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Joint pricing and inventory decisions for substitutable and perishable products under demand uncertainty

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  • Fang, Fei
  • Nguyen, Tri-Dung
  • Currie, Christine S.M.

Abstract

In this paper, we develop a model for dynamic pricing and inventory decisions for multiple substitutable and perishable products under a multiple-period lifetime. Retailers place orders at the beginning of the first period, and products will be sold at full price during that period. All leftover products will then be carried over to the subsequent periods and sold at discounted prices. Demands for leftover products are assumed to follow a linear stochastic model depending on the discounted prices of the substitutable products. The optimal order quantities and prices are obtained by maximizing the total expected profit over the lifetime, taking into account the revenue, the backorder cost and the holding cost. We provide analytical properties of the optimal policy such as the concavity of the value functions and then utilise these in the numerical scheme for finding the optimal prices and ordering quantities. Experimental results are reported through a case study of a high-street fashion company, demonstrating the benefits of considering pricing and inventory decisions simultaneously for substitutable products.

Suggested Citation

  • Fang, Fei & Nguyen, Tri-Dung & Currie, Christine S.M., 2021. "Joint pricing and inventory decisions for substitutable and perishable products under demand uncertainty," European Journal of Operational Research, Elsevier, vol. 293(2), pages 594-602.
  • Handle: RePEc:eee:ejores:v:293:y:2021:i:2:p:594-602
    DOI: 10.1016/j.ejor.2020.08.002
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    References listed on IDEAS

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    1. Awi Federgruen & Aliza Heching, 1999. "Combined Pricing and Inventory Control Under Uncertainty," Operations Research, INFORMS, vol. 47(3), pages 454-475, June.
    2. Mahesh Nagarajan & S. Rajagopalan, 2008. "Inventory Models for Substitutable Products: Optimal Policies and Heuristics," Management Science, INFORMS, vol. 54(8), pages 1453-1466, August.
    3. Arvind Rajan & Richard Rakesh, 1992. "Dynamic Pricing and Ordering Decisions by a Monopolist," Management Science, INFORMS, vol. 38(2), pages 240-262, February.
    4. Kim, Sang-Won & Bell, Peter C., 2011. "Optimal pricing and production decisions in the presence of symmetrical and asymmetrical substitution," Omega, Elsevier, vol. 39(5), pages 528-538, October.
    5. Oben Ceryan & Ozge Sahin & Izak Duenyas, 2013. "Dynamic Pricing of Substitutable Products in the Presence of Capacity Flexibility," Manufacturing & Service Operations Management, INFORMS, vol. 15(1), pages 86-101, April.
    6. Ming Chen & Zhi-Long Chen, 2015. "Recent Developments in Dynamic Pricing Research: Multiple Products, Competition, and Limited Demand Information," Production and Operations Management, Production and Operations Management Society, vol. 24(5), pages 704-731, May.
    7. Kaijie Zhu & Ulrich W. Thonemann, 2009. "Coordination of pricing and inventory control across products," Naval Research Logistics (NRL), John Wiley & Sons, vol. 56(2), pages 175-190, March.
    8. Lingxiu Dong & Panos Kouvelis & Zhongjun Tian, 2009. "Dynamic Pricing and Inventory Control of Substitute Products," Manufacturing & Service Operations Management, INFORMS, vol. 11(2), pages 317-339, December.
    9. Stephen M. Gilbert, 2000. "Coordination of Pricing and Multiple-Period Production Across Multiple Constant Priced Goods," Management Science, INFORMS, vol. 46(12), pages 1602-1616, December.
    10. Omar Besbes & Assaf Zeevi, 2015. "On the (Surprising) Sufficiency of Linear Models for Dynamic Pricing with Demand Learning," Management Science, INFORMS, vol. 61(4), pages 723-739, April.
    11. Li‐Ming Chen & Amar Sapra, 2013. "Joint inventory and pricing decisions for perishable products with two‐period lifetime," Naval Research Logistics (NRL), John Wiley & Sons, vol. 60(5), pages 343-366, August.
    12. Pentico, David W. & Drake, Matthew J., 2009. "The deterministic EOQ with partial backordering: A new approach," European Journal of Operational Research, Elsevier, vol. 194(1), pages 102-113, April.
    13. Minsuk Suh & Goker Aydin, 2011. "Dynamic pricing of substitutable products with limited inventories under logit demand," IISE Transactions, Taylor & Francis Journals, vol. 43(5), pages 323-331.
    14. P. L. Abad, 1996. "Optimal Pricing and Lot-Sizing Under Conditions of Perishability and Partial Backordering," Management Science, INFORMS, vol. 42(8), pages 1093-1104, August.
    15. Stephen A. Smith & Narendra Agrawal, 2000. "Management of Multi-Item Retail Inventory Systems with Demand Substitution," Operations Research, INFORMS, vol. 48(1), pages 50-64, February.
    16. Yanzhi Li & Andrew Lim & Brian Rodrigues, 2009. "Note--Pricing and Inventory Control for a Perishable Product," Manufacturing & Service Operations Management, INFORMS, vol. 11(3), pages 538-542, February.
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    4. Yan Wang & Shue Mei & Weijun Zhong, 2022. "Advertising or recommender systems? A game‐theoretic analysis of online retailer platforms' decision‐making," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 43(6), pages 2119-2132, September.

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