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Order batching using an approximation for the distance travelled by pickers

Author

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  • Arbex Valle, Cristiano
  • Beasley, John E

Abstract

In this paper we investigate the problem of order batching for picker routing. Our approach is applicable to warehouses (storage areas) arranged in the standard rectangular grid layout, so with parallel aisles and two or more cross-aisles. The motivation underlying our work is online grocery shopping in which orders may be composed of dozens of items. The approach presented directly addresses order batching, but uses a distance approximation to influence the batching of orders without directly addressing the routing problem.

Suggested Citation

  • Arbex Valle, Cristiano & Beasley, John E, 2020. "Order batching using an approximation for the distance travelled by pickers," European Journal of Operational Research, Elsevier, vol. 284(2), pages 460-484.
    • Handle: RePEc:eee:ejores:v:284:y:2020:i:2:p:460-484
    DOI: 10.1016/j.ejor.2020.01.022
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    1. Žulj, Ivan & Kramer, Sergej & Schneider, Michael, 2018. "A hybrid of adaptive large neighborhood search and tabu search for the order-batching problem," European Journal of Operational Research, Elsevier, vol. 264(2), pages 653-664.
    2. Thomas Chabot & Leandro C. Coelho & Jacques Renaud & Jean-François Côté, 2018. "Mathematical model, heuristics and exact method for order picking in narrow aisles," Journal of the Operational Research Society, Taylor & Francis Journals, vol. 69(8), pages 1242-1253, August.
    3. Thomas Chabot & Rahma Lahyani & Leandro C. Coelho & Jacques Renaud, 2017. "Order picking problems under weight, fragility and category constraints," International Journal of Production Research, Taylor & Francis Journals, vol. 55(21), pages 6361-6379, November.
    4. Matusiak, Marek & de Koster, René & Kroon, Leo & Saarinen, Jari, 2014. "A fast simulated annealing method for batching precedence-constrained customer orders in a warehouse," European Journal of Operational Research, Elsevier, vol. 236(3), pages 968-977.
    5. Cathy H.Y. Lam & K.L. Choy & G.T.S. Ho & C.K.M. Lee, 2014. "An order-picking operations system for managing the batching activities in a warehouse," International Journal of Systems Science, Taylor & Francis Journals, vol. 45(6), pages 1283-1295, June.
    6. Boysen, Nils & Briskorn, Dirk & Emde, Simon, 2017. "Sequencing of picking orders in mobile rack warehouses," European Journal of Operational Research, Elsevier, vol. 259(1), pages 293-307.
    7. Weidinger, Felix & Boysen, Nils & Schneider, Michael, 2019. "Picker routing in the mixed-shelves warehouses of e-commerce retailers," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 126182, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    8. 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.
    9. S. Lin & B. W. Kernighan, 1973. "An Effective Heuristic Algorithm for the Traveling-Salesman Problem," Operations Research, INFORMS, vol. 21(2), pages 498-516, April.
    10. Minfang Huang & Qiong Guo & Jing Liu & Xiaoxu Huang, 2018. "Mixed Model Assembly Line Scheduling Approach to Order Picking Problem in Online Supermarkets," Sustainability, MDPI, vol. 10(11), pages 1-16, October.
    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. Matusiak, Marek & de Koster, René & Saarinen, Jari, 2017. "Utilizing individual picker skills to improve order batching in a warehouse," European Journal of Operational Research, Elsevier, vol. 263(3), pages 888-899.
    13. van Gils, Teun & Ramaekers, Katrien & Braekers, Kris & Depaire, Benoît & Caris, An, 2018. "Increasing order picking efficiency by integrating storage, batching, zone picking, and routing policy decisions," International Journal of Production Economics, Elsevier, vol. 197(C), pages 243-261.
    14. De Santis, Roberta & Montanari, Roberto & Vignali, Giuseppe & Bottani, Eleonora, 2018. "An adapted ant colony optimization algorithm for the minimization of the travel distance of pickers in manual warehouses," European Journal of Operational Research, Elsevier, vol. 267(1), pages 120-137.
    15. Editors, 2014. "International Journal of Systems Science," International Journal of Systems Science, Taylor & Francis Journals, vol. 45(12), pages 1-1, December.
    16. Scholz, André & Henn, Sebastian & Stuhlmann, Meike & Wäscher, Gerhard, 2016. "A new mathematical programming formulation for the Single-Picker Routing Problem," European Journal of Operational Research, Elsevier, vol. 253(1), pages 68-84.
    17. Soondo Hong & Andrew Johnson & Brett Peters, 2012. "Large-scale order batching in parallel-aisle picking systems," IISE Transactions, Taylor & Francis Journals, vol. 44(2), pages 88-106.
    18. Weidinger, Felix & Boysen, Nils & Schneider, Michael, 2019. "Picker routing in the mixed-shelves warehouses of e-commerce retailers," European Journal of Operational Research, Elsevier, vol. 274(2), pages 501-515.
    19. H. Donald Ratliff & Arnon S. Rosenthal, 1983. "Order-Picking in a Rectangular Warehouse: A Solvable Case of the Traveling Salesman Problem," Operations Research, INFORMS, vol. 31(3), pages 507-521, June.
    20. Guastaroba, G. & Savelsbergh, M. & Speranza, M.G., 2017. "Adaptive Kernel Search: A heuristic for solving Mixed Integer linear Programs," European Journal of Operational Research, Elsevier, vol. 263(3), pages 789-804.
    21. Maria Albareda-Sambola & Antonio Alonso-Ayuso & Elisenda Molina & Clara Simón De Blas, 2009. "Variable Neighborhood Search For Order Batching In A Warehouse," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 26(05), pages 655-683.
    22. Roodbergen, Kees Jan & de Koster, Rene, 2001. "Routing order pickers in a warehouse with a middle aisle," European Journal of Operational Research, Elsevier, vol. 133(1), pages 32-43, August.
    23. Lu, Wenrong & McFarlane, Duncan & Giannikas, Vaggelis & Zhang, Quan, 2016. "An algorithm for dynamic order-picking in warehouse operations," European Journal of Operational Research, Elsevier, vol. 248(1), pages 107-122.
    24. van Gils, Teun & Ramaekers, Katrien & Caris, An & de Koster, René B.M., 2018. "Designing efficient order picking systems by combining planning problems: State-of-the-art classification and review," European Journal of Operational Research, Elsevier, vol. 267(1), pages 1-15.
    25. Henn, Sebastian & Wäscher, Gerhard, 2012. "Tabu search heuristics for the order batching problem in manual order picking systems," European Journal of Operational Research, Elsevier, vol. 222(3), pages 484-494.
    26. Valle, Cristiano Arbex & Beasley, John E. & da Cunha, Alexandre Salles, 2017. "Optimally solving the joint order batching and picker routing problem," European Journal of Operational Research, Elsevier, vol. 262(3), pages 817-834.
    27. Theys, Christophe & Bräysy, Olli & Dullaert, Wout & Raa, Birger, 2010. "Using a TSP heuristic for routing order pickers in warehouses," European Journal of Operational Research, Elsevier, vol. 200(3), pages 755-763, February.
    28. Hong, Soondo & Kim, Youngjoo, 2017. "A route-selecting order batching model with the S-shape routes in a parallel-aisle order picking system," European Journal of Operational Research, Elsevier, vol. 257(1), pages 185-196.
    29. Weidinger, Felix, 2018. "Picker routing in rectangular mixed shelves warehouses," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 126186, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    30. Melih Çelik & Haldun Süral, 2019. "Order picking in parallel-aisle warehouses with multiple blocks: complexity and a graph theory-based heuristic," International Journal of Production Research, Taylor & Francis Journals, vol. 57(3), pages 888-906, February.
    31. Boysen, Nils & Briskorn, Dirk & Emde, Simon, 2017. "Sequencing of picking orders in mobile rack warehouses," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 109729, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
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    Cited by:

    1. Pardo, Eduardo G. & Gil-Borrás, Sergio & Alonso-Ayuso, Antonio & Duarte, Abraham, 2024. "Order batching problems: Taxonomy and literature review," European Journal of Operational Research, Elsevier, vol. 313(1), pages 1-24.
    2. Jiang, Min & Huang, George Q., 2022. "Intralogistics synchronization in robotic forward-reserve warehouses for e-commerce last-mile delivery," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 158(C).
    3. Mar Vazquez-Noguerol & Jose A. Comesaña-Benavides & Sara Riveiro-Sanroman & J. Carlos Prado-Prado, 2022. "A mixed integer linear programming model to support e-fulfillment strategies in warehouse-based supermarket chains," 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. 30(4), pages 1369-1402, December.

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