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Puzzle‐based storage systems

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  • Kevin R. Gue
  • Byung Soo Kim

Abstract

We introduce and develop models for a physical goods storage system based on the 15‐puzzle, a classic children's game in which 15 numbered tiles slide within a 4 × 4 grid. The objective of the game is to arrange the tiles in numerical sequence, starting from a random arrangement. For our purposes, the tiles represent totes, pallets, or even containers that must be stored very densely, and the objective is to maneuver items to an input–output point for retrieval or processing. We develop analytical results for storage configurations having a single empty location (as in the game) and experimental results for configurations with multiple empty locations. Designs with many empty locations can be made to form aisles, allowing us to compare puzzle‐based designs with traditional aisle‐based designs found in warehousing systems. © 2007 Wiley Periodicals, Inc. Naval Research Logistics, 2007

Suggested Citation

  • Kevin R. Gue & Byung Soo Kim, 2007. "Puzzle‐based storage systems," Naval Research Logistics (NRL), John Wiley & Sons, vol. 54(5), pages 556-567, August.
    • Handle: RePEc:wly:navres:v:54:y:2007:i:5:p:556-567
    DOI: 10.1002/nav.20230
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    Cited by:

    1. Boysen, Nils & de Koster, René & Weidinger, Felix, 2019. "Warehousing in the e-commerce era: A survey," European Journal of Operational Research, Elsevier, vol. 277(2), pages 396-411.
    2. Nils Boysen & David Boywitz & Felix Weidinger, 2018. "Deep-lane storage of time-critical items: one-sided versus two-sided access," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 40(4), pages 1141-1170, October.
    3. Zhuxi Chen & Xiaoping Li & Jatinder N.D. Gupta, 2016. "Sequencing the storages and retrievals for flow-rack automated storage and retrieval systems with duration-of-stay storage policy," International Journal of Production Research, Taylor & Francis Journals, vol. 54(4), pages 984-998, February.
    4. Nima Zaerpour & Yugang Yu & René de Koster, 2017. "Small is Beautiful: A Framework for Evaluating and Optimizing Live-Cube Compact Storage Systems," Transportation Science, INFORMS, vol. 51(1), pages 34-51, February.
    5. He, Jing & Liu, Xinglu & Duan, Qiyao & Chan, Wai Kin (Victor) & Qi, Mingyao, 2023. "Reinforcement learning for multi-item retrieval in the puzzle-based storage system," European Journal of Operational Research, Elsevier, vol. 305(2), pages 820-837.
    6. MA, Yunfeng & CHEN, Haoxun & YU, Yugang, 2022. "An efficient heuristic for minimizing the number of moves for the retrieval of a single item in a puzzle-based storage system with multiple escorts," European Journal of Operational Research, Elsevier, vol. 301(1), pages 51-66.
    7. Boysen, Nils & de Koster, René & Füßler, David, 2021. "The forgotten sons: Warehousing systems for brick-and-mortar retail chains," European Journal of Operational Research, Elsevier, vol. 288(2), pages 361-381.
    8. Amir Hossein Gharehgozli & Yugang Yu & Xiandong Zhang & René de Koster, 2017. "Polynomial Time Algorithms to Minimize Total Travel Time in a Two-Depot Automated Storage/Retrieval System," Transportation Science, INFORMS, vol. 51(1), pages 19-33, February.
    9. Nima Zaerpour & Amir Gharehgozli & René De Koster, 2019. "Vertical Expansion: A Solution for Future Container Terminals," Transportation Science, INFORMS, vol. 53(5), pages 1235-1251, September.
    10. AERTS, Babiche & CORNELISSENS, Trijntje & SÖRENSEN, Kenneth, 2018. "The influence of e-commerce on the design of warehouses - a literature review," Working Papers 2018013, University of Antwerp, Faculty of Business and Economics.
    11. Fragapane, Giuseppe & de Koster, René & Sgarbossa, Fabio & Strandhagen, Jan Ola, 2021. "Planning and control of autonomous mobile robots for intralogistics: Literature review and research agenda," European Journal of Operational Research, Elsevier, vol. 294(2), pages 405-426.
    12. Elena Tappia & Debjit Roy & René de Koster & Marco Melacini, 2017. "Modeling, Analysis, and Design Insights for Shuttle-Based Compact Storage Systems," Transportation Science, INFORMS, vol. 51(1), pages 269-295, February.
    13. Bipan Zou & René De Koster & Xianhao Xu, 2018. "Operating Policies in Robotic Compact Storage and Retrieval Systems," Transportation Science, INFORMS, vol. 52(4), pages 788-811, August.
    14. Altan Yalcin & Achim Koberstein & Kai-Oliver Schocke, 2019. "Motion and layout planning in a grid-based early baggage storage system," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 41(3), pages 683-725, September.
    15. Raji Alahmad & Kazuo Ishii, 2021. "A Puzzle-Based Sequencing System for Logistics Items," Logistics, MDPI, vol. 5(4), pages 1-18, October.
    16. Wu, Guangmei & Xu, Xianhao & Gong, Yeming (Yale) & De Koster, René & Zou, Bipan, 2019. "Optimal design and planning for compact automated parking systems," European Journal of Operational Research, Elsevier, vol. 273(3), pages 948-967.
    17. Bukchin, Yossi & Raviv, Tal, 2022. "A comprehensive toolbox for load retrieval in puzzle-based storage systems with simultaneous movements," Transportation Research Part B: Methodological, Elsevier, vol. 166(C), pages 348-373.
    18. Bipan Zou & Yeming (Yale) Gong & Xianhao Xu & Zhe Yuan, 2017. "Assignment rules in robotic mobile fulfilment systems for online retailers," International Journal of Production Research, Taylor & Francis Journals, vol. 55(20), pages 6175-6192, October.
    19. Kaveh Azadeh & René De Koster & Debjit Roy, 2019. "Robotized and Automated Warehouse Systems: Review and Recent Developments," Transportation Science, INFORMS, vol. 53(4), pages 917-945, July.

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