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The single container loading problem with axle weight constraints

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  • Lim, Andrew
  • Ma, Hong
  • Qiu, Chaoyang
  • Zhu, Wenbin

Abstract

This paper considers a single container loading problem with practical constraints that address the U.S. legal requirements stipulated in the California Vehicle Code (CVC) related to truck axle weight. The problem is computationally intractable for practical problem cases. We propose an integrated heuristic solution approach that combines a GRASP wall-building algorithm with linear integer programming models. Experiments are conducted using data generated from real cases showing the effectiveness of our approach. This work has been developed into a software component to facilitate decision makers in the industry.

Suggested Citation

  • Lim, Andrew & Ma, Hong & Qiu, Chaoyang & Zhu, Wenbin, 2013. "The single container loading problem with axle weight constraints," International Journal of Production Economics, Elsevier, vol. 144(1), pages 358-369.
    • Handle: RePEc:eee:proeco:v:144:y:2013:i:1:p:358-369
    DOI: 10.1016/j.ijpe.2013.03.001
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    Cited by:

    1. Xianbo Xiang & Caoyang Yu & He Xu & Stuart X. Zhu, 2018. "Optimization of Heterogeneous Container Loading Problem with Adaptive Genetic Algorithm," Complexity, Hindawi, vol. 2018, pages 1-12, November.
    2. Hanne Pollaris & Kris Braekers & An Caris & Gerrit K. Janssens & Sabine Limbourg, 2016. "Capacitated vehicle routing problem with sequence-based pallet loading and axle weight constraints," EURO Journal on Transportation and Logistics, Springer;EURO - The Association of European Operational Research Societies, vol. 5(2), pages 231-255, June.
    3. Konstantinos N. Androutsopoulos & Eleni Karouti, 2022. "A safety-driven truck loading problem," Operational Research, Springer, vol. 22(5), pages 4931-4963, November.
    4. I. Gimenez-Palacios & M. T. Alonso & R. Alvarez-Valdes & F. Parreño, 2021. "Logistic constraints in container loading problems: the impact of complete shipment conditions," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 29(1), pages 177-203, April.
    5. Sheng, Liu & Hongxia, Zhao & Xisong, Dong & Changjian, Cheng, 2016. "A heuristic algorithm for container loading of pallets with infill boxes," European Journal of Operational Research, Elsevier, vol. 252(3), pages 728-736.
    6. Çalık, Hatice & Juwet, Marc & Yaman, Hande & Vanden Berghe, Greet, 2023. "Cargo securing under multi-drop and axle weight constraints," European Journal of Operational Research, Elsevier, vol. 307(1), pages 157-176.
    7. Novas, Juan M. & Ramello, Juan Ignacio & Rodríguez, María Analía, 2020. "Generalized disjunctive programming models for the truck loading problem: A case study from the non-alcoholic beverages industry," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 140(C).
    8. Alonso, M.T. & Alvarez-Valdes, R. & Iori, M. & Parreño, F. & Tamarit, J.M., 2017. "Mathematical models for multicontainer loading problems," Omega, Elsevier, vol. 66(PA), pages 106-117.
    9. Castellucci, Pedro B. & Toledo, Franklina M.B. & Costa, Alysson M., 2019. "Output maximization container loading problem with time availability constraints," Operations Research Perspectives, Elsevier, vol. 6(C).
    10. Ramos, António G. & Silva, Elsa & Oliveira, José F., 2018. "A new load balance methodology for container loading problem in road transportation," European Journal of Operational Research, Elsevier, vol. 266(3), pages 1140-1152.
    11. Wei, Lijun & Zhu, Wenbin & Lim, Andrew, 2015. "A goal-driven prototype column generation strategy for the multiple container loading cost minimization problem," European Journal of Operational Research, Elsevier, vol. 241(1), pages 39-49.
    12. Silva, Elsa & Ramos, António G. & Oliveira, José F., 2018. "Load balance recovery for multi-drop distribution problems: A mixed integer linear programming approach," Transportation Research Part B: Methodological, Elsevier, vol. 116(C), pages 62-75.
    13. Carlos A. Vega-Mejía & Jairo R. Montoya-Torres & Sardar M. N. Islam, 2019. "Consideration of triple bottom line objectives for sustainability in the optimization of vehicle routing and loading operations: a systematic literature review," Annals of Operations Research, Springer, vol. 273(1), pages 311-375, February.
    14. Mantovani, Serena & Morganti, Gianluca & Umang, Nitish & Crainic, Teodor Gabriel & Frejinger, Emma & Larsen, Eric, 2018. "The load planning problem for double-stack intermodal trains," European Journal of Operational Research, Elsevier, vol. 267(1), pages 107-119.
    15. Araya, Ignacio & Moyano, Mauricio & Sanchez, Cristobal, 2020. "A beam search algorithm for the biobjective container loading problem," European Journal of Operational Research, Elsevier, vol. 286(2), pages 417-431.
    16. M. T. Alonso & R. Alvarez-Valdes & F. Parreño, 2020. "A GRASP algorithm for multi container loading problems with practical constraints," 4OR, Springer, vol. 18(1), pages 49-72, March.
    17. Gajda, Mikele & Trivella, Alessio & Mansini, Renata & Pisinger, David, 2022. "An optimization approach for a complex real-life container loading problem," Omega, Elsevier, vol. 107(C).

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