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An inventory model with discounts for omnichannel retailers of slow moving items

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  • Gabor, Adriana F.
  • van Ommeren, Jan-Kees
  • Sleptchenko, Andrei

Abstract

In this paper, we study an inventory model for an omnichannel retailer, that is, a retailer that sells items both via brick-and-mortar stores and online. Online items are delivered from a warehouse, which also replenishes the stores. When the inventory in a store drops below a certain level, the retailer offers customers a discount for purchasing online. In this way, the retailer can save items for customers who need the item immediately and thus avoid lost sales. For this model, we propose an approximation method for calculating the average inventory costs for one store and one warehouse and an optimization procedure for the case of more stores. Using extensive numerical experiments, we show that the approximations are very close to the performance measured via simulation. Finally, we show that by adopting the discounts policy proposed in this paper, the retailer can reduce its total cost, on average, by 8.5% compared to the no-discounts policy.

Suggested Citation

  • Gabor, Adriana F. & van Ommeren, Jan-Kees & Sleptchenko, Andrei, 2022. "An inventory model with discounts for omnichannel retailers of slow moving items," European Journal of Operational Research, Elsevier, vol. 300(1), pages 58-72.
    • Handle: RePEc:eee:ejores:v:300:y:2022:i:1:p:58-72
    DOI: 10.1016/j.ejor.2021.07.017
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    1. Yanzhe (Murray) Lei & Stefanus Jasin & Amitabh Sinha, 2018. "Joint Dynamic Pricing and Order Fulfillment for E-commerce Retailers," Manufacturing & Service Operations Management, INFORMS, vol. 20(2), pages 269-284, May.
    2. Craig C. Sherbrooke, 1968. "Metric: A Multi-Echelon Technique for Recoverable Item Control," Operations Research, INFORMS, vol. 16(1), pages 122-141, February.
    3. Jing-Sheng Song & Hanqin Zhang & Yumei Hou & Mingzheng Wang, 2010. "The Effect of Lead Time and Demand Uncertainties in ( r, q ) Inventory Systems," Operations Research, INFORMS, vol. 58(1), pages 68-80, February.
    4. Oguzhan Vicil & Peter Jackson, 2016. "Computationally efficient optimization of stock pooling and allocation levels for two-demand-classes under general lead time distributions," IISE Transactions, Taylor & Francis Journals, vol. 48(10), pages 955-974, October.
    5. de Kok, Ton & Grob, Christopher & Laumanns, Marco & Minner, Stefan & Rambau, Jörg & Schade, Konrad, 2018. "A typology and literature review on stochastic multi-echelon inventory models," European Journal of Operational Research, Elsevier, vol. 269(3), pages 955-983.
    6. Albert Y. Ha, 1997. "Inventory Rationing in a Make-to-Stock Production System with Several Demand Classes and Lost Sales," Management Science, INFORMS, vol. 43(8), pages 1093-1103, August.
    7. Stefanus Jasin & Amitabh Sinha, 2015. "An LP-Based Correlated Rounding Scheme for Multi-Item Ecommerce Order Fulfillment," Operations Research, INFORMS, vol. 63(6), pages 1336-1351, December.
    8. Jason Acimovic & Stephen C. Graves, 2015. "Making Better Fulfillment Decisions on the Fly in an Online Retail Environment," Manufacturing & Service Operations Management, INFORMS, vol. 17(1), pages 34-51, February.
    9. Andersson, Jonas & Melchiors, Philip, 2001. "A two-echelon inventory model with lost sales," International Journal of Production Economics, Elsevier, vol. 69(3), pages 307-315, February.
    10. Steven Nahmias & Stephen A. Smith, 1994. "Optimizing Inventory Levels in a Two-Echelon Retailer System with Partial Lost Sales," Management Science, INFORMS, vol. 40(5), pages 582-596, May.
    11. Qing Ding & Panos Kouvelis & Joseph M. Milner, 2006. "Dynamic Pricing Through Discounts for Optimizing Multiple-Class Demand Fulfillment," Operations Research, INFORMS, vol. 54(1), pages 169-183, February.
    12. Jason Acimovic & Stephen C. Graves, 2017. "Mitigating Spillover in Online Retailing via Replenishment," Manufacturing & Service Operations Management, INFORMS, vol. 19(3), pages 419-436, July.
    13. Hill, R.M. & Seifbarghy, M. & Smith, D.K., 2007. "A two-echelon inventory model with lost sales," European Journal of Operational Research, Elsevier, vol. 181(2), pages 753-766, September.
    14. Awi Federgruen & Min Wang, 2013. "Monotonicity properties of a class of stochastic inventory systems," Annals of Operations Research, Springer, vol. 208(1), pages 155-186, September.
    15. Mahar, Stephen & Bretthauer, Kurt M. & Venkataramanan, M.A., 2009. "The value of virtual pooling in dual sales channel supply chains," European Journal of Operational Research, Elsevier, vol. 192(2), pages 561-575, January.
    16. Gabor, Adriana F. & van Vianen, Lars A. & Yang, Guangyuan & Axsäter, Sven, 2018. "A base-stock inventory model with service differentiation and response time guarantees," European Journal of Operational Research, Elsevier, vol. 269(3), pages 900-908.
    17. Hasan Arslan & Stephen C. Graves & Thomas A. Roemer, 2007. "A Single-Product Inventory Model for Multiple Demand Classes," Management Science, INFORMS, vol. 53(9), pages 1486-1500, September.
    18. Shelby L. Brumelle, 1978. "A Generalization of Erlang's Loss System to State Dependent Arrival and Service Rates," Mathematics of Operations Research, INFORMS, vol. 3(1), pages 10-16, February.
    19. P Melchiors & R Dekker & M J Kleijn, 2000. "Inventory rationing in an (s, Q) inventory model with lost sales and two demand classes," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 51(1), pages 111-122, January.
    20. Vinayak Deshpande & Morris A. Cohen & Karen Donohue, 2003. "A Threshold Inventory Rationing Policy for Service-Differentiated Demand Classes," Management Science, INFORMS, vol. 49(6), pages 683-703, June.
    21. David R. Bell & Santiago Gallino & Antonio Moreno, 2020. "Customer Supercharging in Experience-Centric Channels," Management Science, INFORMS, vol. 66(9), pages 4096-4107, September.
    22. David R. Bell & Santiago Gallino & Antonio Moreno, 2018. "Offline Showrooms in Omnichannel Retail: Demand and Operational Benefits," Management Science, INFORMS, vol. 64(4), pages 1629-1651, April.
    23. Steven Nahmias & W. Steven Demmy, 1981. "Operating Characteristics of an Inventory System with Rationing," Management Science, INFORMS, vol. 27(11), pages 1236-1245, November.
    24. Bendoly, Elliot & Blocher, Doug & Bretthauer, Kurt M. & Venkataramanan, M.A., 2007. "Service and cost benefits through clicks-and-mortar integration: Implications for the centralization/decentralization debate," European Journal of Operational Research, Elsevier, vol. 180(1), pages 426-442, July.
    25. Alexander Hübner & Andreas Holzapfel & Heinrich Kuhn, 2016. "Distribution systems in omni-channel retailing," Business Research, Springer;German Academic Association for Business Research, vol. 9(2), pages 255-296, August.
    26. Pavithra Harsha & Shivaram Subramanian & Joline Uichanco, 2019. "Dynamic Pricing of Omnichannel Inventories," Service Science, INFORMS, vol. 21(1), pages 47-65, January.
    27. Hemant K. Bhargava & Daewon Sun & Susan H. Xu, 2006. "Stockout Compensation: Joint Inventory and Price Optimization in Electronic Retailing," INFORMS Journal on Computing, INFORMS, vol. 18(2), pages 255-266, May.
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    1. Sun, Yimeng & Qiu, Ruozhen & Sun, Minghe, 2024. "A robust optimization approach for inventory management with limited-time discounts and service-level requirement under demand uncertainty," International Journal of Production Economics, Elsevier, vol. 267(C).

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