Institute for Artificial Intelligence (IDSIA), CH-6928 Manno-Lugano, Switzerland)

  • Michel Bierlaire

    (Transport and Mobility Laboratory, School of Architecture, Civil and Environmental Engineering, École Polytechnique Fédérale de Lausanne (EPFL), CH-1015 Lausanne, Switzerland)

Abstract

In this paper we study the simultaneous optimization of berth allocation and quay crane assignment in seaport container terminals. We propose a model based on an exponential number of variables that is solved via column generation. An exact branch and price algorithm is implemented to produce optimal integer solutions to the problem. In particular, we present several accelerating techniques for the master and the pricing problem that can be generalized to other branch and price schemes. Computational results show that the proposed approach outperforms commercial solvers. Furthermore, the developed algorithm allows for a comparative analysis between the hierarchical and the integrated solution approach that confirms the added value of integration in terms of cost reduction and efficient use of resources. To the best of our knowledge, this is the first exact branch and price algorithm for both the berth allocation problem and the berth allocation problem with quay crane assignment.

Suggested Citation

  • Ilaria Vacca & Matteo Salani & Michel Bierlaire, 2013. "An Exact Algorithm for the Integrated Planning of Berth Allocation and Quay Crane Assignment," Transportation Science, INFORMS, vol. 47(2), pages 148-161, May.
    • Handle: RePEc:inm:ortrsc:v:47:y:2013:i:2:p:148-161
    DOI: 10.1287/trsc.1120.0428
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    References listed on IDEAS

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    1. Jean-François Cordeau & Gilbert Laporte & Pasquale Legato & Luigi Moccia, 2005. "Models and Tabu Search Heuristics for the Berth-Allocation Problem," Transportation Science, INFORMS, vol. 39(4), pages 526-538, November.
    2. Meisel, Frank & Bierwirth, Christian, 2009. "Heuristics for the integration of crane productivity in the berth allocation problem," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 45(1), pages 196-209, January.
    3. Roar Grønhaug & Marielle Christiansen & Guy Desaulniers & Jacques Desrosiers, 2010. "A Branch-and-Price Method for a Liquefied Natural Gas Inventory Routing Problem," Transportation Science, INFORMS, vol. 44(3), pages 400-415, August.
    4. Shawn Choo & Diego Klabjan & David Simchi-Levi, 2010. "Multiship Crane Sequencing with Yard Congestion Constraints," Transportation Science, INFORMS, vol. 44(1), pages 98-115, February.
    5. Imai, Akio & Nishimura, Etsuko & Papadimitriou, Stratos, 2001. "The dynamic berth allocation problem for a container port," Transportation Research Part B: Methodological, Elsevier, vol. 35(4), pages 401-417, May.
    6. Salani, Matteo & Vacca, Ilaria, 2011. "Branch and price for the vehicle routing problem with discrete split deliveries and time windows," European Journal of Operational Research, Elsevier, vol. 213(3), pages 470-477, September.
    7. Cynthia Barnhart & Peter Belobaba & Amedeo R. Odoni, 2003. "Applications of Operations Research in the Air Transport Industry," Transportation Science, INFORMS, vol. 37(4), pages 368-391, November.
    8. Marco E. Lübbecke & Jacques Desrosiers, 2005. "Selected Topics in Column Generation," Operations Research, INFORMS, vol. 53(6), pages 1007-1023, December.
    9. Bierwirth, Christian & Meisel, Frank, 2010. "A survey of berth allocation and quay crane scheduling problems in container terminals," European Journal of Operational Research, Elsevier, vol. 202(3), pages 615-627, May.
    10. Vis, Iris F. A. & de Koster, Rene, 2003. "Transshipment of containers at a container terminal: An overview," European Journal of Operational Research, Elsevier, vol. 147(1), pages 1-16, May.
    11. Marielle Christiansen & Kjetil Fagerholt & David Ronen, 2004. "Ship Routing and Scheduling: Status and Perspectives," Transportation Science, INFORMS, vol. 38(1), pages 1-18, February.
    12. Buhrkal, Katja & Zuglian, Sara & Ropke, Stefan & Larsen, Jesper & Lusby, Richard, 2011. "Models for the discrete berth allocation problem: A computational comparison," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 47(4), pages 461-473, July.
    13. Imai, Akio & Chen, Hsieh Chia & Nishimura, Etsuko & Papadimitriou, Stratos, 2008. "The simultaneous berth and quay crane allocation problem," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 44(5), pages 900-920, September.
    14. Giallombardo, Giovanni & Moccia, Luigi & Salani, Matteo & Vacca, Ilaria, 2010. "Modeling and solving the Tactical Berth Allocation Problem," Transportation Research Part B: Methodological, Elsevier, vol. 44(2), pages 232-245, February.
    15. Mauro Dell’Amico & Giovanni Righini & Matteo Salani, 2006. "A Branch-and-Price Approach to the Vehicle Routing Problem with Simultaneous Distribution and Collection," Transportation Science, INFORMS, vol. 40(2), pages 235-247, May.
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