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A logistics network design model with vendor managed inventory

Author

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  • Shu, Jia
  • Li, Zhengyi
  • Shen, Houcai
  • Wu, Ting
  • Zhong, Weijun

Abstract

In this paper, we study a logistics network design problem with vendor managed inventory in which the company is in charge of managing inventory for its downstream warehouses and retailers, and can choose whether to satisfy each retailer's demand. The problem incorporates the location, transportation, pricing, and warehouse-retailer echelon inventory replenishment decisions. Traditionally, these decisions are made separately. We formulate the problem as a set-packing model and solve it using branch-and-price. The pricing problem that arises from each iteration of the column generation procedure is an interesting nonlinear IP problem. We show the pricing problem can be solved in O(n2logn) time for each warehouse, where n is the number of retailers. The computational results shed insights on the benefits that the integrated approach can achieve significant profit improvement. The computational results also highlight the efficiency of the solution algorithm.

Suggested Citation

  • Shu, Jia & Li, Zhengyi & Shen, Houcai & Wu, Ting & Zhong, Weijun, 2012. "A logistics network design model with vendor managed inventory," International Journal of Production Economics, Elsevier, vol. 135(2), pages 754-761.
    • Handle: RePEc:eee:proeco:v:135:y:2012:i:2:p:754-761
    DOI: 10.1016/j.ijpe.2011.10.008
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    References listed on IDEAS

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    1. Mark Daskin & Collette Coullard & Zuo-Jun Shen, 2002. "An Inventory-Location Model: Formulation, Solution Algorithm and Computational Results," Annals of Operations Research, Springer, vol. 110(1), pages 83-106, February.
    2. Chahar, Kiran & Taaffe, Kevin, 2009. "Risk averse demand selection with all-or-nothing orders," Omega, Elsevier, vol. 37(5), pages 996-1006, October.
    3. Sourirajan, Karthik & Ozsen, Leyla & Uzsoy, Reha, 2009. "A genetic algorithm for a single product network design model with lead time and safety stock considerations," European Journal of Operational Research, Elsevier, vol. 197(2), pages 599-608, September.
    4. Leyla Ozsen & Mark S. Daskin & Collette R. Coullard, 2009. "Facility Location Modeling and Inventory Management with Multisourcing," Transportation Science, INFORMS, vol. 43(4), pages 455-472, November.
    5. Joseph Geunes & H. Edwin Romeijn & Kevin Taaffe, 2006. "Requirements Planning with Pricing and Order Selection Flexibility," Operations Research, INFORMS, vol. 54(2), pages 394-401, April.
    6. Jardar Andersen & Marielle Christiansen & Teodor Gabriel Crainic & Roar Grønhaug, 2011. "Branch and Price for Service Network Design with Asset Management Constraints," Transportation Science, INFORMS, vol. 45(1), pages 33-49, February.
    7. Yang, L. & Ng, C.T. & Cheng, T.C.E., 2010. "Evaluating the effects of distribution centres on the performance of vendor-managed inventory systems," European Journal of Operational Research, Elsevier, vol. 201(1), pages 112-122, February.
    8. Park, Sukun & Lee, Tae-Eog & Sung, Chang Sup, 2010. "A three-level supply chain network design model with risk-pooling and lead times," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 46(5), pages 563-581, September.
    9. Navneet Vidyarthi & Emre Çelebi & Samir Elhedhli & Elizabeth Jewkes, 2007. "Integrated Production-Inventory-Distribution System Design with Risk Pooling: Model Formulation and Heuristic Solution," Transportation Science, INFORMS, vol. 41(3), pages 392-408, August.
    10. Robin Roundy, 1985. "98%-Effective Integer-Ratio Lot-Sizing for One-Warehouse Multi-Retailer Systems," Management Science, INFORMS, vol. 31(11), pages 1416-1430, November.
    11. Vishv Jeet & Erhan Kutanoglu & Amit Partani, 2009. "Logistics network design with inventory stocking for low-demand parts: Modeling and optimization," IISE Transactions, Taylor & Francis Journals, vol. 41(5), pages 389-407.
    12. Lian Qi & Zuo-Jun Max Shen & Lawrence V. Snyder, 2010. "The Effect of Supply Disruptions on Supply Chain Design Decisions," Transportation Science, INFORMS, vol. 44(2), pages 274-289, May.
    13. Donglei Du & Xing Wang & Dachuan Xu, 2010. "An approximation algorithm for the k-level capacitated facility location problem," Journal of Combinatorial Optimization, Springer, vol. 20(4), pages 361-368, November.
    14. Miranda, Pablo A. & Garrido, Rodrigo A., 2009. "Inventory service-level optimization within distribution network design problem," International Journal of Production Economics, Elsevier, vol. 122(1), pages 276-285, November.
    15. Manzini, Riccardo & Bindi, Filippo, 2009. "Strategic design and operational management optimization of a multi stage physical distribution system," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 45(6), pages 915-936, November.
    16. Jia Shu & Chung-Piaw Teo & Zuo-Jun Max Shen, 2005. "Stochastic Transportation-Inventory Network Design Problem," Operations Research, INFORMS, vol. 53(1), pages 48-60, February.
    17. Lee, Der-Horng & Dong, Meng & Bian, Wen, 2010. "The design of sustainable logistics network under uncertainty," International Journal of Production Economics, Elsevier, vol. 128(1), pages 159-166, November.
    18. Gebennini, Elisa & Gamberini, Rita & Manzini, Riccardo, 2009. "An integrated production-distribution model for the dynamic location and allocation problem with safety stock optimization," International Journal of Production Economics, Elsevier, vol. 122(1), pages 286-304, November.
    19. Chung-Piaw Teo & Jia Shu, 2004. "Warehouse-Retailer Network Design Problem," Operations Research, INFORMS, vol. 52(3), pages 396-408, June.
    20. Snyder, Lawrence V. & Daskin, Mark S. & Teo, Chung-Piaw, 2007. "The stochastic location model with risk pooling," European Journal of Operational Research, Elsevier, vol. 179(3), pages 1221-1238, June.
    21. Pablo Miranda & Rodrigo Garrido, 2006. "A Simultaneous Inventory Control and Facility Location Model with Stochastic Capacity Constraints," Networks and Spatial Economics, Springer, vol. 6(1), pages 39-53, March.
    22. Max Shen, Zuo-Jun & Qi, Lian, 2007. "Incorporating inventory and routing costs in strategic location models," European Journal of Operational Research, Elsevier, vol. 179(2), pages 372-389, June.
    23. Shuzhong Zhang, 2001. "On a Profit Maximizing Location Model," Annals of Operations Research, Springer, vol. 103(1), pages 251-260, March.
    24. Zuo-Jun Max Shen & Collette Coullard & Mark S. Daskin, 2003. "A Joint Location-Inventory Model," Transportation Science, INFORMS, vol. 37(1), pages 40-55, February.
    25. Romeijn, H. Edwin & Shu, Jia & Teo, Chung-Piaw, 2007. "Designing two-echelon supply networks," European Journal of Operational Research, Elsevier, vol. 178(2), pages 449-462, April.
    26. Ahmadi Javid, Amir & Azad, Nader, 2010. "Incorporating location, routing and inventory decisions in supply chain network design," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 46(5), pages 582-597, September.
    27. Taaffe, Kevin & Geunes, Joseph & Romeijn, H. Edwin, 2008. "Target market selection and marketing effort under uncertainty: The selective newsvendor," European Journal of Operational Research, Elsevier, vol. 189(3), pages 987-1003, September.
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    Cited by:

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    2. Lee, Jun-Yeon & Cho, Richard K., 2014. "Contracting for vendor-managed inventory with consignment stock and stockout-cost sharing," International Journal of Production Economics, Elsevier, vol. 151(C), pages 158-173.
    3. Xiao, Zhongdong & Zhou, Guanghui & Wang, Ben, 2012. "Using modified Barabási and Albert model to study the complex logistic network in eco-industrial systems," International Journal of Production Economics, Elsevier, vol. 140(1), pages 295-304.

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