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Integrating inventory control and a price change in the presence of reference price effects: a two-period model

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  • Alfred Taudes
  • Christian Rudloff

Abstract

Demand and procurement planning for consumer electronics products must cope with short life cycles, limited replenishment opportunities and a willingness to pay that is influenced by past prices and decreases over time. We therefore propose the use of an integrated pricing and inventory control model with a two-period linear demand model, in which demand also depends on the difference between a price-history-based reference price and the current price. For this model we prove that the optimal joint pricing/inventory policy for the replenishment opportunity after the first period is a base-stock list-price policy. That is, stock is either replenished up to a base-stock level and a list-price is charged, or it is not replenished and a discount is given that increases with the stock-level. Furthermore, we use real-world cell phone data to study the differences between an integrated policy and traditional sequential optimization, where prices are initially optimized based on the expected demand and ordering cost, and the resulting demand distribution is used to determine an optimal inventory policy. Finally, we discuss possible extensions of the model. Copyright Springer-Verlag 2012

Suggested Citation

  • Alfred Taudes & Christian Rudloff, 2012. "Integrating inventory control and a price change in the presence of reference price effects: a two-period model," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 75(1), pages 29-65, February.
    • Handle: RePEc:spr:mathme:v:75:y:2012:i:1:p:29-65
    DOI: 10.1007/s00186-011-0374-1
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    as
    1. Gadi Fibich & Arieh Gavious & Oded Lowengart, 2007. "Optimal price promotion in the presence of asymmetric reference-price effects," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 28(6), pages 569-577.
    2. Sen, Alper & Zhang, Alex X., 2009. "Style goods pricing with demand learning," European Journal of Operational Research, Elsevier, vol. 196(3), pages 1058-1075, August.
    3. Timothy L. Urban, 2008. "Coordinating pricing and inventory decisions under reference price effects," International Journal of Manufacturing Technology and Management, Inderscience Enterprises Ltd, vol. 13(1), pages 78-94.
    4. Choi, Tsan-Ming, 2007. "Pre-season stocking and pricing decisions for fashion retailers with multiple information updating," International Journal of Production Economics, Elsevier, vol. 106(1), pages 146-170, March.
    5. Eric A. Greenleaf, 1995. "The Impact of Reference Price Effects on the Profitability of Price Promotions," Marketing Science, INFORMS, vol. 14(1), pages 82-104.
    6. Abbas A. Kurawarwala & Hirofumi Matsuo, 1996. "Forecasting and Inventory Management of Short Life-Cycle Products," Operations Research, INFORMS, vol. 44(1), pages 131-150, February.
    7. Venkatram Ramaswamy & Wayne S. Desarbo & David J. Reibstein & William T. Robinson, 1993. "An Empirical Pooling Approach for Estimating Marketing Mix Elasticities with PIMS Data," Marketing Science, INFORMS, vol. 12(1), pages 103-124.
    8. Chun, Young H., 2003. "Optimal pricing and ordering policies for perishable commodities," European Journal of Operational Research, Elsevier, vol. 144(1), pages 68-82, January.
    9. Xin Chen & David Simchi-Levi, 2004. "Coordinating Inventory Control and Pricing Strategies with Random Demand and Fixed Ordering Cost: The Infinite Horizon Case," Mathematics of Operations Research, INFORMS, vol. 29(3), pages 698-723, August.
    10. Ioana Popescu & Yaozhong Wu, 2007. "Dynamic Pricing Strategies with Reference Effects," Operations Research, INFORMS, vol. 55(3), pages 413-429, June.
    11. Luc Wathieu & Marco Bertini, 2007. "Price as a Stimulus to Think: The Case for Willful Overpricing," Marketing Science, INFORMS, vol. 26(1), pages 118-129, 01-02.
    12. Winer, Russell S, 1986. "A Reference Price Model of Brand Choice for Frequently Purchased Products," Journal of Consumer Research, Journal of Consumer Research Inc., vol. 13(2), pages 250-256, September.
    13. Wedad Elmaghraby & P{i}nar Keskinocak, 2003. "Dynamic Pricing in the Presence of Inventory Considerations: Research Overview, Current Practices, and Future Directions," Management Science, INFORMS, vol. 49(10), pages 1287-1309, October.
    14. Awi Federgruen & Aliza Heching, 1999. "Combined Pricing and Inventory Control Under Uncertainty," Operations Research, INFORMS, vol. 47(3), pages 454-475, June.
    15. Frank M. Bass & Trichy V. Krishnan & Dipak C. Jain, 1994. "Why the Bass Model Fits without Decision Variables," Marketing Science, INFORMS, vol. 13(3), pages 203-223.
    16. Gustav Feichtinger & Alfred Luhmer & Gerhard Sorger, 1988. "Optimal Price and Advertising Policy for a Convenience Goods Retailer," Marketing Science, INFORMS, vol. 7(2), pages 187-201.
    17. Marshall Fisher & Kumar Rajaram & Ananth Raman, 2001. "Optimizing Inventory Replenishment of Retail Fashion Products," Manufacturing & Service Operations Management, INFORMS, vol. 3(3), pages 230-241, November.
    18. Stadtler, Hartmut, 2005. "Supply chain management and advanced planning--basics, overview and challenges," European Journal of Operational Research, Elsevier, vol. 163(3), pages 575-588, June.
    19. Martin Natter & Thomas Reutterer & Andreas Mild & Alfred Taudes, 2007. "—An Assortmentwide Decision-Support System for Dynamic Pricing and Promotion Planning in DIY Retailing," Marketing Science, INFORMS, vol. 26(4), pages 576-583, 07-08.
    20. Nicholas C. Petruzzi & Maqbool Dada, 2001. "Information and Inventory Recourse for a Two-Market, Price-Setting Retailer," Manufacturing & Service Operations Management, INFORMS, vol. 3(3), pages 242-263, October.
    21. Eileen Bridges & Chi Kin (Bennett) Yim & Richard A. Briesch, 1995. "A High-Tech Product Market Share Model with Customer Expectations," Marketing Science, INFORMS, vol. 14(1), pages 61-81.
    22. Russell S. Winer, 1985. "Technical Note—A Price Vector Model of Demand for Consumer Durables: Preliminary Developments," Marketing Science, INFORMS, vol. 4(1), pages 74-90.
    23. Lee, Hwansik & Lodree Jr., Emmett J., 2010. "Modeling customer impatience in a newsboy problem with time-sensitive shortages," European Journal of Operational Research, Elsevier, vol. 205(3), pages 595-603, September.
    24. Gadi Fibich & Arieh Gavious & Oded Lowengart, 2003. "Explicit Solutions of Optimization Models and Differential Games with Nonsmooth (Asymmetric) Reference-Price Effects," Operations Research, INFORMS, vol. 51(5), pages 721-734, October.
    25. Praveen K. Kopalle & Ambar G. Rao & João L. Assunção, 1996. "Asymmetric Reference Price Effects and Dynamic Pricing Policies," Marketing Science, INFORMS, vol. 15(1), pages 60-85.
    26. Yin, Rui & Rajaram, Kumar, 2007. "Joint pricing and inventory control with a Markovian demand model," European Journal of Operational Research, Elsevier, vol. 182(1), pages 113-126, October.
    27. Xin Chen & David Simchi-Levi, 2004. "Coordinating Inventory Control and Pricing Strategies with Random Demand and Fixed Ordering Cost: The Finite Horizon Case," Operations Research, INFORMS, vol. 52(6), pages 887-896, December.
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