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The role of energy consumption in robotic mobile fulfillment systems: Performance evaluation and operating policies with dynamic priority

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  • Chen, Wanying
  • Wu, Peng
  • Gong, Yeming
  • Zhang, Zhengmin
  • Wang, Kun

Abstract

The robotic mobile fulfillment system (RMFS), with wide application in warehousing and logistics, requires many robots powered by electricity, which significantly impacts energy consumption. This paper investigates the energy consumption in the RMFS under a classic e-business environment, which classifies the orders into regular orders and expedited orders. We evaluate the impact of three dynamic priority policies (the earliest deadline first policy, waiting time-dependent policy, and weighted waiting time first policy) on throughput time and energy consumption. This paper proposes multi-class semi-open queuing network models (SOQN) with dynamic priority policies to investigate energy consumption. We validate the accuracy of the analytical models by simulation models. This paper makes the following contributions: (1) In methodology, we propose new methods to solve the SOQN with dynamic priority policies. (2) In operational planning and control, we are among the earliest to investigate the impact of dynamic priority policies on order throughput time and energy consumption in an RMFS. (3) In design optimization, we propose a decision tool to optimize the robot number for realizing the required throughput time with minimal energy consumption. Our model can also decide the optimal warehouse shape to minimize energy consumption. (4) In system analysis, we estimate the energy consumption per transaction in an RMFS, providing logistics managers insights into energy saving of warehouses.

Suggested Citation

  • Chen, Wanying & Wu, Peng & Gong, Yeming & Zhang, Zhengmin & Wang, Kun, 2025. "The role of energy consumption in robotic mobile fulfillment systems: Performance evaluation and operating policies with dynamic priority," Omega, Elsevier, vol. 130(C).
  • Handle: RePEc:eee:jomega:v:130:y:2025:i:c:s0305048324001336
    DOI: 10.1016/j.omega.2024.103168
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    1. Adrien Rimélé & Michel Gamache & Michel Gendreau & Philippe Grangier & Louis-Martin Rousseau, 2022. "Robotic mobile fulfillment systems: a mathematical modelling framework for e-commerce applications," International Journal of Production Research, Taylor & Francis Journals, vol. 60(11), pages 3589-3605, June.
    2. Boysen, Nils & Briskorn, Dirk & Emde, Simon, 2017. "Parts-to-picker based order processing in a rack-moving mobile robots environment," European Journal of Operational Research, Elsevier, vol. 262(2), pages 550-562.
    3. Zou, Bipan & Xu, Xianhao & Gong, Yeming (Yale) & De Koster, René, 2018. "Evaluating battery charging and swapping strategies in a robotic mobile fulfillment system," European Journal of Operational Research, Elsevier, vol. 267(2), pages 733-753.
    4. Bortolini, Marco & Faccio, Maurizio & Ferrari, Emilio & Gamberi, Mauro & Pilati, Francesco, 2017. "Time and energy optimal unit-load assignment for automatic S/R warehouses," International Journal of Production Economics, Elsevier, vol. 190(C), pages 133-145.
    5. Roy, Debjit & Nigam, Shobhit & de Koster, René & Adan, Ivo & Resing, Jacques, 2019. "Robot-storage zone assignment strategies in mobile fulfillment systems," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 122(C), pages 119-142.
    6. Tim Lamballais Tessensohn & Debjit Roy & René B.M. De Koster, 2020. "Inventory allocation in robotic mobile fulfillment systems," IISE Transactions, Taylor & Francis Journals, vol. 52(1), pages 1-17, January.
    7. Ene, Seval & Küçükoğlu, İlker & Aksoy, Aslı & Öztürk, Nursel, 2016. "A genetic algorithm for minimizing energy consumption in warehouses," Energy, Elsevier, vol. 114(C), pages 973-980.
    8. Li, Na & Stanford, David A., 2016. "Multi-server accumulating priority queues with heterogeneous servers," European Journal of Operational Research, Elsevier, vol. 252(3), pages 866-878.
    9. Pan, Xingwei & Geng, Na & Xie, Xiaolan & Wen, Jing, 2020. "Managing appointments with waiting time targets and random walk-ins," Omega, Elsevier, vol. 95(C).
    10. Chen, Wanying & Gong, Yeming & Chen, Qi & Wang, Hongwei, 2024. "Does battery management matter? Performance evaluation and operating policies in a self-climbing robotic warehouse," European Journal of Operational Research, Elsevier, vol. 312(1), pages 164-181.
    11. Ronald Buitenhek & Geert‐Jan van Houtum & Henk Zijm, 2000. "AMVA‐based solution procedures for open queueing networks with population constraints," Annals of Operations Research, Springer, vol. 93(1), pages 15-40, January.
    12. Wyean Chan & Ger Koole & Pierre L'Ecuyer, 2014. "Dynamic Call Center Routing Policies Using Call Waiting and Agent Idle Times," Manufacturing & Service Operations Management, INFORMS, vol. 16(4), pages 544-560, October.
    13. Fahimnia, Behnam & Sarkis, Joseph & Eshragh, Ali, 2015. "A tradeoff model for green supply chain planning:A leanness-versus-greenness analysis," Omega, Elsevier, vol. 54(C), pages 173-190.
    14. Li, Xiaowei & Hua, Guowei & Huang, Anqiang & Sheu, Jiuh-Biing & Cheng, T.C.E. & Huang, Fengquan, 2020. "Storage assignment policy with awareness of energy consumption in the Kiva mobile fulfilment system," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 144(C).
    15. Rong Yuan & Stephen C. Graves & Tolga Cezik, 2019. "Velocity‐Based Storage Assignment in Semi‐Automated Storage Systems," Production and Operations Management, Production and Operations Management Society, vol. 28(2), pages 354-373, February.
    16. Roy, Debjit & van Ommeren, Jan-Kees & de Koster, René & Gharehgozli, Amir, 2022. "Modeling landside container terminal queues: Exact analysis and approximations," Transportation Research Part B: Methodological, Elsevier, vol. 162(C), pages 73-102.
    17. Na Li & David A. Stanford & Peter Taylor & Ilze Ziedins, 2017. "Nonlinear Accumulating Priority Queues with Equivalent Linear Proxies," Operations Research, INFORMS, vol. 65(6), pages 1712-1721, December.
    18. Zhuang, Yanling & Zhou, Yun & Hassini, Elkafi & Yuan, Yufei & Hu, Xiangpei, 2022. "Rack retrieval and repositioning optimization problem in robotic mobile fulfillment systems," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 167(C).
    19. 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.
    20. Sauré, Antoine & Begen, Mehmet A. & Patrick, Jonathan, 2020. "Dynamic multi-priority, multi-class patient scheduling with stochastic service times," European Journal of Operational Research, Elsevier, vol. 280(1), pages 254-265.
    21. Wanying Amanda Chen & Yeming Gong & Qi Chen & Hongwei Wang, 2024. "Does battery management matter? : Performance evaluation and operating policies in a self-climbing robotic warehouse," Post-Print hal-04337021, HAL.
    22. Zhe Yuan & Yeming Gong, 2017. "Bot-In-Time Delivery for Robotic Mobile Fulfillment Systems," Post-Print hal-02311982, HAL.
    23. Antonella Meneghetti & Luca Monti, 2015. "Greening the food supply chain: an optimisation model for sustainable design of refrigerated automated warehouses," International Journal of Production Research, Taylor & Francis Journals, vol. 53(21), pages 6567-6587, November.
    24. Paul Hahn-Woernle & Willibald A. Günthner, 2018. "Power-load management reduces energy-dependent costs of multi-aisle mini-load automated storage and retrieval systems," International Journal of Production Research, Taylor & Francis Journals, vol. 56(3), pages 1269-1285, February.
    25. Justkowiak, Jan-Erik & Pesch, Erwin, 2023. "A column generation driven heuristic for order-scheduling and rack-sequencing in robotic mobile fulfillment systems," Omega, Elsevier, vol. 120(C).
    26. Leonard Kleinrock & Roy P. Finkelstein, 1967. "Time Dependent Priority Queues," Operations Research, INFORMS, vol. 15(1), pages 104-116, February.
    27. Boysen, Nils & Briskorn, Dirk & Emde, Simon, 2017. "Parts-to-picker based order processing in a rack-moving mobile robots environment," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 85774, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    28. James R. Jackson, 1960. "Some problems in queueing with dynamic priorities," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 7(3), pages 235-249, September.
    29. Val Andrei Fajardo & Steve Drekic, 2017. "Waiting Time Distributions in the Preemptive Accumulating Priority Queue," Methodology and Computing in Applied Probability, Springer, vol. 19(1), pages 255-284, March.
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