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Inventory management under price-based and stockout-based substitution

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  • Transchel, Sandra

Abstract

We examine a stochastic inventory and pricing problem for a firm that sells two vertically differentiated products. The demands for the two products are determined by total (random) market size and the customers’ net utility from buying the two products, which is determined by the products’ quality attributes, the individual quality valuation (unknown to the firm), and the selling prices. In case the preferred product is out of stock, customers may be willing to buy a substitute instead, if their net utility is non-negative. Therefore, we analyze an inventory and pricing model, considering price-based and stockout-based substitution.

Suggested Citation

  • Transchel, Sandra, 2017. "Inventory management under price-based and stockout-based substitution," European Journal of Operational Research, Elsevier, vol. 262(3), pages 996-1008.
  • Handle: RePEc:eee:ejores:v:262:y:2017:i:3:p:996-1008
    DOI: 10.1016/j.ejor.2017.03.075
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    1. Nicholas C. Petruzzi & Maqbool Dada, 1999. "Pricing and the Newsvendor Problem: A Review with Extensions," Operations Research, INFORMS, vol. 47(2), pages 183-194, April.
    2. Edwin S. Mills, 1959. "Uncertainty and Price Theory," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 73(1), pages 116-130.
    3. Jan A. Van Mieghem, 2004. "Note--Commonality Strategies: Value Drivers and Equivalence with Flexible Capacity and Inventory Substitution," Management Science, INFORMS, vol. 50(3), pages 419-424, March.
    4. Fernando Bernstein & Gregory A. DeCroix & Yulan Wang, 2007. "Incentives and Commonality in a Decentralized Multiproduct Assembly System," Operations Research, INFORMS, vol. 55(4), pages 630-646, August.
    5. Garrett van Ryzin & Siddharth Mahajan, 1999. "On the Relationship Between Inventory Costs and Variety Benefits in Retail Assortments," Management Science, INFORMS, vol. 45(11), pages 1496-1509, November.
    6. Dorothée Honhon & Vishal Gaur & Sridhar Seshadri, 2010. "Assortment Planning and Inventory Decisions Under Stockout-Based Substitution," Operations Research, INFORMS, vol. 58(5), pages 1364-1379, October.
    7. Wallace J. Hopp & Xiaowei Xu, 2008. "A Static Approximation for Dynamic Demand Substitution with Applications in a Competitive Market," Operations Research, INFORMS, vol. 56(3), pages 630-645, June.
    8. Mahesh Nagarajan & S. Rajagopalan, 2008. "Inventory Models for Substitutable Products: Optimal Policies and Heuristics," Management Science, INFORMS, vol. 54(8), pages 1453-1466, August.
    9. A. Gürhan Kök & Marshall L. Fisher, 2007. "Demand Estimation and Assortment Optimization Under Substitution: Methodology and Application," Operations Research, INFORMS, vol. 55(6), pages 1001-1021, December.
    10. Brian Tomlin & Yimin Wang, 2008. "Pricing and Operational Recourse in Coproduction Systems," Management Science, INFORMS, vol. 54(3), pages 522-537, March.
    11. Ying-Ju Chen & Brian Tomlin & Yimin Wang, 2013. "Coproduct Technologies: Product Line Design and Process Innovation," Management Science, INFORMS, vol. 59(12), pages 2772-2789, December.
    12. Serguei Netessine & Nils Rudi, 2003. "Centralized and Competitive Inventory Models with Demand Substitution," Operations Research, INFORMS, vol. 51(2), pages 329-335, April.
    13. Paterson, Colin & Kiesmüller, Gudrun & Teunter, Ruud & Glazebrook, Kevin, 2011. "Inventory models with lateral transshipments: A review," European Journal of Operational Research, Elsevier, vol. 210(2), pages 125-136, April.
    14. 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.
    15. Harrison, J. Michael & Van Mieghem, Jan A., 1999. "Multi-resource investment strategies: Operational hedging under demand uncertainty," European Journal of Operational Research, Elsevier, vol. 113(1), pages 17-29, February.
    16. Christopher T. Conlon & Julie Holland Mortimer, 2013. "Demand Estimation under Incomplete Product Availability," American Economic Journal: Microeconomics, American Economic Association, vol. 5(4), pages 1-30, November.
    17. Hall, Joseph M. & Kopalle, Praveen K. & Krishna, Aradhna, 2010. "Retailer Dynamic Pricing and Ordering Decisions: Category Management versus Brand-by-Brand Approaches," Journal of Retailing, Elsevier, vol. 86(2), pages 172-183.
    18. Serguei Netessine & Gregory Dobson & Robert A. Shumsky, 2002. "Flexible Service Capacity: Optimal Investment and the Impact of Demand Correlation," Operations Research, INFORMS, vol. 50(2), pages 375-388, April.
    19. Goker Aydin & Evan L. Porteus, 2008. "Joint Inventory and Pricing Decisions for an Assortment," Operations Research, INFORMS, vol. 56(5), pages 1247-1255, October.
    20. T. M. Whitin, 1955. "Inventory Control and Price Theory," Management Science, INFORMS, vol. 2(1), pages 61-68, October.
    21. Jan A. Van Mieghem, 1998. "Investment Strategies for Flexible Resources," Management Science, INFORMS, vol. 44(8), pages 1071-1078, August.
    22. Laurens G. Debo & L. Beril Toktay & Luk N. Van Wassenhove, 2005. "Market Segmentation and Product Technology Selection for Remanufacturable Products," Management Science, INFORMS, vol. 51(8), pages 1193-1205, August.
    23. Mihai Banciu & Prakash Mirchandani, 2013. "Technical Note—New Results Concerning Probability Distributions with Increasing Generalized Failure Rates," Operations Research, INFORMS, vol. 61(4), pages 925-931, August.
    24. Yehuda Bassok & Ravi Anupindi & Ram Akella, 1999. "Single-Period Multiproduct Inventory Models with Substitution," Operations Research, INFORMS, vol. 47(4), pages 632-642, August.
    25. Charles H. Fine & Robert M. Freund, 1990. "Optimal Investment in Product-Flexible Manufacturing Capacity," Management Science, INFORMS, vol. 36(4), pages 449-466, April.
    26. Rajaram, Kumar & Tang, Christopher S., 2001. "The impact of product substitution on retail merchandising," European Journal of Operational Research, Elsevier, vol. 135(3), pages 582-601, December.
    27. Karakul, M. & Chan, L.M.A., 2008. "Analytical and managerial implications of integrating product substitutability in the joint pricing and procurement problem," European Journal of Operational Research, Elsevier, vol. 190(1), pages 179-204, October.
    28. Ayşe Kocabıyıkoğlu & Ioana Popescu, 2011. "An Elasticity Approach to the Newsvendor with Price-Sensitive Demand," Operations Research, INFORMS, vol. 59(2), pages 301-312, April.
    29. Deflem, Yannick & Van Nieuwenhuyse, Inneke, 2013. "Managing inventories with one-way substitution: A newsvendor analysis," European Journal of Operational Research, Elsevier, vol. 228(3), pages 484-493.
    30. 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.
    31. Xuan Zhao & Derek R. Atkins, 2008. "Newsvendors Under Simultaneous Price and Inventory Competition," Manufacturing & Service Operations Management, INFORMS, vol. 10(3), pages 539-546, September.
    32. Vishal Gaur & Dorothée Honhon, 2006. "Assortment Planning and Inventory Decisions Under a Locational Choice Model," Management Science, INFORMS, vol. 52(10), pages 1528-1543, October.
    33. Vineet Goyal & Retsef Levi & Danny Segev, 2016. "Near-Optimal Algorithms for the Assortment Planning Problem Under Dynamic Substitution and Stochastic Demand," Operations Research, INFORMS, vol. 64(1), pages 219-235, February.
    34. Yalç{i}n Akçay & Harihara Prasad Natarajan & Susan H. Xu, 2010. "Joint Dynamic Pricing of Multiple Perishable Products Under Consumer Choice," Management Science, INFORMS, vol. 56(8), pages 1345-1361, August.
    35. Siddharth Mahajan & Garrett van Ryzin, 2001. "Stocking Retail Assortments Under Dynamic Consumer Substitution," Operations Research, INFORMS, vol. 49(3), pages 334-351, June.
    36. Saurabh Bansal & Sandra Transchel, 2014. "Managing Supply Risk for Vertically Differentiated Co-Products," Production and Operations Management, Production and Operations Management Society, vol. 23(9), pages 1577-1598, September.
    37. Pentico, David W., 2008. "The assortment problem: A survey," European Journal of Operational Research, Elsevier, vol. 190(2), pages 295-309, October.
    38. A. Gürhan Kök & Marshall L. Fisher & Ramnath Vaidyanathan, 2015. "Assortment Planning: Review of Literature and Industry Practice," International Series in Operations Research & Management Science, in: Narendra Agrawal & Stephen A. Smith (ed.), Retail Supply Chain Management, edition 2, chapter 0, pages 175-236, Springer.
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