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A travel-time model for a person-onboard order picking system

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  • Parikh, Pratik J.
  • Meller, Russell D.

Abstract

The design of an order picking system in a distribution center depends on several decisions, where a key decision is determining the optimal storage system configuration (the number, length, and height of the storage aisles). To make this decision, a throughput model that considers vertical, as well as horizontal, travel is needed. In this paper we extend prior research that considers horizontal travel for a given number and length of the storage aisles so that we are also able to consider the height of the aisles as well. Such a model will provide a more accurate estimate of the throughput of an order picker and it will also permit an examination of the tradeoff between the length and height of the aisles. The analytical model we develop to estimate throughput is based on probability models and order statistics results assuming random storage. It is intended for person-onboard order picking systems and we consider both Tchebychev and rectilinear travel. We illustrate the use of our travel-time model by incorporating it into a simple, cost-based optimization model to recommend the height of a one-pallet-deep storage system.

Suggested Citation

  • Parikh, Pratik J. & Meller, Russell D., 2010. "A travel-time model for a person-onboard order picking system," European Journal of Operational Research, Elsevier, vol. 200(2), pages 385-394, January.
    • Handle: RePEc:eee:ejores:v:200:y:2010:i:2:p:385-394
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    References listed on IDEAS

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    1. 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.
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    Cited by:

    1. Sainathuni, Bhanuteja & Parikh, Pratik J. & Zhang, Xinhui & Kong, Nan, 2014. "The warehouse-inventory-transportation problem for supply chains," European Journal of Operational Research, Elsevier, vol. 237(2), pages 690-700.
    2. Dijkstra, Arjan S. & Roodbergen, Kees Jan, 2017. "Exact route-length formulas and a storage location assignment heuristic for picker-to-parts warehouses," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 102(C), pages 38-59.
    3. Mowrey, Corinne H. & Parikh, Pratik J., 2014. "Mixed-width aisle configurations for order picking in distribution centers," European Journal of Operational Research, Elsevier, vol. 232(1), pages 87-97.
    4. Fangyu Chen & Gangyan Xu & Yongchang Wei, 2019. "An Integrated Metaheuristic Routing Method for Multiple-Block Warehouses with Ultranarrow Aisles and Access Restriction," Complexity, Hindawi, vol. 2019, pages 1-14, June.
    5. 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.
    6. Thomas, Lisa M. & Meller, Russell D., 2015. "Developing design guidelines for a case-picking warehouse," International Journal of Production Economics, Elsevier, vol. 170(PC), pages 741-762.
    7. Kateryna Czerniachowska & Radosław Wichniarek & Krzysztof Żywicki, 2023. "A Model for an Order-Picking Problem with a One-Directional Conveyor and Buffer," Sustainability, MDPI, vol. 15(18), pages 1-18, September.
    8. Silva, Allyson & Roodbergen, Kees Jan & Coelho, Leandro C. & Darvish, Maryam, 2022. "Estimating optimal ABC zone sizes in manual warehouses," International Journal of Production Economics, Elsevier, vol. 252(C).
    9. 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.
    10. Cardona, Luis F. & Soto, Diego F. & Rivera, Leonardo & Martínez, Hector J., 2015. "Detailed design of fishbone warehouse layouts with vertical travel," International Journal of Production Economics, Elsevier, vol. 170(PC), pages 825-837.

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