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Inventory decisions for substitutable products with stock-dependent demand

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  • Stavrulaki, Euthemia

Abstract

We study a retailer's inventory policy for two products. The products are substitutable and have inventory dependent demand, so a higher inventory level of a product increases its sales. We model the joint effect of demand stimulation and product substitution on inventory decisions by considering a single-period, stochastic demand setting. We provide the first order optimality conditions for the profit maximizing order quantities and interpret them using marginal analysis. We also consider two heuristic solutions that separately account for either demand stimulation or product substitution. Our numerical analysis reveals that the optimal policy by appropriately using sales information that quantifies substitution and demand stimulation can produce significantly higher profits. The profit benefits are lessened under certain circumstances, such as when the two products have similar critical fractile values, suggesting that in such instances the heuristics may be used effectively.

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  • Stavrulaki, Euthemia, 2011. "Inventory decisions for substitutable products with stock-dependent demand," International Journal of Production Economics, Elsevier, vol. 129(1), pages 65-78, January.
    • Handle: RePEc:eee:proeco:v:129:y:2011:i:1:p:65-78
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    9. Lu, Fen & Xu, He & Chen, Pengyu & Zhu, Stuart X., 2018. "Joint pricing and production decisions with yield uncertainty and downconversion," International Journal of Production Economics, Elsevier, vol. 197(C), pages 52-62.
    10. Mou, Shandong & Robb, David J. & DeHoratius, Nicole, 2018. "Retail store operations: Literature review and research directions," European Journal of Operational Research, Elsevier, vol. 265(2), pages 399-422.
    11. Apostolos Burnetas & Odysseas Kanavetas, 2018. "Inventory policies for two products under Poisson demand: Interaction between demand substitution, limited storage capacity and replenishment time uncertainty," Naval Research Logistics (NRL), John Wiley & Sons, vol. 65(8), pages 676-698, December.
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    14. Wang, Fuqiang & Fang, Xiaoping & Chen, Xiaohong & Li, Xihua, 2016. "Impact of inventory inaccuracies on products with inventory-dependent demand," International Journal of Production Economics, Elsevier, vol. 177(C), pages 118-130.
    15. P. Majumder & U. K. Bera & M. Maiti, 2020. "An EPQ model of substitutable products under trade credit policy with stock dependent and random substitution," OPSEARCH, Springer;Operational Research Society of India, vol. 57(4), pages 1205-1243, December.
    16. Zhao, Jing & Wei, Jie & Li, Yongjian, 2014. "Pricing decisions for substitutable products in a two-echelon supply chain with firms׳ different channel powers," International Journal of Production Economics, Elsevier, vol. 153(C), pages 243-252.
    17. Shin, Hojung & Park, Soohoon & Lee, Euncheol & Benton, W.C., 2015. "A classification of the literature on the planning of substitutable products," European Journal of Operational Research, Elsevier, vol. 246(3), pages 686-699.
    18. Wen, Xin & Choi, Tsan-Ming & Chung, Sai-Ho, 2019. "Fashion retail supply chain management: A review of operational models," International Journal of Production Economics, Elsevier, vol. 207(C), pages 34-55.
    19. Guchhait, Partha & Kumar Maiti, Manas & Maiti, Manoranjan, 2013. "Production-inventory models for a damageable item with variable demands and inventory costs in an imperfect production process," International Journal of Production Economics, Elsevier, vol. 144(1), pages 180-188.
    20. Menezes, Mozart B.C. & Pinto, Roberto, 2022. "Product proliferation, cannibalisation, and substitution: A first look into entailed risk and complexity," International Journal of Production Economics, Elsevier, vol. 243(C).

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