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Design of a class-based order picking system with stochastic demands and priority consideration

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  • Jingming Liu

    (Hebei University of Technology)

  • Haitao Liao

    (University of Arkansas)

  • John A. White

    (University of Arkansas)

Abstract

An MIAPP-NALT system is an order picking system in which cases are picked at multiple in-the-aisle pick positions (MIAPP) and storage and retrieval operations are performed by a narrow aisle lift truck (NALT). In this paper, the operation of such a system involving three classes of stock keeping units with random demands for storage and retrieval operations is modeled as an M/G/1 queue, where “customers” are storage and retrieval requests, the “server” is the NALT, and retrieval requests have non-preemptive priority over storage requests. Our goal is to explore a methodology and solution method to obtain the optimal layout design of a class-based MIAPP-NALT system with stochastic demands and priority service. To this end, an operation time model of the system is developed and the first two moments for the operation time are derived. To overcome the challenge in finding the desired optimal layout, a near-optimal layout obtained via a heuristic approach is obtained at first and is improved afterwards. Based on the optimal layout, some valuable queueing results demonstrate the benefit of using a priority-based discipline. Moreover, some useful insights regarding the selection of dedicated versus random storage policies are obtained.

Suggested Citation

  • Jingming Liu & Haitao Liao & John A. White, 2023. "Design of a class-based order picking system with stochastic demands and priority consideration," Annals of Operations Research, Springer, vol. 331(2), pages 923-962, December.
    • Handle: RePEc:spr:annopr:v:331:y:2023:i:2:d:10.1007_s10479-022-05107-2
    DOI: 10.1007/s10479-022-05107-2
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    References listed on IDEAS

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    1. Jingming Liu & Haitao Liao & John A. White, 2021. "Queueing analysis of the replenishment of multiple in-the-aisle pick positions," IISE Transactions, Taylor & Francis Journals, vol. 53(1), pages 1-20, January.
    2. Miyagawa, Masashi, 2010. "Distributions of rectilinear deviation distance to visit a facility," European Journal of Operational Research, Elsevier, vol. 205(1), pages 106-112, August.
    3. Ngoc Anh Dung Do & Izabela Ewa Nielsen & Gang Chen & Peter Nielsen, 2016. "A simulation-based genetic algorithm approach for reducing emissions from import container pick-up operation at container terminal," Annals of Operations Research, Springer, vol. 242(2), pages 285-301, July.
    4. 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.
    5. Yavuz A. Bozer & John A. White, 1990. "Design and Performance Models for End-of-Aisle Order Picking Systems," Management Science, INFORMS, vol. 36(7), pages 852-866, July.
    6. 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.
    7. 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.
    8. Nima Zaerpour & Yugang Yu & René B.M. de Koster, 2017. "Optimal two-class-based storage in a live-cube compact storage system," IISE Transactions, Taylor & Francis Journals, vol. 49(7), pages 653-668, July.
    9. Giuseppe Fragapane & Dmitry Ivanov & Mirco Peron & Fabio Sgarbossa & Jan Ola Strandhagen, 2022. "Increasing flexibility and productivity in Industry 4.0 production networks with autonomous mobile robots and smart intralogistics," Annals of Operations Research, Springer, vol. 308(1), pages 125-143, January.
    10. Nima Zaerpour & Yugang Yu & René B. M. de Koster, 2017. "Response time analysis of a live-cube compact storage system with two storage classes," IISE Transactions, Taylor & Francis Journals, vol. 49(5), pages 461-480, May.
    11. Kun Wang & Yiming Yang & Ruixue Li, 2020. "Travel time models for the rack-moving mobile robot system," International Journal of Production Research, Taylor & Francis Journals, vol. 58(14), pages 4367-4385, July.
    12. Faraz Ramtin & Jennifer A. Pazour, 2014. "Analytical models for an automated storage and retrieval system with multiple in-the-aisle pick positions," IISE Transactions, Taylor & Francis Journals, vol. 46(9), pages 968-986, September.
    13. 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.
    14. Parikh, Pratik J. & Meller, Russell D., 2010. "A travel-time model for a person-onboard order picking system," European Journal of Operational Research, Elsevier, vol. 200(2), pages 385-394, January.
    15. J. Smith, 2015. "Optimal workload allocation in closed queueing networks with state dependent queues," Annals of Operations Research, Springer, vol. 231(1), pages 157-183, August.
    16. Mehran Tamjidy & Shahla Paslar & B.T. Hang Tuah Baharudin & Tang Sai Hong & M.K.A. Ariffin, 2015. "Biogeography based optimization (BBO) algorithm to minimise non-productive time during hole-making process," International Journal of Production Research, Taylor & Francis Journals, vol. 53(6), pages 1880-1894, March.
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