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Constraints in container loading – A state-of-the-art review

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  • Bortfeldt, Andreas
  • Wäscher, Gerhard

Abstract

Container loading is a pivotal function for operating supply chains efficiently. Underperformance results in unnecessary costs (e.g. cost of additional containers to be shipped) and in an unsatisfactory customer service (e.g. violation of deadlines agreed to or set by clients). Thus, it is not surprising that container loading problems have been dealt with frequently in the operations research literature. It has been claimed though that the proposed approaches are of limited practical value since they do not pay enough attention to constraints encountered in practice.

Suggested Citation

  • 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.
  • Handle: RePEc:eee:ejores:v:229:y:2013:i:1:p:1-20
    DOI: 10.1016/j.ejor.2012.12.006
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    as
    1. Fraser, Hamish J. & George, John A., 1994. "Integrated container loading software for pulp and paper industry," European Journal of Operational Research, Elsevier, vol. 77(3), pages 466-474, September.
    2. Allen, S.D. & Burke, E.K. & Kendall, G., 2011. "A hybrid placement strategy for the three-dimensional strip packing problem," European Journal of Operational Research, Elsevier, vol. 209(3), pages 219-227, March.
    3. Lins, Lauro & Lins, Sostenes & Morabito, Reinaldo, 2002. "An n-tet graph approach for non-guillotine packings of n-dimensional boxes into an n-container," European Journal of Operational Research, Elsevier, vol. 141(2), pages 421-439, September.
    4. Tobias Fanslau & Andreas Bortfeldt, 2010. "A Tree Search Algorithm for Solving the Container Loading Problem," INFORMS Journal on Computing, INFORMS, vol. 22(2), pages 222-235, May.
    5. Fuellerer, Guenther & Doerner, Karl F. & Hartl, Richard F. & Iori, Manuel, 2010. "Metaheuristics for vehicle routing problems with three-dimensional loading constraints," European Journal of Operational Research, Elsevier, vol. 201(3), pages 751-759, March.
    6. Wascher, Gerhard & Hau[ss]ner, Heike & Schumann, Holger, 2007. "An improved typology of cutting and packing problems," European Journal of Operational Research, Elsevier, vol. 183(3), pages 1109-1130, December.
    7. Lodi, Andrea & Martello, Silvano & Vigo, Daniele, 2002. "Heuristic algorithms for the three-dimensional bin packing problem," European Journal of Operational Research, Elsevier, vol. 141(2), pages 410-420, September.
    8. Michel Gendreau & Manuel Iori & Gilbert Laporte & Silvano Martello, 2006. "A Tabu Search Algorithm for a Routing and Container Loading Problem," Transportation Science, INFORMS, vol. 40(3), pages 342-350, August.
    9. Egeblad, Jens & Nielsen, Benny K. & Odgaard, Allan, 2007. "Fast neighborhood search for two- and three-dimensional nesting problems," European Journal of Operational Research, Elsevier, vol. 183(3), pages 1249-1266, December.
    10. Gehring, H. & Menschner, K. & Meyer, M., 1990. "A computer-based heuristic for packing pooled shipment containers," European Journal of Operational Research, Elsevier, vol. 44(2), pages 277-288, January.
    11. Faina, Loris, 2000. "A global optimization algorithm for the three-dimensional packing problem," European Journal of Operational Research, Elsevier, vol. 126(2), pages 340-354, October.
    12. Sándor P. Fekete & Jörg Schepers & Jan C. van der Veen, 2007. "An Exact Algorithm for Higher-Dimensional Orthogonal Packing," Operations Research, INFORMS, vol. 55(3), pages 569-587, June.
    13. Egeblad, Jens & Garavelli, Claudio & Lisi, Stefano & Pisinger, David, 2010. "Heuristics for container loading of furniture," European Journal of Operational Research, Elsevier, vol. 200(3), pages 881-892, February.
    14. Pisinger, David, 2002. "Heuristics for the container loading problem," European Journal of Operational Research, Elsevier, vol. 141(2), pages 382-392, September.
    15. Lim, A. & Rodrigues, B. & Wang, Y., 2003. "A multi-faced buildup algorithm for three-dimensional packing problems," Omega, Elsevier, vol. 31(6), pages 471-481, December.
    16. Bischoff, Eberhard E. & Marriott, Michael D., 1990. "A comparative evaluation of heuristics for container loading," European Journal of Operational Research, Elsevier, vol. 44(2), pages 267-276, January.
    17. Sciomachen, Anna & Tanfani, Elena, 2007. "A 3D-BPP approach for optimising stowage plans and terminal productivity," European Journal of Operational Research, Elsevier, vol. 183(3), pages 1433-1446, December.
    18. Eley, Michael, 2002. "Solving container loading problems by block arrangement," European Journal of Operational Research, Elsevier, vol. 141(2), pages 393-409, September.
    19. Bischoff, E.E., 2006. "Three-dimensional packing of items with limited load bearing strength," European Journal of Operational Research, Elsevier, vol. 168(3), pages 952-966, February.
    20. Che, Chan Hou & Huang, Weili & Lim, Andrew & Zhu, Wenbin, 2011. "The multiple container loading cost minimization problem," European Journal of Operational Research, Elsevier, vol. 214(3), pages 501-511, November.
    21. Zhihong Jin & Katsuhisa Ohno & Jiali Du, 2004. "An Efficient Approach For The Three-Dimensional Container Packing Problem With Practical Constraints," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 21(03), pages 279-295.
    22. Manuel Iori & Silvano Martello, 2010. "Routing problems with loading constraints," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 18(1), pages 4-27, July.
    23. Bischoff, E. E. & Ratcliff, M. S. W., 1995. "Issues in the development of approaches to container loading," Omega, Elsevier, vol. 23(4), pages 377-390, August.
    24. Andrea Lodi & Silvano Martello & Daniele Vigo, 2004. "TSpack: A Unified Tabu Search Code for Multi-Dimensional Bin Packing Problems," Annals of Operations Research, Springer, vol. 131(1), pages 203-213, October.
    25. Erhan Baltacioglu & James T. Moore & Raymond R. Hill Jr., 2006. "The distributor's three-dimensional pallet-packing problem: a human intelligence-based heuristic approach," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 1(3), pages 249-266.
    26. Manfred Padberg, 2000. "Packing small boxes into a big box," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 52(1), pages 1-21, September.
    27. Lorenzo Brunetta & Philippe Grégoire, 2005. "A General Purpose Algorithm for Three-Dimensional Packing," INFORMS Journal on Computing, INFORMS, vol. 17(3), pages 328-338, August.
    28. Mohanty, Bidhu B. & Mathur, Kamlesh & Ivancic, Nancy J., 1994. "Value considerations in three-dimensional packing -- A heuristic procedure using the fractional knapsack problem," European Journal of Operational Research, Elsevier, vol. 74(1), pages 143-151, April.
    29. Haessler, Robert W. & Brian Talbot, F., 1990. "Load planning for shipments of low density products," European Journal of Operational Research, Elsevier, vol. 44(2), pages 289-299, January.
    30. Wan-Yu Liu & Chun-Cheng Lin & Chang-Sung Yu, 2011. "On The Three-Dimensional Container Packing Problem Under Home Delivery Service," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 28(05), pages 601-621.
    31. F. Parreño & R. Alvarez-Valdes & J. M. Tamarit & J. F. Oliveira, 2008. "A Maximal-Space Algorithm for the Container Loading Problem," INFORMS Journal on Computing, INFORMS, vol. 20(3), pages 412-422, August.
    32. Manuel Iori & Silvano Martello, 2010. "Rejoinder on: Routing problems with loading constraints," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 18(1), pages 41-42, July.
    33. Bischoff, E. E. & Janetz, F. & Ratcliff, M. S. W., 1995. "Loading pallets with non-identical items," European Journal of Operational Research, Elsevier, vol. 84(3), pages 681-692, August.
    34. Bortfeldt, Andreas & Gehring, Hermann, 2001. "A hybrid genetic algorithm for the container loading problem," European Journal of Operational Research, Elsevier, vol. 131(1), pages 143-161, May.
    35. Terno, Johannes & Scheithauer, Guntram & Sommerwei[ss], Uta & Riehme, Jan, 2000. "An efficient approach for the multi-pallet loading problem," European Journal of Operational Research, Elsevier, vol. 123(2), pages 372-381, June.
    36. Chen, C. S. & Lee, S. M. & Shen, Q. S., 1995. "An analytical model for the container loading problem," European Journal of Operational Research, Elsevier, vol. 80(1), pages 68-76, January.
    37. H-L Li & J-F Tsai & N-Z Hu, 2003. "A distributed global optimization method for packing problems," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 54(4), pages 419-425, April.
    38. Jie Wang, 1999. "Packing of Unequal Spheres and Automated Radiosurgical Treatment Planning," Journal of Combinatorial Optimization, Springer, vol. 3(4), pages 453-463, December.
    39. Crainic, Teodor Gabriel & Perboli, Guido & Tadei, Roberto, 2009. "TS2PACK: A two-level tabu search for the three-dimensional bin packing problem," European Journal of Operational Research, Elsevier, vol. 195(3), pages 744-760, June.
    40. F. Parreño & R. Alvarez-Valdes & J. Oliveira & J. Tamarit, 2010. "A hybrid GRASP/VND algorithm for two- and three-dimensional bin packing," Annals of Operations Research, Springer, vol. 179(1), pages 203-220, September.
    41. Teodor Gabriel Crainic & Guido Perboli & Roberto Tadei, 2008. "Extreme Point-Based Heuristics for Three-Dimensional Bin Packing," INFORMS Journal on Computing, INFORMS, vol. 20(3), pages 368-384, August.
    42. Silvano Martello & David Pisinger & Daniele Vigo, 2000. "The Three-Dimensional Bin Packing Problem," Operations Research, INFORMS, vol. 48(2), pages 256-267, April.
    43. Oluf Faroe & David Pisinger & Martin Zachariasen, 2003. "Guided Local Search for the Three-Dimensional Bin-Packing Problem," INFORMS Journal on Computing, INFORMS, vol. 15(3), pages 267-283, August.
    44. 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.
    45. Davies, A. Paul & Bischoff, Eberhard E., 1999. "Weight distribution considerations in container loading," European Journal of Operational Research, Elsevier, vol. 114(3), pages 509-527, May.
    46. Bortfeldt, Andreas & Mack, Daniel, 2007. "A heuristic for the three-dimensional strip packing problem," European Journal of Operational Research, Elsevier, vol. 183(3), pages 1267-1279, December.
    47. Huang, Wenqi & He, Kun, 2009. "A caving degree approach for the single container loading problem," European Journal of Operational Research, Elsevier, vol. 196(1), pages 93-101, July.
    48. 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.
    49. A. Sutou & Y. Dai, 2002. "Global Optimization Approach to Unequal Global Optimization Approach to Unequal Sphere Packing Problems in 3D," Journal of Optimization Theory and Applications, Springer, vol. 114(3), pages 671-694, September.
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