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Modeling and solving the Tactical Berth Allocation Problem

Author

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  • Giallombardo, Giovanni
  • Moccia, Luigi
  • Salani, Matteo
  • Vacca, Ilaria

Abstract

In this paper we integrate at the tactical level two decision problems arising in container terminals: the berth allocation problem, which consists of assigning and scheduling incoming ships to berthing positions, and the quay crane assignment problem, which assigns to incoming ships a certain quay crane profile (i.e. number of quay cranes per working shift). We present two formulations: a mixed integer quadratic program and a linearization which reduces to a mixed integer linear program. The objective function aims, on the one hand, to maximize the total value of chosen quay crane profiles and, on the other hand, to minimize the housekeeping costs generated by transshipment flows between ships. To solve the problem we developed a heuristic algorithm which combines tabu search methods and mathematical programming techniques. Computational results on instances based on real data are presented and compared to those obtained through a commercial solver.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:transb:v:44:y:2010:i:2:p:232-245
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    References listed on IDEAS

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    1. M Flavia Monaco & Luigi Moccia & Marcello Sammarra, 2009. "Operations Research for the management of a transhipment container terminal: The Gioia Tauro case," Maritime Economics & Logistics, Palgrave Macmillan;International Association of Maritime Economists (IAME), vol. 11(1), pages 7-35, March.
    2. 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.
    3. Kim, Kap Hwan & Moon, Kyung Chan, 2003. "Berth scheduling by simulated annealing," Transportation Research Part B: Methodological, Elsevier, vol. 37(6), pages 541-560, July.
    4. 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.
    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. Nishimura, Etsuko & Imai, Akio & Papadimitriou, Stratos, 2001. "Berth allocation planning in the public berth system by genetic algorithms," European Journal of Operational Research, Elsevier, vol. 131(2), pages 282-292, June.
    7. Imai, Akio & Nishimura, Etsuko & Hattori, Masahiro & Papadimitriou, Stratos, 2007. "Berth allocation at indented berths for mega-containerships," European Journal of Operational Research, Elsevier, vol. 179(2), pages 579-593, June.
    8. Jean-François Cordeau & Manlio Gaudioso & Gilbert Laporte & Luigi Moccia, 2006. "A Memetic Heuristic for the Generalized Quadratic Assignment Problem," INFORMS Journal on Computing, INFORMS, vol. 18(4), pages 433-443, November.
    9. Cordeau, Jean-Francois & Gaudioso, Manlio & Laporte, Gilbert & Moccia, Luigi, 2007. "The service allocation problem at the Gioia Tauro Maritime Terminal," European Journal of Operational Research, Elsevier, vol. 176(2), pages 1167-1184, January.
    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. Imai, Akio & Nishimura, Etsuko & Papadimitriou, Stratos, 2003. "Berth allocation with service priority," Transportation Research Part B: Methodological, Elsevier, vol. 37(5), pages 437-457, June.
    12. 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.
    13. M. Flavia Monaco & Marcello Sammarra, 2007. "The Berth Allocation Problem: A Strong Formulation Solved by a Lagrangean Approach," Transportation Science, INFORMS, vol. 41(2), pages 265-280, May.
    14. Imai, Akio & Sun, Xin & Nishimura, Etsuko & Papadimitriou, Stratos, 2005. "Berth allocation in a container port: using a continuous location space approach," Transportation Research Part B: Methodological, Elsevier, vol. 39(3), pages 199-221, March.
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