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A fast simulated annealing method for batching precedence-constrained customer orders in a warehouse

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  • Matusiak, Marek
  • de Koster, René
  • Kroon, Leo
  • Saarinen, Jari

Abstract

Batching customer orders in a warehouse can result in considerable savings in order pickers’ travel distances. Many picker-to-parts warehouses have precedence constraints in picking a customer order. In this paper a joint order-batching and picker routing method is introduced to solve this combined precedence-constrained routing and order-batching problem. It consists of two sub-algorithms: an optimal A∗-algorithm for the routing; and a simulated annealing algorithm for the batching which estimates the savings gained from batching more than two customer orders to avoid unnecessary routing. For batches of three customer orders, the introduced algorithm produces results with an error of less than 1.2% compared to the optimal solution. It also compares well to other heuristics from literature. A data set from a large Finnish order picking warehouse is rerouted and rebatched resulting in savings of over 5000kilometres or 16% in travel distance in 3months compared to the current method.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:ejores:v:236:y:2014:i:3:p:968-977
    DOI: 10.1016/j.ejor.2013.06.001
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    1. Harilaos N. Psaraftis, 1980. "A Dynamic Programming Solution to the Single Vehicle Many-to-Many Immediate Request Dial-a-Ride Problem," Transportation Science, INFORMS, vol. 14(2), pages 130-154, May.
    2. G. Clarke & J. W. Wright, 1964. "Scheduling of Vehicles from a Central Depot to a Number of Delivery Points," Operations Research, INFORMS, vol. 12(4), pages 568-581, August.
    3. Harilaos N. Psaraftis, 1980. "A Dynamic Programming Approach for Sequencing Groups of Identical Jobs," Operations Research, INFORMS, vol. 28(6), pages 1347-1359, December.
    4. Psaraftis, Harilaos N., 1983. "Analysis of an O(N2) heuristic for the single vehicle many-to-many Euclidean dial-a-ride problem," Transportation Research Part B: Methodological, Elsevier, vol. 17(2), pages 133-145, April.
    5. 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.
    6. 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.
    7. Hsieh, Ling-Feng & Huang, Yi-Chen, 2011. "New batch construction heuristics to optimise the performance of order picking systems," International Journal of Production Economics, Elsevier, vol. 131(2), pages 618-630, June.
    8. Harilaos N. Psaraftis, 1983. "An Exact Algorithm for the Single Vehicle Many-to-Many Dial-A-Ride Problem with Time Windows," Transportation Science, INFORMS, vol. 17(3), pages 351-357, August.
    9. 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.
    10. 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.
    11. 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.
    12. Escudero, L. F., 1988. "An inexact algorithm for the sequential ordering problem," European Journal of Operational Research, Elsevier, vol. 37(2), pages 236-249, November.
    13. 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.
    14. Helsgaun, Keld, 2000. "An effective implementation of the Lin-Kernighan traveling salesman heuristic," European Journal of Operational Research, Elsevier, vol. 126(1), pages 106-130, October.
    15. 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.
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