IDEAS home Printed from https://ideas.repec.org/p/ems/eureri/10180.html
   My bibliography  Save this paper

Optimal Zone Boundaries for Two-class-based Compact 3D AS/RS

Author

Listed:
  • Yu, Y.
  • de Koster, M.B.M.

Abstract

Compact, multi-deep (3D), Automated Storage and Retrieval Systems (AS/RS) are becoming more common, due to new technologies, lower investment costs, time efficiency and compact size. Decision-making research on these systems is still in its infancy. We study a particular compact system with rotating conveyors for the depth movement and a Storage/Retrieval (S/R) machine for the horizontal and vertical movement of unit loads. We determine the optimal storage zone boundaries for such systems with two product classes: high and low turnover, by minimizing the expected Storage/Retrieval (S/R) machine travel time. We propose a mixed-integer nonlinear programming model to determine the zone boundaries. A decomposition algorithm and a one dimensional search scheme are developed to solve the model. The algorithm is complex, but the results are appealing since most of them are in closed-form and easy to apply to optimally layout the 3D AS/RS rack. The results are compared with those under random storage, and show that a significant reduction of the machine travel time can be obtained. Finally, a practical example is studied to demonstrate the use and validate our findings.

Suggested Citation

  • Yu, Y. & de Koster, M.B.M., 2007. "Optimal Zone Boundaries for Two-class-based Compact 3D AS/RS," ERIM Report Series Research in Management ERS-2007-034-LIS, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
    • Handle: RePEc:ems:eureri:10180
    as

    Download full text from publisher

    File URL: https://repub.eur.nl/pub/10180/ERS-2007-034-LIS.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Carl Kallina & Jeffrey Lynn, 1976. "Application of the Cube-Per-Order Index Rule for Stock Location in a Distribution Warehouse," Interfaces, INFORMS, vol. 7(1), pages 37-46, November.
    2. Meir J. Rosenblatt & Amit Eynan, 1989. "Note---Deriving the Optimal Boundaries for Class-Based Automatic Storage/Retrieval Systems," Management Science, INFORMS, vol. 35(12), pages 1519-1524, December.
    3. Robert A. Ruben & F. Robert Jacobs, 1999. "Batch Construction Heuristics and Storage Assignment Strategies for Walk/Ride and Pick Systems," Management Science, INFORMS, vol. 45(4), pages 575-596, April.
    4. Ulrich W. Thonemann & Margaret L. Brandeau, 1998. "Note. Optimal Storage Assignment Policies for Automated Storage and Retrieval Systems with Stochastic Demands," Management Science, INFORMS, vol. 44(1), pages 142-148, January.
    5. Warren H. Hausman & Leroy B. Schwarz & Stephen C. Graves, 1976. "Optimal Storage Assignment in Automatic Warehousing Systems," Management Science, INFORMS, vol. 22(6), pages 629-638, February.
    6. Le-Duc, T. & de Koster, M.B.M. & Yu, Y., 2006. "Optimal Storage Rack Design for a 3-dimensional Compact AS/RS," ERIM Report Series Research in Management ERS-2006-027-LIS, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. de Koster, Rene & Le-Duc, Tho & Roodbergen, Kees Jan, 2007. "Design and control of warehouse order picking: A literature review," European Journal of Operational Research, Elsevier, vol. 182(2), pages 481-501, October.
    2. Gu, Jinxiang & Goetschalckx, Marc & McGinnis, Leon F., 2010. "Research on warehouse design and performance evaluation: A comprehensive review," European Journal of Operational Research, Elsevier, vol. 203(3), pages 539-549, June.
    3. Gu, Jinxiang & Goetschalckx, Marc & McGinnis, Leon F., 2007. "Research on warehouse operation: A comprehensive review," European Journal of Operational Research, Elsevier, vol. 177(1), pages 1-21, February.
    4. Marcus Ang & Yun Fong Lim & Melvyn Sim, 2012. "Robust Storage Assignment in Unit-Load Warehouses," Management Science, INFORMS, vol. 58(11), pages 2114-2130, November.
    5. Yu, Y. & de Koster, M.B.M., 2009. "On the Suboptimality of Full Turnover-Based Storage," ERIM Report Series Research in Management ERS-2009-051-LIS, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
    6. Subir S. Rao & Gajendra K. Adil, 2017. "Analytical models for a new turnover-based hybrid storage policy in unit-load warehouses," International Journal of Production Research, Taylor & Francis Journals, vol. 55(2), pages 327-346, January.
    7. 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.
    8. de Koster, M.B.M. & Le-Duc, T. & Roodbergen, K.J., 2006. "Design and Control of Warehouse Order Picking: a literature review," ERIM Report Series Research in Management ERS-2006-005-LIS, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
    9. Roodbergen, Kees Jan & Vis, Iris F.A., 2009. "A survey of literature on automated storage and retrieval systems," European Journal of Operational Research, Elsevier, vol. 194(2), pages 343-362, April.
    10. Ang, Marcus & Lim, Yun Fong, 2019. "How to optimize storage classes in a unit-load warehouse," European Journal of Operational Research, Elsevier, vol. 278(1), pages 186-201.
    11. Berg, J. P. van den & Zijm, W. H. M., 1999. "Models for warehouse management: Classification and examples," International Journal of Production Economics, Elsevier, vol. 59(1-3), pages 519-528, March.
    12. Le-Duc, T. & de Koster, M.B.M. & Yu, Y., 2006. "Optimal Storage Rack Design for a 3-dimensional Compact AS/RS," ERIM Report Series Research in Management ERS-2006-027-LIS, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
    13. Azadeh, K. & de Koster, M.B.M. & Roy, D., 2017. "Robotized Warehouse Systems: Developments and Research Opportunities," ERIM Report Series Research in Management ERS-2017-009-LIS, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
    14. Bortolini, Marco & Faccio, Maurizio & Gamberi, Mauro & Manzini, Riccardo, 2015. "Diagonal cross-aisles in unit load warehouses to increase handling performance," International Journal of Production Economics, Elsevier, vol. 170(PC), pages 838-849.
    15. Muppani (Muppant), Venkata Reddy & Adil, Gajendra Kumar, 2008. "Efficient formation of storage classes for warehouse storage location assignment: A simulated annealing approach," Omega, Elsevier, vol. 36(4), pages 609-618, August.
    16. Tian Liu & Xianhao Xu & Hu Qin & Andrew Lim, 2016. "Travel time analysis of the dual command cycle in the split-platform AS/RS with I/O dwell point policy," Flexible Services and Manufacturing Journal, Springer, vol. 28(3), pages 442-460, September.
    17. Chen, Gang & Feng, Haolin & Luo, Kaiyi & Tang, Yanli, 2021. "Retrieval-oriented storage relocation optimization of an automated storage and retrieval system," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 155(C).
    18. Yu, Y. & de Koster, M.B.M., 2006. "Optimal Storage Rack Design for a 3D Compact AS/RS with Full Turnover-Based Storage," ERIM Report Series Research in Management ERS-2006-026-LIS, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
    19. Muppani (Muppant), Venkata Reddy & Adil, Gajendra Kumar, 2008. "A branch and bound algorithm for class based storage location assignment," European Journal of Operational Research, Elsevier, vol. 189(2), pages 492-507, September.
    20. Rouwenhorst, B. & Reuter, B. & Stockrahm, V. & van Houtum, G. J. & Mantel, R. J. & Zijm, W. H. M., 2000. "Warehouse design and control: Framework and literature review," European Journal of Operational Research, Elsevier, vol. 122(3), pages 515-533, May.

    More about this item

    Keywords

    AS/RS; Class-based storage; Order picking; Storage rack design; Travel time model;
    All these keywords.

    JEL classification:

    • M - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics
    • M11 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Business Administration - - - Production Management
    • R4 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - Transportation Economics

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:ems:eureri:10180. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: RePub (email available below). General contact details of provider: https://edirc.repec.org/data/erimanl.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.