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A heuristic for the container loading problem: A tertiary-tree-based dynamic space decomposition approach

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  • Wang, Zhoujing
  • Li, Kevin W.
  • Levy, Jason K.

Abstract

Increasing fuel costs, post-911 security concerns, and economic globalization provide a strong incentive for container carriers to use available container space more efficiently, thereby minimizing the number of container trips and reducing socio-economic vulnerability. A heuristic algorithm based on a tertiary tree model is proposed to handle the container loading problem (CLP) with weakly heterogeneous boxes. A dynamic space decomposition method based on the tertiary tree structure is developed to partition the remaining container space after a block of homogeneous rectangular boxes is loaded into a container. This decomposition approach, together with an optimal-fitting sequencing and an inner-right-corner-occupying placement rule, permits a holistic loading strategy to pack a container. Comparative studies with existing algorithms and an illustrative example demonstrate the efficiency of this algorithm.

Suggested Citation

  • Wang, Zhoujing & Li, Kevin W. & Levy, Jason K., 2008. "A heuristic for the container loading problem: A tertiary-tree-based dynamic space decomposition approach," European Journal of Operational Research, Elsevier, vol. 191(1), pages 86-99, November.
    • Handle: RePEc:eee:ejores:v:191:y:2008:i:1:p:86-99
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    References listed on IDEAS

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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. Lu, Hao-Chun & Huang, Yao-Huei, 2015. "An efficient genetic algorithm with a corner space algorithm for a cutting stock problem in the TFT-LCD industry," European Journal of Operational Research, Elsevier, vol. 246(1), pages 51-65.
    3. Bortfeldt, Andreas & Wäscher, Gerhard, 2013. "Constraints in container loading – A state-of-the-art review," European Journal of Operational Research, Elsevier, vol. 229(1), pages 1-20.
    4. Ren, Jidong & Tian, Yajie & Sawaragi, Tetsuo, 2011. "A tree search method for the container loading problem with shipment priority," European Journal of Operational Research, Elsevier, vol. 214(3), pages 526-535, November.
    5. Y Wu, 2011. "Modelling of containerized air cargo forwarding problems under uncertainty," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(7), pages 1211-1226, July.
    6. 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.
    7. Li, Yanzhi & Tao, Yi & Wang, Fan, 2009. "A compromised large-scale neighborhood search heuristic for capacitated air cargo loading planning," European Journal of Operational Research, Elsevier, vol. 199(2), pages 553-560, December.

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