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The parallel stack loading problem considering multiple batches of storage plates

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  • Wu, Lebao
  • Jiang, Zuhua

Abstract

This paper considers a parallel stack loading problem with multiple batches of storage plates, a problem that occurs in the plate logistics of shipbuilding. The objective of this problem is to store batches of plates in a yard simultaneously so that the number of relocations during the retrieval stage is minimal. Instead of choosing the plates’ location in the yard alone, the storage order should also be decided, and the storage priority between plates in a batch should be maintained. Such a problem can be regarded as a variant of the capacitated vehicle routing problem. This paper analyzes the influence of stack number, stack capacity, and batch number on the relocation number; optimal conditions and upper bounds under different parameter ranges are provided. Four mathematical models and an ALNS-based algorithm are designed to solve the small-sized and large-sized instances separately, and the experiments on benchmarks are conducted to demonstrate the performance of the proposed methods. Finally, some management suggestions are provided based on the analysis of the problem and experiment results.

Suggested Citation

  • Wu, Lebao & Jiang, Zuhua, 2025. "The parallel stack loading problem considering multiple batches of storage plates," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 193(C).
    • Handle: RePEc:eee:transe:v:193:y:2025:i:c:s1366554524004642
    DOI: 10.1016/j.tre.2024.103873
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    as
    1. Dönmez, Sercan & Koç, Çağrı & Altıparmak, Fulya, 2022. "The mixed fleet vehicle routing problem with partial recharging by multiple chargers: Mathematical model and adaptive large neighborhood search," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 167(C).
    2. Hu Qin & Xinxin Su & Guoxin Li & Xin Jin & Mingzhu Yu, 2023. "A Simulation Based Meta-heuristic Approach for the Inbound Container Housekeeping Problem in the Automated Container Terminals," Maritime Policy & Management, Taylor & Francis Journals, vol. 50(4), pages 515-537, May.
    3. Petering, Matthew E.H. & Hussein, Mazen I., 2013. "A new mixed integer program and extended look-ahead heuristic algorithm for the block relocation problem," European Journal of Operational Research, Elsevier, vol. 231(1), pages 120-130.
    4. Boysen, Nils & Emde, Simon, 2016. "The parallel stack loading problem to minimize blockages," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 79433, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    5. Boge, Sven & Knust, Sigrid, 2020. "The parallel stack loading problem minimizing the number of reshuffles in the retrieval stage," European Journal of Operational Research, Elsevier, vol. 280(3), pages 940-952.
    6. Zhen, Lu, 2016. "Modeling of yard congestion and optimization of yard template in container ports," Transportation Research Part B: Methodological, Elsevier, vol. 90(C), pages 83-104.
    7. Lehnfeld, Jana & Knust, Sigrid, 2014. "Loading, unloading and premarshalling of stacks in storage areas: Survey and classification," European Journal of Operational Research, Elsevier, vol. 239(2), pages 297-312.
    8. Caserta, Marco & Schwarze, Silvia & Voß, Stefan, 2012. "A mathematical formulation and complexity considerations for the blocks relocation problem," European Journal of Operational Research, Elsevier, vol. 219(1), pages 96-104.
    9. 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.
    10. Upadhyay, Amit & Gu, Weihua & Bolia, Nomesh, 2017. "Optimal loading of double-stack container trains," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 107(C), pages 1-22.
    11. Zhang, Xiaoju & Jia, Nan & Song, Dongping & Liu, Baoli, 2024. "Modelling and analyzing the stacking strategies in automated container terminals," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 187(C).
    12. 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.
    13. Bruns, Florian & Knust, Sigrid & Shakhlevich, Natalia V., 2016. "Complexity results for storage loading problems with stacking constraints," European Journal of Operational Research, Elsevier, vol. 249(3), pages 1074-1081.
    14. Lanza, Giacomo & Passacantando, Mauro & Scutellà, Maria Grazia, 2022. "Assigning and sequencing storage locations under a two level storage policy: Optimization model and matheuristic approaches," Omega, Elsevier, vol. 108(C).
    15. Rommert Dekker & Patrick Voogd & Eelco Asperen, 2007. "Advanced methods for container stacking," Springer Books, in: Kap Hwan Kim & Hans-Otto Günther (ed.), Container Terminals and Cargo Systems, pages 131-154, Springer.
    16. Feng, Yuanjun & Song, Dong-Ping & Li, Dong, 2022. "Smart stacking for import containers using customer information at automated container terminals," European Journal of Operational Research, Elsevier, vol. 301(2), pages 502-522.
    17. Gharehgozli, Amir & Zaerpour, Nima, 2018. "Stacking outbound barge containers in an automated deep-sea terminal," European Journal of Operational Research, Elsevier, vol. 267(3), pages 977-995.
    18. Stefan Ropke & David Pisinger, 2006. "An Adaptive Large Neighborhood Search Heuristic for the Pickup and Delivery Problem with Time Windows," Transportation Science, INFORMS, vol. 40(4), pages 455-472, November.
    19. Yu, Mingzhu & Qi, Xiangtong, 2013. "Storage space allocation models for inbound containers in an automatic container terminal," European Journal of Operational Research, Elsevier, vol. 226(1), pages 32-45.
    20. Goerigk, Marc & Knust, Sigrid & Le, Xuan Thanh, 2016. "Robust storage loading problems with stacking and payload constraints," European Journal of Operational Research, Elsevier, vol. 253(1), pages 51-67.
    21. Boysen, Nils & Emde, Simon, 2016. "The parallel stack loading problem to minimize blockages," European Journal of Operational Research, Elsevier, vol. 249(2), pages 618-627.
    22. Vallada, Eva & Belenguer, Jose Manuel & Villa, Fulgencia & Alvarez-Valdes, Ramon, 2023. "Models and algorithms for a yard crane scheduling problem in container ports," European Journal of Operational Research, Elsevier, vol. 309(2), pages 910-924.
    23. Luo, Zhixing & Qin, Hu & Zhang, Dezhi & Lim, Andrew, 2016. "Adaptive large neighborhood search heuristics for the vehicle routing problem with stochastic demands and weight-related cost," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 85(C), pages 69-89.
    24. Wang, Wenyuan & Liu, Huakun & Tian, Qi & Xia, Zicheng & Liu, Suri & Peng, Yun, 2024. "An enhanced variable neighborhood search method for refrigerated container stacking and relocation problem with duplicate priorities," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 188(C).
    25. Zhen, Lu & Xu, Zhou & Wang, Kai & Ding, Yi, 2016. "Multi-period yard template planning in container terminals," Transportation Research Part B: Methodological, Elsevier, vol. 93(PB), pages 700-719.
    26. Zhen, Lu & Zhuge, Dan & Wang, Shuaian & Wang, Kai, 2022. "Integrated berth and yard space allocation under uncertainty," Transportation Research Part B: Methodological, Elsevier, vol. 162(C), pages 1-27.
    27. Amir Gharehgozli & Joan P. Mileski & Okan Duru, 2017. "Heuristic estimation of container stacking and reshuffling operations under the containership delay factor and mega-ship challenge," Maritime Policy & Management, Taylor & Francis Journals, vol. 44(3), pages 373-391, April.
    28. Zhang, Canrong & Wang, Qi & Yuan, Guoping, 2023. "Novel models and algorithms for location assignment for outbound containers in container terminals," European Journal of Operational Research, Elsevier, vol. 308(2), pages 722-737.
    29. Ji, Mingjun & Guo, Wenwen & Zhu, Huiling & Yang, Yongzhi, 2015. "Optimization of loading sequence and rehandling strategy for multi-quay crane operations in container terminals," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 80(C), pages 1-19.
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