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A note on picker blocking models in a parallel-aisle order picking system

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  • Soondo Hong
  • Andrew Johnson
  • Brett Peters

Abstract

This note develops analytical picker blocking models to simply and accurately assess picker blocking in parallel-aisle order picking systems when multiple picks occur at a pick point. The Markov chain--based models characterize the two bounding walking speeds for modeling picker movement: unit walk time and instantaneous walk time. The unit walk time model has a state-space transition matrix that is reduced by a factor of 16 for both narrow-aisle and wide-aisle systems. Additionally, the model improves upon the existing literature by providing a closed-form expression for the narrow-aisle system with instantaneous walk time. Experimental results are provided to demonstrate how picker blocking is influenced by pick density in a variety of scenarios under varying assumptions regarding the maximum number of picks at a pick point. These results broaden those previously presented in the literature, as well as demonstrate the improved efficiency of the proposed model.1

Suggested Citation

  • Soondo Hong & Andrew Johnson & Brett Peters, 2013. "A note on picker blocking models in a parallel-aisle order picking system," IISE Transactions, Taylor & Francis Journals, vol. 45(12), pages 1345-1355.
    • Handle: RePEc:taf:uiiexx:v:45:y:2013:i:12:p:1345-1355
    DOI: 10.1080/0740817X.2012.745204
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    Cited by:

    1. 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.
    2. Hong, Soondo & Johnson, Andrew L. & Peters, Brett A., 2015. "Quantifying picker blocking in a bucket brigade order picking system," International Journal of Production Economics, Elsevier, vol. 170(PC), pages 862-873.
    3. AERTS, Babiche & CORNELISSENS, Trijntje & SÖRENSEN, Kenneth, 2018. "The influence of e-commerce on the design of warehouses - a literature review," Working Papers 2018013, University of Antwerp, Faculty of Business and Economics.
    4. Hong, Soondo, 2014. "Two-worker blocking congestion model with walk speed m in a no-passing circular passage system," European Journal of Operational Research, Elsevier, vol. 235(3), pages 687-696.

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