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Minimizing order picking makespan with multiple pickers in a wave picking warehouse

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  • Ardjmand, Ehsan
  • Shakeri, Heman
  • Singh, Manjeet
  • Sanei Bajgiran, Omid

Abstract

In this paper, order assignment, order batching and picker routing problems with multiple pickers in a wave picking warehouse of a major US third party logistics company is studied and modeled mathematically. The proposed mathematical model is solved using an exact algorithm. Since the exact algorithm suffers from long CPU time, a Lagrangian decomposition heuristic combined with particle swarm optimization (LD-PSO) algorithm is proposed, which performs well for small size waves. To solve large-scale problems, a hybrid parallel simulated annealing and ant colony optimization (PSA-ACO) is presented. The proposed methods are tested using the warehouse data. The results are compared against the minimum makespan impact (MMI) heuristic that is currently being used in the warehouse and a state-of-the-art variable neighborhood descent (VND). While PSA-ACO slightly outperforms VND, for picking large waves, PSA-ACO and VND can improve the makespan by approximately 7.8% and 6.9% over MMI respectively. Numerical experiments show that increasing number of pickers and picking capacity has a greater impact on reducing makespan when the ratio of orders to number of pickers or picking capacity is high.

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  • Ardjmand, Ehsan & Shakeri, Heman & Singh, Manjeet & Sanei Bajgiran, Omid, 2018. "Minimizing order picking makespan with multiple pickers in a wave picking warehouse," International Journal of Production Economics, Elsevier, vol. 206(C), pages 169-183.
    • Handle: RePEc:eee:proeco:v:206:y:2018:i:c:p:169-183
    DOI: 10.1016/j.ijpe.2018.10.001
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    6. Fabio Maximiliano Miguel & Mariano Frutos & Máximo Méndez & Fernando Tohmé & Begoña González, 2024. "Comparison of MOEAs in an Optimization-Decision Methodology for a Joint Order Batching and Picking System," Mathematics, MDPI, vol. 12(8), pages 1-23, April.
    7. Pardo, Eduardo G. & Gil-Borrás, Sergio & Alonso-Ayuso, Antonio & Duarte, Abraham, 2024. "Order batching problems: Taxonomy and literature review," European Journal of Operational Research, Elsevier, vol. 313(1), pages 1-24.
    8. Jiang, Min & Huang, George Q., 2022. "Intralogistics synchronization in robotic forward-reserve warehouses for e-commerce last-mile delivery," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 158(C).
    9. Neves-Moreira, Fábio & Amorim, Pedro, 2024. "Learning efficient in-store picking strategies to reduce customer encounters in omnichannel retail," International Journal of Production Economics, Elsevier, vol. 267(C).
    10. Grzegorz Tarczyński, 2023. "Linear programming models for optimal workload and batching in pick-and-pass warehousing systems," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 33(3), pages 141-158.
    11. Jingran Liang & Zhengning Wu & Chenye Zhu & Zhi-Hai Zhang, 2022. "An estimation distribution algorithm for wave-picking warehouse management," Journal of Intelligent Manufacturing, Springer, vol. 33(4), pages 929-942, April.
    12. Shandong Mou, 2022. "Integrated Order Picking and Multi-Skilled Picker Scheduling in Omni-Channel Retail Stores," Mathematics, MDPI, vol. 10(9), pages 1-19, April.
    13. AERTS, Babiche & CORNELISSENS, Trijntje & SÖRENSEN, Kenneth, 2022. "The internal warehouse replenishment problem: the importance of storage and replenishment policies," Working Papers 2022007, University of Antwerp, Faculty of Business and Economics.
    14. Rajabighamchi, Farzaneh & van Hoesel, Stan & Defryn, Christof, 2023. "The order picking problem under a scattered storage policy," Research Memorandum 006, Maastricht University, Graduate School of Business and Economics (GSBE).
    15. Derhami, Shahab & Smith, Jeffrey S. & Gue, Kevin R., 2020. "A simulation-based optimization approach to design optimal layouts for block stacking warehouses," International Journal of Production Economics, Elsevier, vol. 223(C).
    16. Srinivas, Sharan & Yu, Shitao, 2022. "Collaborative order picking with multiple pickers and robots: Integrated approach for order batching, sequencing and picker-robot routing," International Journal of Production Economics, Elsevier, vol. 254(C).
    17. Jose Alejandro Cano & Pablo Cortés & Jesús Muñuzuri & Alexander Correa-Espinal, 2023. "Solving the picker routing problem in multi-block high-level storage systems using metaheuristics," Flexible Services and Manufacturing Journal, Springer, vol. 35(2), pages 376-415, June.

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