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Travel Time Estimation and Order Barching in a 2-Block Warehouse

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Listed:
  • Le-Duc, T.
  • de Koster, M.B.M.

Abstract

The order batching problem (OBP) is the problem of determining the number of orders to be picked together in one picking tour. Although various objectives may arise in practice, minimizing the average throughput time of a random order is a common concern. In this paper, we consider the OBP for a 2-block rectangular warehouse with the assumptions that orders arrive according to a Poisson process and the method used for routing the order-pickers is the well-known S-shape heuristic. We first elaborate on the first and second moment of the order-picker's travel time. Then we use these moments to estimate the average throughput time of a random order. This enables us to estimate the optimal picking batch size. Results from simulation show that the method provides a high accuracy level. Furthermore, the method is rather simple and can be easily applied in practice.

Suggested Citation

  • 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.
    • Handle: RePEc:ems:eureri:1810
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    References listed on IDEAS

    as
    1. Gibson, David R. & Sharp, Gunter P., 1992. "Order batching procedures," European Journal of Operational Research, Elsevier, vol. 58(1), pages 57-67, April.
    2. Le-Duc, T. & de Koster, M.B.M., 2002. "Determining The Optimal Order Picking Batch Size In Single Aisle Warehouses," ERIM Report Series Research in Management ERS-2002-64-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.
    3. 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.
    4. Chew, Ek Peng & Tang, Loon Ching, 1999. "Travel time analysis for general item location assignment in a rectangular warehouse," European Journal of Operational Research, Elsevier, vol. 112(3), pages 582-597, February.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    batch service queue; keywords logistics; order batching; order picking; warehousing;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • 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

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