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The assignment of storage locations to containers for a container stack

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  • Yat‐wah Wan
  • Jiyin Liu
  • Pei‐Chun Tsai

Abstract

Assigning storage locations to incoming or reshuffled containers is a fundamental problem essential to the operations efficiency of container terminals. The problem is notoriously hard for its combinatorial and dynamic nature. In this article, we minimize the number of reshuffles in assigning storage locations for incoming and reshuffled export containers. For the static problem to empty a given stack without any new container arrival, the optimum reshuffle sequence is identified by an integer program (IP). The integer program captures the evolution of stack configurations as a function of decisions and is of interest by itself. Heuristics based on the integer program are then derived. Their competitiveness in accuracy and time are established by extensive numerical runs comparing them with existing heuristics in literature and in practice as well as with extensions of the existing heuristics. Variants of the IP‐based heuristics are then applied to the dynamic problem with continual retrievals and arrivals of containers. Again, numerical runs confirm that the IP‐based heuristic is competitive. © 2009 Wiley Periodicals, Inc. Naval Research Logistics, 2009

Suggested Citation

  • Yat‐wah Wan & Jiyin Liu & Pei‐Chun Tsai, 2009. "The assignment of storage locations to containers for a container stack," Naval Research Logistics (NRL), John Wiley & Sons, vol. 56(8), pages 699-713, December.
    • Handle: RePEc:wly:navres:v:56:y:2009:i:8:p:699-713
    DOI: 10.1002/nav.20373
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    1. Zhang, Chuqian & Liu, Jiyin & Wan, Yat-wah & Murty, Katta G. & Linn, Richard J., 2003. "Storage space allocation in container terminals," Transportation Research Part B: Methodological, Elsevier, vol. 37(10), pages 883-903, December.
    2. Kim, Kap Hwan & Park, Young Man & Ryu, Kwang-Ryul, 2000. "Deriving decision rules to locate export containers in container yards," European Journal of Operational Research, Elsevier, vol. 124(1), pages 89-101, July.
    3. Taleb-Ibrahimi, Mounira & de Castilho, Bernardo & Daganzo, Carlos F., 1993. "Storage space vs handling work in container terminals," Transportation Research Part B: Methodological, Elsevier, vol. 27(1), pages 13-32, February.
    4. 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.
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    3. Azab, Ahmed & Morita, Hiroshi, 2022. "The block relocation problem with appointment scheduling," European Journal of Operational Research, Elsevier, vol. 297(2), pages 680-694.
    4. Boschma, René & Mes, Martijn R.K. & de Vries, Leon R., 2023. "Approximate dynamic programming for container stacking," European Journal of Operational Research, Elsevier, vol. 310(1), pages 328-342.
    5. Sun, Defeng & Meng, Ying & Tang, Lixin & Liu, Jinyin & Huang, Baobin & Yang, Jiefu, 2020. "Storage space allocation problem at inland bulk material stockyard," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 134(C).
    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. Galle, Virgile & Barnhart, Cynthia & Jaillet, Patrick, 2018. "Yard Crane Scheduling for container storage, retrieval, and relocation," European Journal of Operational Research, Elsevier, vol. 271(1), pages 288-316.
    8. 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.
    9. Lu Zhen & Shuaian Wang & Kai Wang, 2016. "Terminal allocation problem in a transshipment hub considering bunker consumption," Naval Research Logistics (NRL), John Wiley & Sons, vol. 63(7), pages 529-548, October.
    10. Bacci, Tiziano & Mattia, Sara & Ventura, Paolo, 2020. "A branch-and-cut algorithm for the restricted Block Relocation Problem," European Journal of Operational Research, Elsevier, vol. 287(2), pages 452-459.
    11. Raka Jovanovic & Shunji Tanaka & Tatsushi Nishi & Stefan Voß, 2019. "A GRASP approach for solving the Blocks Relocation Problem with Stowage Plan," Flexible Services and Manufacturing Journal, Springer, vol. 31(3), pages 702-729, September.
    12. M. Hakan Akyüz & Chung‐Yee Lee, 2014. "A mathematical formulation and efficient heuristics for the dynamic container relocation problem," Naval Research Logistics (NRL), John Wiley & Sons, vol. 61(2), pages 101-118, March.
    13. Marolt Jakob & Lerher Tone, 2018. "Comparison of Lowest-Slot and Nearest-Stack Heuristics for Storage Assignment of Steel Bar Sets," Logistics, Supply Chain, Sustainability and Global Challenges, Sciendo, vol. 9(2), pages 37-45, October.
    14. Jovanovic, Raka & Tuba, Milan & Voß, Stefan, 2019. "An efficient ant colony optimization algorithm for the blocks relocation problem," European Journal of Operational Research, Elsevier, vol. 274(1), pages 78-90.
    15. Feng, Yuanjun & Song, Dong-Ping & Li, Dong & Xie, Ying, 2022. "Service fairness and value of customer information for the stochastic container relocation problem under flexible service policy," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 167(C).
    16. Tanaka, Shunji & Voß, Stefan, 2022. "An exact approach to the restricted block relocation problem based on a new integer programming formulation," European Journal of Operational Research, Elsevier, vol. 296(2), pages 485-503.
    17. Huiling Zhu & Mingjun Ji & Wenwen Guo & Qingbin Wang & Yongzhi Yang, 2019. "Mathematical formulation and heuristic algorithm for the block relocation and loading problem," Naval Research Logistics (NRL), John Wiley & Sons, vol. 66(4), pages 333-351, June.
    18. Lixin Tang & Ren Zhao & Jiyin Liu, 2012. "Models and algorithms for shuffling problems in steel plants," Naval Research Logistics (NRL), John Wiley & Sons, vol. 59(7), pages 502-524, October.

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