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A comparative study of order batching algorithms

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  • 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
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    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. 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.
    5. Maniezzo, Vittorio & Boschetti, Marco A. & Gutjahr, Walter J., 2021. "Stochastic premarshalling of block stacking warehouses," Omega, Elsevier, vol. 102(C).
    6. 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.
    7. 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.
    8. 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.
    9. 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.
    10. 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.
    11. 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.
    12. 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.
    13. 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.
    14. 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.
    15. 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.
    16. 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.

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