IDEAS home Printed from https://ideas.repec.org/a/eee/jomega/v23y1995i6p691-700.html
   My bibliography  Save this article

A comparative study of order batching algorithms

Author

Listed:
  • Pan, C-H.
  • Liu, S-Y.

Abstract

In a man-on-board storage and retrieval system, orders are combined into batches and each batch is processed in a tour of the storage/retrieval (S/R) machine. Batching policy determines the way to combine orders to form batches. Since batching is an NP-hard problem, heuristic algorithms have been proposed. The major steps of these algorithms include seed selection and addition of orders to a batch. This paper is a comparative study of order batching algorithms composed of four seed selection rules and four order addition rules for order batching problems. Together, they constitute 16 algorithms. In addition, another method, namely the SL (small and large) algorithm, is also considered. The performances of these algorithms are compared along the three dimensions of shape factor, capacity of the S/R machine, and storage assignment policy. The results indicate that the economic convex hull algorithm has the best performance.

Suggested Citation

  • Pan, C-H. & Liu, S-Y., 1995. "A comparative study of order batching algorithms," Omega, Elsevier, vol. 23(6), pages 691-700, December.
    • Handle: RePEc:eee:jomega:v:23:y:1995:i:6:p:691-700
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0305-0483(95)00038-0
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Hwang, Hark & Lee, Moon-Kyu, 1988. "Order batching algorithms for a man-on-board automated storage and retrieval system," Engineering Costs and Production Economics, Elsevier, vol. 13(4), pages 285-294, April.
    2. 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.
    3. Gibson, David R. & Sharp, Gunter P., 1992. "Order batching procedures," European Journal of Operational Research, Elsevier, vol. 58(1), pages 57-67, April.
    4. John J. Bartholdi, III & Loren K. Platzman, 1988. "Heuristics Based on Spacefilling Curves for Combinatorial Problems in Euclidean Space," Management Science, INFORMS, vol. 34(3), pages 291-305, March.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Pan, Jason Chao-Hsien & Shih, Po-Hsun & Wu, Ming-Hung, 2015. "Order batching in a pick-and-pass warehousing system with group genetic algorithm," Omega, Elsevier, vol. 57(PB), pages 238-248.
    2. Çağla Cergibozan & A. Serdar Tasan, 2019. "Order batching operations: an overview of classification, solution techniques, and future research," Journal of Intelligent Manufacturing, Springer, vol. 30(1), pages 335-349, January.
    3. Yu, M. & de Koster, M.B.M., 2007. "Performance Approximation and Design of Pick-and-Pass Order Picking Systems," ERIM Report Series Research in Management ERS-2007-082-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.
    4. 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.
    5. 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.
    6. Sören Koch & Gerhard Wäscher, 2016. "A grouping genetic algorithm for the Order Batching Problem in distribution warehouses," Journal of Business Economics, Springer, vol. 86(1), pages 131-153, January.
    7. Maniezzo, Vittorio & Boschetti, Marco A. & Gutjahr, Walter J., 2021. "Stochastic premarshalling of block stacking warehouses," Omega, Elsevier, vol. 102(C).
    8. 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.
    9. Sören Koch & Gerhard Wäscher, 2011. "A Grouping Genetic Algorithm for the Order Batching Problem in Distribution Warehouses," FEMM Working Papers 110026, Otto-von-Guericke University Magdeburg, Faculty of Economics and Management.
    10. Chen, Mu-Chen & Wu, Hsiao-Pin, 2005. "An association-based clustering approach to order batching considering customer demand patterns," Omega, Elsevier, vol. 33(4), pages 333-343, August.
    11. Hong, Soondo & Johnson, Andrew L. & Peters, Brett A., 2012. "Batch picking in narrow-aisle order picking systems with consideration for picker blocking," European Journal of Operational Research, Elsevier, vol. 221(3), pages 557-570.
    12. 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.
    13. Sergio Gil-Borrás & Eduardo G. Pardo & Antonio Alonso-Ayuso & Abraham Duarte, 2020. "GRASP with Variable Neighborhood Descent for the online order batching problem," Journal of Global Optimization, Springer, vol. 78(2), pages 295-325, October.
    14. Sebastian Henn & Gerhard Wäscher, 2010. "Tabu Search Heuristics for the Order Batching Problem in Manual Order Picking Systems," FEMM Working Papers 100007, Otto-von-Guericke University Magdeburg, Faculty of Economics and Management.
    15. Sebastian Henn & Sören Koch & Karl Doerner & Christine Strauss & Gerhard Wäscher, 2009. "Metaheuristics for the Order Batching Problem in Manual Order Picking Systems," FEMM Working Papers 09020, Otto-von-Guericke University Magdeburg, Faculty of Economics and Management.
    16. 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.

    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, 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.
    2. 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.
    3. 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.
    4. 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.
    5. Chen, Mu-Chen & Wu, Hsiao-Pin, 2005. "An association-based clustering approach to order batching considering customer demand patterns," Omega, Elsevier, vol. 33(4), pages 333-343, August.
    6. 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.
    7. 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.
    8. Laura Korbacher & Katrin Heßler & Stefan Irnich, 2023. "The Single Picker Routing Problem with Scattered Storage: Modeling and Evaluation of Routing and Storage Policies," Working Papers 2302, Gutenberg School of Management and Economics, Johannes Gutenberg-Universität Mainz.
    9. Le-Duc, T. & de Koster, M.B.M., 2005. "Determining Number of Zones in a Pick-and-pack Orderpicking System," ERIM Report Series Research in Management ERS-2005-029-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.
    10. 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.
    11. Kovács, András, 2011. "Optimizing the storage assignment in a warehouse served by milkrun logistics," International Journal of Production Economics, Elsevier, vol. 133(1), pages 312-318, September.
    12. Bitran, Gabriel R. & Hax, Arnoldo C. & Valor Sabatier, Josep., 1981. "Diagnostic analysis of inventory systems : a statistical approach," Working papers 1272-81., Massachusetts Institute of Technology (MIT), Sloan School of Management.
    13. Le-Duc, T. & de Koster, M.B.M., 2004. "Travel Time Estimation and Order Barching in a 2-Block Warehouse," ERIM Report Series Research in Management ERS-2004-098-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. Ashayeri, J. & Heuts, R.M.J. & Valkenburg, M.W.T. & Veraart, H. & Wilhelm, M.R., 2001. "A Gemoetrical Approach to Computing Expected Cycle Times for Class-Based Storage Layouts in AS/RS," Other publications TiSEM dc2aad9d-58c2-42be-9fc6-8, Tilburg University, School of Economics and Management.
    15. A. Scholz & G. Wäscher, 2017. "Order Batching and Picker Routing in manual order picking systems: the benefits of integrated routing," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 25(2), pages 491-520, June.
    16. Chen, Lu & Langevin, André & Riopel, Diane, 2011. "A tabu search algorithm for the relocation problem in a warehousing system," International Journal of Production Economics, Elsevier, vol. 129(1), pages 147-156, January.
    17. E A Silver, 2004. "An overview of heuristic solution methods," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 55(9), pages 936-956, September.
    18. 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.
    19. Bowerman, Robert & Hall, Brent & Calamai, Paul, 1995. "A multi-objective optimization approach to urban school bus routing: Formulation and solution method," Transportation Research Part A: Policy and Practice, Elsevier, vol. 29(2), pages 107-123, March.
    20. Silva, Allyson & Coelho, Leandro C. & Darvish, Maryam & Renaud, Jacques, 2020. "Integrating storage location and order picking problems in warehouse planning," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 140(C).

    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:eee:jomega:v:23:y:1995:i:6:p:691-700. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/wps/find/journaldescription.cws_home/375/description#description .

    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.