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Throughput time distribution analysis for a one-block warehouse

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  • Schleyer, Marc
  • Gue, Kevin

Abstract

We develop discrete time models for the throughput time distribution of orders arriving to a one-block warehouse. The models accommodate single- or multi-line orders, and we show how to use them to determine the optimal batch size, given a desired probability of on-time order fulfillment. Experiments suggest that the optimal batch size is slightly higher than one would choose if minimizing average throughput time.

Suggested Citation

  • Schleyer, Marc & Gue, Kevin, 2012. "Throughput time distribution analysis for a one-block warehouse," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 48(3), pages 652-666.
    • Handle: RePEc:eee:transe:v:48:y:2012:i:3:p:652-666
    DOI: 10.1016/j.tre.2011.10.010
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    References listed on IDEAS

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    1. Winfried K. Grassmann & Joti L. Jain, 1989. "Numerical Solutions of the Waiting Time Distribution and Idle Time Distribution of the Arithmetic GI/G/1 Queue," Operations Research, INFORMS, vol. 37(1), pages 141-150, February.
    2. Van Nieuwenhuyse, Inneke & de Koster, René B.M., 2009. "Evaluating order throughput time in 2-block warehouses with time window batching," International Journal of Production Economics, Elsevier, vol. 121(2), pages 654-664, October.
    3. Le-Duc, Tho & de Koster, Rene M.B.M., 2007. "Travel time estimation and order batching in a 2-block warehouse," European Journal of Operational Research, Elsevier, vol. 176(1), pages 374-388, January.
    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.
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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. Justus Schwarz & Judith Stoll née Matzka & Eda Özden, 2015. "A general model for batch building processes under the timeout and capacity rules," Annals of Operations Research, Springer, vol. 231(1), pages 5-31, August.
    3. 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.
    4. Pan, Jason Chao-Hsien & Wu, Ming-Hung & Chang, Wen-Liang, 2014. "A travel time estimation model for a high-level picker-to-part system with class-based storage policies," European Journal of Operational Research, Elsevier, vol. 237(3), pages 1054-1066.
    5. Giannikas, Vaggelis & Lu, Wenrong & Robertson, Brian & McFarlane, Duncan, 2017. "An interventionist strategy for warehouse order picking: Evidence from two case studies," International Journal of Production Economics, Elsevier, vol. 189(C), pages 63-76.
    6. Erdem Çeven & Kevin R. Gue, 2017. "Optimal Wave Release Times for Order Fulfillment Systems with Deadlines," Transportation Science, INFORMS, vol. 51(1), pages 52-66, February.
    7. Yang, Peng & Miao, Lixin & Xue, Zhaojie & Ye, Bin, 2015. "Variable neighborhood search heuristic for storage location assignment and storage/retrieval scheduling under shared storage in multi-shuttle automated storage/retrieval systems," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 79(C), pages 164-177.
    8. Jiang, Min & Leung, K.H. & Lyu, Zhongyuan & Huang, George Q., 2020. "Picking-replenishment synchronization for robotic forward-reserve warehouses," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 144(C).
    9. Mohamed Amjath & Laoucine Kerbache & James MacGregor Smith, 2024. "A Closed Queueing Networks Approach for an Optimal Heterogeneous Fleet Size of an Inter-Facility Bulk Material Transfer System," Logistics, MDPI, vol. 8(1), pages 1-38, March.
    10. Lamballais, T. & Roy, D. & De Koster, M.B.M., 2017. "Estimating performance in a Robotic Mobile Fulfillment System," European Journal of Operational Research, Elsevier, vol. 256(3), pages 976-990.
    11. van Gils, Teun & Caris, An & Ramaekers, Katrien & Braekers, Kris & de Koster, René B.M., 2019. "Designing efficient order picking systems: The effect of real-life features on the relationship among planning problems," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 125(C), pages 47-73.

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