Sequencing of picking orders in mobile rack warehouses.

*(English)*Zbl 1394.90265Summary: A growing population and increasing real estate costs in many urbanized areas have made space for roomy warehouses with single-deep storage and wide aisles scarce and expensive. Mobile rack warehouses increase the space utilization by providing only a few open aisles at a time for accessing the racks. Whenever a stock keeping unit (SKU) is to be retrieved, neighboring racks mounted on rail tracks have to be moved aside by a strong engine, so that the adjacent aisle opens and the SKU can be accessed. As moving the heavy racks takes considerable time, the resulting waiting time determines large parts of the picking effort. It is, thus, advantageous to sequence picking orders, such that the last aisle visited for the preceding order is also the first aisle to enter when retrieving a subsequent picking order. We formalize the resulting picking order sequencing problem and present suited exact and heuristic solution procedures. These algorithms are tested in a comprehensive computational study and then applied to explore managerial aspects, such as the influence of the number of open aisles on the picking effort.

##### MSC:

90B35 | Deterministic scheduling theory in operations research |

90B06 | Transportation, logistics and supply chain management |

90B50 | Management decision making, including multiple objectives |

90B30 | Production models |

PDF
BibTeX
Cite

\textit{N. Boysen} et al., Eur. J. Oper. Res. 259, No. 1, 293--307 (2017; Zbl 1394.90265)

Full Text:
DOI

##### References:

[1] | Allahverdi, A.; Ng, C. T.; Cheng, T. E.; Kovalyov, M. Y., A survey of scheduling problems with setup times or costs, European Journal of Operational Research, 187, 985-1032, (2008) · Zbl 1137.90474 |

[2] | Bartholdi, J. J.; Hackman, S. T., Warehouse and distribution science, (2014), Supply Chain and Logistics Institute |

[3] | Błażewicz, J.; Ecker, K.; Pesch, E.; Schmidt, G.; Wȩglarz, J., Handbook on scheduling, (2007), Springer Berlin |

[4] | Boysen, N.; Boywitz, D.; Weidinger, F., Deep-lane storage of time-critical items: One-sided vs. two-sided access, (2016), Friedrich-Schiller-University Jena |

[5] | Boysen, N.; Fliedner, M., Determining crane areas in intermodal transshipment yards: the yard partition problem, European Journal of Operational Research, 204, 336-342, (2010) · Zbl 1178.90142 |

[6] | Chang, T. H.; Fu, H. P.; Hu, K. Y., A two-sided picking model of m-AS/RS with an aisle-assignment algorithm, International Journal of Production Research, 45, 3971-3990, (2007) · Zbl 1128.90548 |

[7] | Chisman, J. A., The clustered traveling salesman problem, Computers and Operations Research, 2, 115-119, (1975) |

[8] | Garey, M. R.; Johnson, D. S., Computers and intractability, (1979), Freeman New York · Zbl 0411.68039 |

[9] | Gu, J.; Goetschalckx, M.; McGinnis, L. F., Research on warehouse operation: A comprehensive review, European Journal of Operational Research, 177, 1-21, (2007) · Zbl 1111.90321 |

[10] | Gu, J.; Goetschalckx, M.; McGinnis, L. F., Research on warehouse design and performance evaluation: A comprehensive review, European Journal of Operational Research, 203, 539-549, (2010) · Zbl 1177.90268 |

[11] | Gue, K. R.; Kim, B. S., Puzzle-based storage systems, Naval Research Logistics, 54, 556-567, (2007) · Zbl 1143.90310 |

[12] | Held, M.; Karp, R. M., A dynamic programming approach to sequencing problems, SIAM Journal, 10, 196-210, (1962) · Zbl 0106.14103 |

[13] | Hu, K. Y.; Chang, T. H.; Fu, H. P.; Yeh, H., Improvement order picking in mobile storage systems with a middle cross aisle, International Journal of Production Research, 47, 1089-1104, (2009) · Zbl 1216.90040 |

[14] | Kirkpatrick, S.; Gelatt, C. D.; Vecchi, M. P., Optimization by simulated annealing, Science, 220, 671-680, (1983) · Zbl 1225.90162 |

[15] | de Koster, R.; Le-Duc, T.; Roodbergen, K. J., Design and control of warehouse order picking: A literature review, European Journal of Operational Research, 182, 481-501, (2007) · Zbl 1121.90385 |

[16] | Osman, I. H.; Kelly, J. P., Meta-heuristics: Theory and applications, (2012), Springer New York |

[17] | Pinedo, M., Scheduling: Theory, algorithms, and systems, (2012), Springer New York · Zbl 1239.90002 |

[18] | Russon, D.; Kútik, V.; Clarke, A., Future storage requirements at the british library lending division: fixed or mobile shelving?, Interlending and Document Supply, 10, 54-58, (1982) |

[19] | SSI Schäfer (2013). Vollautomatisierte Verschieberegalanlage (in German). http://media.ssi-schaefer.de/fileadmin/ssi/documents/navigationsbaum/logistiksysteme/vollautomatische_systeme/verschieberegallager/vollautomatisierte_v_de.pdf (last access: September 2016). |

[20] | Yu, Y.; de Koster, R. B., Optimal zone boundaries for two-class-based compact three-dimensional automated storage and retrieval systems, IIE Transactions, 41, 194-208, (2009) |

[21] | Zaerpour, N.; Yu, Y.; de Koster, M. B.M., Small is beautiful: A framework for evaluating and optimizing live-cube compact storage systems, Transportation Science, (2016) |

[22] | Zaerpour, N.; Yu, Y.; Koster, R., Storing fresh produce for fast retrieval in an automated compact cross-dock system, Production and Operations Management, 24, 1266-1284, (2015) |

[23] | Zhao, J.; Choa, V.; Broms, B. B., Construction and utilization of rock caverns in Singapore part b: development costs and utilization, Tunnelling and Underground Space Technology, 11, 73-79, (1996) |

This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.