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A reactive GRASP metaheuristic for the container retrieval problem to reduce crane’s working time

Author

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  • Andresson Silva Firmino

    (Universidade Federal de Pernambuco)

  • Ricardo Martins Abreu Silva

    (Universidade Federal de Pernambuco)

  • Valéria Cesário Times

    (Universidade Federal de Pernambuco)

Abstract

The container retrieval problem (CRP) is a very important issue for container terminals. The CRP seeks to find an optimal sequence of operations for the crane to retrieve all the containers from the bay according to a predefined order. An optimal sequence of operations is obtained by either reducing the number of container relocations or reducing any kind of working cost performed by the crane, i.e., energy, time, etc. Although the former is the main objective function discussed in the literature, minimizing the number of relocations does not ensure the solution with the minimal working cost, as evidenced in this paper. Therefore, in this study, a crane’s trajectory is defined to better measure the crane’s working cost, and the optimization goal is to minimize the crane’s working time considering the crane’s trajectory. Moreover, it proposes exact methods and a reactive GRASP algorithm for the CRP. The experimental results show that the proposed algorithm is able to provide better solutions for both the number of container relocations and the crane’s working time, when compared to heuristic approaches in the recent literature.

Suggested Citation

  • Andresson Silva Firmino & Ricardo Martins Abreu Silva & Valéria Cesário Times, 2019. "A reactive GRASP metaheuristic for the container retrieval problem to reduce crane’s working time," Journal of Heuristics, Springer, vol. 25(2), pages 141-173, April.
    • Handle: RePEc:spr:joheur:v:25:y:2019:i:2:d:10.1007_s10732-018-9390-0
    DOI: 10.1007/s10732-018-9390-0
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    References listed on IDEAS

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    Cited by:

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    3. Parreño-Torres, Consuelo & Alvarez-Valdes, Ramon & Ruiz, Rubén & Tierney, Kevin, 2020. "Minimizing crane times in pre-marshalling problems," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 137(C).
    4. Jiménez-Piqueras, Celia & Ruiz, Rubén & Parreño-Torres, Consuelo & Alvarez-Valdes, Ramon, 2023. "A constraint programming approach for the premarshalling problem," European Journal of Operational Research, Elsevier, vol. 306(2), pages 668-678.
    5. Parreño-Torres, Consuelo & Alvarez-Valdes, Ramon & Parreño, Francisco, 2022. "A beam search algorithm for minimizing crane times in premarshalling problems," European Journal of Operational Research, Elsevier, vol. 302(3), pages 1063-1078.
    6. Tanaka, Shunji & Voß, Stefan, 2019. "An exact algorithm for the block relocation problem with a stowage plan," European Journal of Operational Research, Elsevier, vol. 279(3), pages 767-781.
    7. Lüer-Villagra, Armin & Marianov, Vladimir & Eiselt, H.A. & Méndez-Vogel, Gonzalo, 2022. "The leader multipurpose shopping location problem," European Journal of Operational Research, Elsevier, vol. 302(2), pages 470-481.
    8. Zweers, Bernard G. & Bhulai, Sandjai & van der Mei, Rob D., 2020. "Optimizing pre-processing and relocation moves in the Stochastic Container Relocation Problem," European Journal of Operational Research, Elsevier, vol. 283(3), pages 954-971.

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