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Modeling parallel movement of lifts and vehicles in tier-captive vehicle-based warehousing systems

Author

Listed:
  • Bipan Zou

    (EM - EMLyon Business School)

  • Xianhao Xu
  • Yeming Gong
  • René de Koster

Abstract

This paper models and analyzes tier-captive autonomous vehicle storage and retrieval systems. While previous models assume sequential commissioning of the lift and vehicles, we propose a parallel processing policy for the system, under which an arrival transaction can request the lift and the vehicle simultaneously. To investigate the performance of this policy, we formulate a fork-join queueing network in which an arrival transaction will be split into a horizontal movement task served by the vehicle and a vertical movement task served by the lift. We develop an approximation method based on decomposition of the fork-join queueing network to estimate the system performance. We build simulation models to validate the effectiveness of analytical models. The results show that the fork-join queueing network is accurate in estimating the system performance under the parallel processing policy. Numerical experiments and a real case are carried out to compare the system response time of retrieval transactions under parallel and sequential processing policies. The results show that, in systems with less than 10 tiers, the parallel processing policy outperforms the sequential processing policy by at least 5.51%. The advantage of parallel processing policy is decreasing with the rack height and the aisle length. In systems with more than 10 tiers and a length to height ratio larger than 7, we can find a critical retrieval transaction arrival rate, below which the parallel processing policy outperforms the sequential processing policy.

Suggested Citation

  • Bipan Zou & Xianhao Xu & Yeming Gong & René de Koster, 2016. "Modeling parallel movement of lifts and vehicles in tier-captive vehicle-based warehousing systems," Post-Print hal-01892897, HAL.
  • Handle: RePEc:hal:journl:hal-01892897
    Note: View the original document on HAL open archive server: https://hal.science/hal-01892897
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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. Xiao Cai & Sunderesh S. Heragu & Yang Liu, 2014. "Modeling and evaluating the AVS/RS with tier-to-tier vehicles using a semi-open queueing network," IISE Transactions, Taylor & Francis Journals, vol. 46(9), pages 905-927, September.
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    4. Roy, Debjit & Krishnamurthy, Ananth & Heragu, Sunderesh & Malmborg, Charles, 2015. "Queuing models to analyze dwell-point and cross-aisle location in autonomous vehicle-based warehouse systems," European Journal of Operational Research, Elsevier, vol. 242(1), pages 72-87.
    5. 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.
    6. 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. Dong, Wenquan & Jin, Mingzhou, 2024. "Automated storage and retrieval system design with variant lane depths," European Journal of Operational Research, Elsevier, vol. 314(2), pages 630-646.
    2. Chen, Ran & Yang, Jingjing & Yu, Yugang & Guo, Xiaolong, 2023. "Retrieval request scheduling in a shuttle-based storage and retrieval system with two lifts," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 174(C).
    3. Yang, Jingjing & de Koster, René B.M. & Guo, Xiaolong & Yu, Yugang, 2023. "Scheduling shuttles in deep-lane shuttle-based storage systems," European Journal of Operational Research, Elsevier, vol. 308(2), pages 696-708.
    4. Bipan Zou & René De Koster & Xianhao Xu, 2018. "Operating Policies in Robotic Compact Storage and Retrieval Systems," Transportation Science, INFORMS, vol. 52(4), pages 788-811, August.
    5. Tappia, Elena & Roy, Debjit & Melacini, Marco & De Koster, René, 2019. "Integrated storage-order picking systems: Technology, performance models, and design insights," European Journal of Operational Research, Elsevier, vol. 274(3), pages 947-965.
    6. Wu, Guangmei & Xu, Xianhao & Gong, Yeming (Yale) & De Koster, René & Zou, Bipan, 2019. "Optimal design and planning for compact automated parking systems," European Journal of Operational Research, Elsevier, vol. 273(3), pages 948-967.
    7. Kaveh Azadeh & Debjit Roy & René De Koster, 2019. "Design, Modeling, and Analysis of Vertical Robotic Storage and Retrieval Systems," Transportation Science, INFORMS, vol. 53(5), pages 1213-1234, September.
    8. Carolina Gerini & Anna Sciomachen, 2019. "Evaluation of the flow of goods at a warehouse logistic department by Petri Nets," Flexible Services and Manufacturing Journal, Springer, vol. 31(2), pages 354-380, June.
    9. Liu, Tian & Gong, Yeming & De Koster, René B.M., 2018. "Travel time models for split-platform automated storage and retrieval systems," International Journal of Production Economics, Elsevier, vol. 197(C), pages 197-214.
    10. Kumawat, Govind Lal & Roy, Debjit & De Koster, René & Adan, Ivo, 2021. "Stochastic modeling of parallel process flows in intra-logistics systems: Applications in container terminals and compact storage systems," European Journal of Operational Research, Elsevier, vol. 290(1), pages 159-176.
    11. Yanyan Wang & Jinning Qin & Shandong Mou & Ke Huang & Xiaofeng Zhao, 2023. "DSS approach for sustainable system design of shuttle-based storage and retrieval systems," Flexible Services and Manufacturing Journal, Springer, vol. 35(3), pages 698-726, September.
    12. Bipan Zou & Yeming (Yale) Gong & Xianhao Xu & Zhe Yuan, 2017. "Assignment rules in robotic mobile fulfilment systems for online retailers," International Journal of Production Research, Taylor & Francis Journals, vol. 55(20), pages 6175-6192, October.
    13. Wenquan Dong & Mingzhou Jin & Yanyan Wang & Peter Kelle, 2021. "Retrieval scheduling in crane-based 3D automated retrieval and storage systems with shuttles," Annals of Operations Research, Springer, vol. 302(1), pages 111-135, July.
    14. Dong, Wenquan & Jin, Mingzhou, 2021. "Travel time models for tier-to-tier SBS/RS with different storage assignment policies and shuttle dispatching rules," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 155(C).
    15. Emilio Moretti & Elena Tappia & Martina Mauri & Marco Melacini, 2022. "A performance model for mobile robot-based part feeding systems to supermarkets," Flexible Services and Manufacturing Journal, Springer, vol. 34(3), pages 580-613, September.
    16. Kaveh Azadeh & René De Koster & Debjit Roy, 2019. "Robotized and Automated Warehouse Systems: Review and Recent Developments," Transportation Science, INFORMS, vol. 53(4), pages 917-945, July.

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