The min–max order picking problem in synchronised dynamic zone-picking systems

References

• Ardjmand, E., H. Shakeri, M. Singh, and O. S. Bajgiran. 2018. “Minimizing Order Picking Makespan with Multiple Pickers in a Wave Picking Warehouse.” International Journal of Production Economics 206: 169–183.
   Web of Science ®Google Scholar
• Azadeh, K., D. Roy, and R. de Koster. 2020. Dynamic Human-Robot Collaborative Picking Strategies. Erasmus University Working Paper.
   Google Scholar
• Bartholdi, J. J., and D. D. Eisenstein. 1996. “A Production Line That Balances Itself.” Operations Research 44 (1): 21–34.
   Web of Science ®Google Scholar
• Bartholdi, J. J., D. D. Eisenstein, and R. D. Foley. 2001. “Performance of Bucket Brigades When Work is Stochastic.” Operations Research 49 (5): 710–719.
   Web of Science ®Google Scholar
• Bartholdi, J. J., and S. Hackman. 2019. Warehouse and Distribution Science. Release 0.98.1. Atlanta: Supply Chain and Logistics Institute. https://www2.isye.gatech.edu/~jjb/wh/book/.
   Google Scholar
• Çelik, M., and H. Süral. 2019. “Order Picking in Parallel-Aisle Warehouses with Multiple Blocks: Complexity and a Graph Theory-Based Heuristic.” International Journal of Production Research 57 (3): 888–906.
   Web of Science ®Google Scholar
• De Koster, R. 1994. “Performance Approximation of Pick-to-Belt Order Picking Systems.” European Journal of Operational Research 72 (3): 558–573.
   Web of Science ®Google Scholar
• De Koster, R., T. Le-Duc, and K. J. Roodbergen. 2007. “Design and Control of Warehouse Order Picking. A Literature Review.” European Journal of Operational Research 182 (2): 481–501.
   Web of Science ®Google Scholar
• De Koster, R., T. Le-Duc, and N. Zaerpour. 2012. “Determining the Number of Zones in a Pick-and-Sort Order Picking System.” International Journal of Production Research 50 (3): 757–771.
   Web of Science ®Google Scholar
• De Koster, R., E. S. Van der Poort, and M. Wolters. 1999. “Efficient Order-Batching Methods in Warehouses.” International Journal of Production Research 37 (7): 1479–1504.
   Web of Science ®Google Scholar
• De Santis, R., R. Montanari, G. Vignali, and E. Bottani. 2018. “An Adapted Ant Colony Optimization Algorithm for the Minimization of the Travel Distance of Pickers in Manual Warehouses.” European Journal of Operational Research 267 (1): 120–137.
   Web of Science ®Google Scholar
• Feller, W. 2008. An Introduction to Probability Theory and its Applications. Vol. II. New York: Wiley.
   Google Scholar
• Gavish, B., and S. C. Graves. 1978. The Travelling Salesman Problem and Related Problems. Working Paper OR-078-78. Cambridge: Operations Research Center, MIT.
   Google Scholar
• Gu, J., M. Goetschalckx, and L. F. McGinnis. 2007. “Research on Warehouse Operation: A Comprehensive Review.” European Journal of Operational Research 177 (1): 1–21.
   Web of Science ®Google Scholar
• Hall, R. W. 1993. “Distance Approximations for Routing Manual Pickers in a Warehouse.” IIE Transactions 25 (4): 76–87.
   Web of Science ®Google Scholar
• Ho, Y. C., and T. W. Liao. 2009. “Zone Design and Control for Vehicle Collision Prevention and Load Balancing in a Zone Control AGV System.” Computers and Industrial Engineering 56 (1): 417–432.
   Web of Science ®Google Scholar
• Jane, C. C., and Y. W. Laih. 2005. “A Clustering Algorithm for Item Assignment in a Synchronized Zone Order Picking System.” European Journal of Operational Research 166 (2): 489–496.
   Web of Science ®Google Scholar
• Masae, M., C. H. Glock, and E. H. Grosse. 2020. “Order Picker Routing in Warehouses: A Systematic Literature Review.” International Journal of Production Economics 224: 107564.
   Web of Science ®Google Scholar
• Melacini, M., S. Perotti, and A. Tumino. 2011. “Development of a Framework for Pick-and-Pass Order Picking System Design.” The International Journal of Advanced Manufacturing Technology 53: 841–854.
   Web of Science ®Google Scholar
• Pansart, L., N. Catusse, and H. Cambazard. 2018. “Exact Algorithms for the Order Picking Problem.” Computers and Operations Research 100: 117–127.
   Web of Science ®Google Scholar
• Ratliff, H. D., and A. S. Rosenthal. 1983. “Order-Picking in a Rectangular Warehouse: A Solvable Case of the Traveling Salesman Problem.” Operations Research 31 (3): 507–521.
   Web of Science ®Google Scholar
• Roodbergen, K. J., and R. de Koster. 2001a. “Routing Methods for Warehouses with Multiple Cross-Aisles.” International Journal of Production Research 39 (9): 1865–1883.
   Web of Science ®Google Scholar
• Roodbergen, K. J., and R. de Koster. 2001b. “Routing Order Pickers in a Warehouse with a Middle Aisle.” European Journal of Operational Research 133 (1): 32–43.
   Web of Science ®Google Scholar
• Rouwenhorst, B., B. Reuter, V. Stockrahm, G. J. van Houtum, R. J. Mantel, and W. H. Zijm. 2000. “Warehouse Design and Control: Framework and Literature Review.” European Journal of Operational Research 122 (3): 515–533.
   Web of Science ®Google Scholar
• Roy, D., A. Krishnamurthy, S. S. Heragu, and C. J. Malmborg. 2012. “Performance Analysis and Design Trade-Offs in Warehouses with Autonomous Vehicle Technology.” IIE Transactions 44 (12): 1045–1060.
   Web of Science ®Google Scholar
• Roy, D., S. Nigam, R. de Koster, I. Adan, and J. Resing. 2019. “Robot-Storage Zone Assignment Strategies in Mobile Fulfillment Systems.” Transportation Research Part E: Logistics and Transportation Review 122: 119–142.
   Web of Science ®Google Scholar
• Scholz, A., S. Henn, M. Stuhlmann, and G. Wäscher. 2016. “A New Mathematical Programming Formulation for the Single-Picker Routing Problem.” European Journal of Operational Research 253 (1): 68–84.
   Web of Science ®Google Scholar
• Scholz, A., D. Schubert, and G. Wäscher. 2017. “Order Picking with Multiple Pickers and Due Dates–Simultaneous Solution of Order Batching, Batch Assignment and Sequencing, and Picker Routing Problems.” European Journal of Operational Research 263 (2): 461–478.
   Web of Science ®Google Scholar
• Theys, C., O. Bräysy, W. Dullaert, and B. Raa. 2010. “Using a TSP Heuristic for Routing Order Pickers in Warehouses.” European Journal of Operational Research 200 (3): 755–763.
   Web of Science ®Google Scholar
• Van der Gaast, J. P., R. B. de Koster, I. J. Adan, and J. A. Resing. 2020. “Capacity Analysis of Sequential Zone Picking Systems.” Operations Research 68 (1): 161–179.
   Web of Science ®Google Scholar
• Van Gils, T., K. Ramaekers, A. Caris, and R. de Koster. 2018. “Designing Efficient Order Picking Systems by Combining Planning Problems: State-of-the-Art Classification and Review.” European Journal of Operational Research 267 (1): 1–15.
   Web of Science ®Google Scholar
• Vanheusden, S, T Van Gils, A Caris, K Ramaekers, and K Braekers. 2020. “Operational workload balancing in manual order picking.” Computers and Industrial Engineering 141.
   Web of Science ®Google Scholar
• Vaughan, T. S., and C. G. Petersen. 1999. “The Effect of Warehouse Cross Aisles on Order Picking Efficiency.” International Journal of Production Research 37 (4): 881–897.
   Web of Science ®Google Scholar
• Yu, M., and R. de Koster. 2008. “Performance Approximation and Design of Pick-and-Pass Order Picking Systems.” IIE Transactions 40 (11): 1054–1069.
   Web of Science ®Google Scholar
• Yu, M., and R. de Koster. 2009. “The Impact of Order Batching and Picking Area Zoning on Order Picking System Performance.” European Journal of Operational Research 198 (2): 480–490.
   Web of Science ®Google Scholar