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The parallel stack loading problem to minimize blockages

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  • Boysen, Nils
  • Emde, Simon

Abstract

This paper treats an elementary optimization problem, which arises whenever an inbound stream of items is to be intermediately stored in a given number of parallel stacks, so that blockages during their later retrieval are avoided. A blockage occurs whenever an item to be retrieved earlier is blocked by another item with lower priority stored on top of it in the same stack. Our stack loading problem arises, for instance, if containers arriving by vessel are intermediately stored in a container yard of a port or if, during nighttime, successively arriving wagons are to be parked in multiple parallel dead-end rail tracks of a tram depot. We formalize the resulting basic stack loading problem, investigate its computational complexity, and present suited exact and heuristic solution procedures.

Suggested Citation

  • 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.
  • Handle: RePEc:eee:ejores:v:249:y:2016:i:2:p:618-627
    DOI: 10.1016/j.ejor.2015.09.033
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    References listed on IDEAS

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    1. 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.
    2. 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.
    3. repec:spr:compst:v:49:y:1999:i:1:p:137-148 is not listed on IDEAS
    4. 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.
    5. Zhang, Canrong & Chen, Weiwei & Shi, Leyuan & Zheng, Li, 2010. "A note on deriving decision rules to locate export containers in container yards," European Journal of Operational Research, Elsevier, vol. 205(2), pages 483-485, September.
    6. Ulrich Blasum & Michael R. Bussieck & Winfried Hochstättler & Christoph Moll & Hans-Helmut Scheel & Thomas Winter, 1999. "Scheduling trams in the morning," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 49(1), pages 137-148, March.
    7. Zapfel, Gunther & Wasner, Michael, 2006. "Warehouse sequencing in the steel supply chain as a generalized job shop model," International Journal of Production Economics, Elsevier, vol. 104(2), pages 482-501, December.
    8. Boysen, Nils & Scholl, Armin & Wopperer, Nico, 2012. "Resequencing of mixed-model assembly lines: Survey and research agenda," European Journal of Operational Research, Elsevier, vol. 216(3), pages 594-604.
    9. Bortfeldt, Andreas & Forster, Florian, 2012. "A tree search procedure for the container pre-marshalling problem," European Journal of Operational Research, Elsevier, vol. 217(3), pages 531-540.
    10. Boysen, Nils & Fliedner, Malte & Jaehn, Florian & Pesch, Erwin, 2012. "Shunting yard operations: Theoretical aspects and applications," European Journal of Operational Research, Elsevier, vol. 220(1), pages 1-14.
    11. Lee, Yusin & Chao, Shih-Liang, 2009. "A neighborhood search heuristic for pre-marshalling export containers," European Journal of Operational Research, Elsevier, vol. 196(2), pages 468-475, July.
    12. Demange, Marc & Ekim, TInaz & de Werra, Dominique, 2009. "A tutorial on the use of graph coloring for some problems in robotics," European Journal of Operational Research, Elsevier, vol. 192(1), pages 41-55, January.
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    1. repec:eee:ejores:v:267:y:2018:i:3:p:977-995 is not listed on IDEAS
    2. Gharehgozli, Amir Hossein & Vernooij, Floris Gerardus & Zaerpour, Nima, 2017. "A simulation study of the performance of twin automated stacking cranes at a seaport container terminal," European Journal of Operational Research, Elsevier, vol. 261(1), pages 108-128.

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