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Order Picking Systems: A Queue Model for Dimensioning the Storage Capacity, the Crew of Pickers, and the AGV Fleet

Author

Listed:
  • Francesco Lolli
  • Francesco Lodi
  • Claudio Giberti
  • Antonio Maria Coruzzolo
  • Samuele Marinello
  • Muhammet Gul

Abstract

Designing an order picking system can be very complex, as several interrelated control variables are involved. We address the sizing of the storage capacity of the picking bay, the crew of pickers, and the AGV fleet, which are the most important variables from a tactical viewpoint in a parts-to-pickers system. Although order picking is a widely explored topic in the literature, no analytical model that can simultaneously deal with these variables is currently available. To bridge this gap, we introduce a queue model for Markovian processes, which enables us to jointly optimise the aforementioned control variables. A discrete-event simulation is then used to validate our model, and we then test our proposal with real data under different operative scenarios, with the aim of assessing the usefulness of the proposal in real settings.

Suggested Citation

  • Francesco Lolli & Francesco Lodi & Claudio Giberti & Antonio Maria Coruzzolo & Samuele Marinello & Muhammet Gul, 2022. "Order Picking Systems: A Queue Model for Dimensioning the Storage Capacity, the Crew of Pickers, and the AGV Fleet," Mathematical Problems in Engineering, Hindawi, vol. 2022, pages 1-15, February.
    • Handle: RePEc:hin:jnlmpe:6318659
    DOI: 10.1155/2022/6318659
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    Cited by:

    1. Dragan Djurdjević & Nenad Bjelić & Dražen Popović & Milan Andrejić, 2022. "A Combined Dynamic Programming and Simulation Approach to the Sizing of the Low-Level Order-Picking Area," Mathematics, MDPI, vol. 10(20), pages 1-23, October.
    2. Antonio Maria Coruzzolo & Francesco Lolli & Elia Balugani & Elisa Magnani & Miguel Afonso Sellitto, 2023. "Order Picking Problem: A Model for the Joint Optimisation of Order Batching, Batch Assignment Sequencing, and Picking Routing," Logistics, MDPI, vol. 7(3), pages 1-18, September.
    3. Vasiliki Kapou & Stavros T. Ponis & George Plakas & Eleni Aretoulaki, 2022. "An Innovative Layout Design and Storage Assignment Method for Manual Order Picking with Respect to Ergonomic Criteria," Logistics, MDPI, vol. 6(4), pages 1-21, December.

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