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Stochastic models for unit-load operations in warehouse systems with autonomous vehicles

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Listed:
  • Debjit Roy
  • Ananth Krishnamurthy
  • Sunderesh Heragu
  • Charles Malmborg

Abstract

This paper presents stochastic models for multi-tier warehouse systems that handle unit load transactions using autonomous vehicle-based technology. In this system, self-powered autonomous vehicles carry out unit-load transactions by moving along rails within a tier and using lifts or conveyors for vertical movement between tiers. We develop semi-open queuing network models to evaluate congestion effects in processing storage and retrieval transactions in this system. The queuing network is evaluated using a decomposition-based approach. The queuing model provides design insights on the effect of vehicle interference and vertical transfer mechanism on various system performance measures of interest. Insights from such studies can be especially useful during the conceptualization stage of warehouses that use autonomous vehicle technology. Copyright Springer Science+Business Media New York 2015

Suggested Citation

  • Debjit Roy & Ananth Krishnamurthy & Sunderesh Heragu & Charles Malmborg, 2015. "Stochastic models for unit-load operations in warehouse systems with autonomous vehicles," Annals of Operations Research, Springer, vol. 231(1), pages 129-155, August.
    • Handle: RePEc:spr:annopr:v:231:y:2015:i:1:p:129-155:10.1007/s10479-014-1665-8
    DOI: 10.1007/s10479-014-1665-8
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    References listed on IDEAS

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    1. 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.
    2. 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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    Citations

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    Cited by:

    1. Yue Liu & Jijian Zhang & Xuhui Ding & Xiling Zhang, 2023. "Intervene in advance or passively? Analysis and application on congestion control of smart grid," Annals of Operations Research, Springer, vol. 320(2), pages 887-899, January.
    2. Shivam Gupta & Sachin Modgil & Samadrita Bhattacharyya & Indranil Bose, 2022. "Artificial intelligence for decision support systems in the field of operations research: review and future scope of research," Annals of Operations Research, Springer, vol. 308(1), pages 215-274, January.
    3. 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.
    4. Chung, Sai-Ho, 2021. "Applications of smart technologies in logistics and transport: A review," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 153(C).
    5. Lamballais, T. & Roy, D. & de Koster, M.B.M., 2017. "Inventory Allocation in Robotic Mobile Fulfillment Systems," ERIM Report Series Research in Management ERS-2017-001-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.
    6. Amjath, Mohamed & Kerbache, Laoucine & Smith, James MacGregor & Elomri, Adel, 2022. "Fleet sizing of trucks for an inter-facility material handling system using closed queueing networks," Operations Research Perspectives, Elsevier, vol. 9(C).
    7. 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.
    8. Dhingra, Vibhuti & Kumawat, Govind Lal & Roy, Debjit & Koster, René de, 2018. "Solving semi-open queuing networks with time-varying arrivals: An application in container terminal landside operations," European Journal of Operational Research, Elsevier, vol. 267(3), pages 855-876.
    9. Budhi S. Wibowo & Jan C. Fransoo, 2023. "Performance analysis of a drop-swap terminal to mitigate truck congestion at chemical sites," Flexible Services and Manufacturing Journal, Springer, vol. 35(2), pages 416-454, June.

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