×

Product allocation to different types of distribution center in retail logistics networks. (English) Zbl 1375.90040

Summary: We consider the problem of assigning stockkeeping units to distribution centers (DCs) belonging to different DC types of a retail network, e.g., central, regional, and local DCs. The problem is motivated by the real situation of a retail company and solved by an MIP solution approach. The MIP model reflects the interdependencies between inbound transportation, outbound transportation and instore logistics as well as capital tied up in inventories and differences in picking costs between the warehouses. A novel solution approach is developed and applied to a real-life case of a leading European grocery retail chain. The application of the new approach results in cost savings of 6% of total operational costs compared to the present assignment. These savings amount to several million euros per year. In-depth analyses of the results and sensitivity analyses provide insights into the solution structure and the major related issues.

MSC:

90B06 Transportation, logistics and supply chain management
90B05 Inventory, storage, reservoirs
90B90 Case-oriented studies in operations research
90C11 Mixed integer programming

Software:

Bonmin
Full Text: DOI

References:

[1] Agrawal, N.; Smith, S. A., Multi-location inventory models for retail supply chain management, (Agrawal, N. M.; Smith, S. A., Retail supply chain management. Retail supply chain management, International Series in Operations Research & Management Science, 223 (2015), Springer: Springer New York), 319-347 · Zbl 1312.90003
[2] Ballou, R. H., Improved stock location in the physical distribution channel, International Journal of Physical Distribution, 3, 5, 332-340 (1973)
[3] Barros, A.; Dekker, R.; Scholten, V., A two-level network for recycling sand: A case study, European Journal of Operational Research, 110, 2, 199-214 (1998) · Zbl 0948.90087
[4] Berman, O.; Krass, D.; Tajbakhsh, M. M., A coordinated location-inventory model, European Journal of Operational Research, 217, 3, 500-508 (2012) · Zbl 1244.90012
[5] Bonami, P.; Biegler, L. T.; Conn, A. R.; Cornjuelos, G.; Grossmann, I. E.; Laird, C. D., An algorithmic framework for convex mixed integer nonlinear programs, Discrete Optimization, 5, 2, 186-204 (2008) · Zbl 1151.90028
[6] Broekmeulen, R. A.; Sternbeck, M. G.; van Donselaar, K. H.; Kuhn, H., Decision support for selecting the optimal product unpacking location in a retail supply chain, Forthcoming in European Journal of Operational Research (2016) · Zbl 1394.90079
[7] Cattrysse, D. G.; van Wassenhove, L. N., A survey of algorithms for the generalized assignment problem, European Journal of Operational Research, 60, 3, 260-272 (1992) · Zbl 0760.90071
[8] Christopher, M., Logistics & supply chain management (2011), Financial Times Prentice Hall: Financial Times Prentice Hall Harlow
[9] 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, 2, 481-501 (2007) · Zbl 1121.90385
[10] Eroglu, C.; Williams, B. D.; Waller, M. A., The backroom effect in retail operations, Production & Operations Management, 22, 4, 915-923 (2013)
[11] Farahani, R. Z.; Bajgan, H. R.; Fahimnia, B.; Kaviani, M., Location-inventory problem in supply chains: A modelling review, International Journal of Production Research, 53, 12, 3769-3788 (2015)
[12] Fernie, J.; Sparks, L.; McKinnon, A. C., Retail logistics in the UK: Past, present and future, International Journal of Retail & Distribution Management, 38, 11/12, 894-914 (2010)
[13] Fleischmann, B., The impact of the number of parallel warehouses on total inventory, OR Spectrum, 38, 4, 899-920 (2016) · Zbl 1352.90003
[14] Holzapfel, A.; Hübner, A.; Kuhn, H.; Sternbeck, M. G., Delivery pattern and transportation planning in grocery retailing, European Journal of Operational Research, 252, 1, 54-68 (2016) · Zbl 1347.90011
[15] Hübner, A.; Kuhn, H.; Sternbeck, M. G., Demand and supply chain planning in grocery retail: An operations planning framework, International Journal of Retail & Distribution Management, 41, 7, 512-530 (2013)
[16] Kellerer, H.; Pferschy, U.; Pisinger, D., Knapsack problems (2010), Springer: Springer Berlin, Heidelberg
[17] Klaas-Wissing, T., Logistics configurations and supply chain design, (Delfmann, W.; Klaas-Wissing, T., Strategic supply chain design (2007), Kölner Wiss.-Verl.: Kölner Wiss.-Verl. Köln), 37-64
[18] Klose, A.; Drexl, A., Facility location models for distribution system design, European Journal of Operational Research, 162, 1, 4-29 (2005) · Zbl 1132.90345
[19] Kuhn, H.; Sternbeck, M., Integrative retail logistics—An exploratory study, Operations Management Research, 6, 1-2, 2-18 (2013)
[20] Lovell, A.; Saw, R.; Stimson, J., Product value-density: Managing diversity through supply chain segmentation, International Journal of Logistics Management, 16, 1, 142-158 (2005)
[21] Mazzola, J. B.; Neebe, A. W., Lagrangian-relaxation-based solution procedures for a multiproduct capacitated facility location problem with choice of facility type, European Journal of Operational Research, 115, 2, 285-299 (1999) · Zbl 0938.90049
[22] Metersky, J.; Kilgore, M. J., How to improve your inventory deployment, Supply Chain Management Review, 8, 7, 26-32 (2004)
[23] Nozick, L. K.; Turnquist, M. A., Inventory, transportation, service quality and the location of distribution centers, European Journal of Operational Research, 129, 2, 362-371 (2001) · Zbl 0980.90006
[24] Pentico, D. W., Assignment problems: A golden anniversary survey, European Journal of Operational Research, 176, 2, 774-793 (2007) · Zbl 1103.90060
[25] Pisinger, D., The quadratic Knapsack problem—A survey, Discrete Applied Mathematics, 155, 5, 623-648 (2007) · Zbl 1143.90028
[26] Rouwenhorst, B.; Reuter, B.; Stockrahm, V.; van Houtum, G. J.; Mantel, R. J.; Zijm, W. H.M., Warehouse design and control: Framework and literature review, European Journal of Operational Research, 122, 3, 515-533 (2000) · Zbl 0961.90003
[27] Shapiro, J. F.; Wagner, S. N., Strategic inventory optimization, Journal of Business Logistics, 30, 2, 161-173 (2009)
[28] Sternbeck, M. G., A store-oriented approach to determine order packaging quantities in grocery retailing, Journal of Business Economics, 85, 5, 569-596 (2015)
[29] Sternbeck, M. G.; Kuhn, H., An integrative approach to determine store delivery patterns in grocery retailing, Transportation Research Part E, 70, 205-224 (2014)
[30] van Zelst, S.; van Donselaar, K.; van Woensel, T.; Broekmeulen, R.; Fransoo, J., Logistics drivers for shelf stacking in grocery retail stores: Potential for efficiency improvement, International Journal of Production Economics, 121, 2, 620-632 (2009)
[31] Wen, N.; Graves, S. C.; Ren, Z. J., Ship-pack optimization in a two-echelon distribution system, European Journal of Operational Research, 220, 3, 777-785 (2012) · Zbl 1253.90036
[32] Wensing, T.; Sternbeck, M. G.; Kuhn, H., Optimizing case-pack sizes in the bricks-and-mortar retail trade, Technical report (2016), Catholic University of Eichstaett-Ingolstadt, Ingolstadt School of Management
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. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.