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Modeling, Analysis, and Design Insights for Shuttle-based Compact Storage Systems

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  • Tappia, E.
  • Roy, D.
  • de Koster, M.B.M.
  • Melacini, M.

Abstract

Shuttle-based compact systems are new automated multi-deep unit-load storage systems with lifts that promise both low operational cost and large volume flexibility. In this paper, we develop novel queuing network models to estimate the performance of both single-tier and multi-tier shuttle-based compact systems. Each tier is modeled as a multi-class semi- open queuing network, whereas the vertical transfer is modeled using an open queue. For a multi-tier system, the models corresponding to tiers and vertical transfer are linked together using the first and second moment information of the queue departure processes. The models can handle both specialized and generic shuttles, and both continuous and discrete lifts. The accuracy of the models is validated through both simulation and a real case. Errors are acceptable for conceptualizing initial designs. Numerical studies provide new design insights. Results show that the best way to minimize expected throughput time in single-tier systems is to have a depth/width ratio around 1.25. Moreover, specialized shuttles are recommended for multi-tier systems because the higher cost of generic shuttles is not balanced by savings in reduced throughput time and equipment needs.

Suggested Citation

  • Tappia, E. & Roy, D. & de Koster, M.B.M. & Melacini, M., 2015. "Modeling, Analysis, and Design Insights for Shuttle-based Compact Storage Systems," ERIM Report Series Research in Management ERS-2015-010-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:78379
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    References listed on IDEAS

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    1. Debjit Roy & Ananth Krishnamurthy & Sunderesh Heragu & Charles Malmborg, 2012. "Performance analysis and design trade-offs in warehouses with autonomous vehicle technology," IISE Transactions, Taylor & Francis Journals, vol. 44(12), pages 1045-1060.
    2. Fukunari, Miki & Malmborg, Charles J., 2009. "A network queuing approach for evaluation of performance measures in autonomous vehicle storage and retrieval systems," European Journal of Operational Research, Elsevier, vol. 193(1), pages 152-167, February.
    3. Li Zhang & Ananth Krishnamurthy & Charles J. Malmborg & Sunderesh S. Heragu, 2009. "Variance-based approximations of transaction waiting times in autonomous vehicle storage and retrieval systems," European Journal of Industrial Engineering, Inderscience Enterprises Ltd, vol. 3(2), pages 146-169.
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