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Integration of Inventory and Pricing Decisions with Costly Price Adjustments

Author

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  • Xin Chen

    (Industrial Enterprise and Systems Engineering, University of Illinois at Urbana--Champaign, Urbana, Illinois 61801)

  • Sean X. Zhou

    (Department of Systems Engineering and Engineering Management, The Chinese University of Hong Kong, Hong Kong)

  • Youhua (Frank) Chen

    (Department of Systems Engineering and Engineering Management, The Chinese University of Hong Kong, Hong Kong)

Abstract

Motivated by the widespread adoption of dynamic pricing in industry and the empirical evidence of costly price adjustments, in this paper we consider a periodic-review inventory model with price adjustment costs that consist of both fixed and variable components. In each period, demand is stochastic and price-dependent. The firm needs to coordinate the pricing and inventory replenishment decisions in each period to maximize its total discounted profit over a finite planning horizon. We develop the general model and characterize the optimal policies for two special scenarios, namely, a model with inventory carryover and no fixed price-change costs and a model with fixed price-change costs and no inventory carryover . Finally, we propose an intuitive heuristic policy to tackle the general system whose optimal policy is expected to be very complicated. Our numerical studies show that this heuristic policy performs well.

Suggested Citation

  • Xin Chen & Sean X. Zhou & Youhua (Frank) Chen, 2011. "Integration of Inventory and Pricing Decisions with Costly Price Adjustments," Operations Research, INFORMS, vol. 59(5), pages 1144-1158, October.
  • Handle: RePEc:inm:oropre:v:59:y:2011:i:5:p:1144-1158
    DOI: 10.1287/opre.1110.0946
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    References listed on IDEAS

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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. Awi Federgruen & Aliza Heching, 1999. "Combined Pricing and Inventory Control Under Uncertainty," Operations Research, INFORMS, vol. 47(3), pages 454-475, June.
    3. Levy, Daniel & Bergen, Mark & Dutta, Shantanu & Venable, Robert, 1997. "The Magnitude of Menu Costs: Direct Evidence from Large U.S. Supermarket Chains," EconStor Open Access Articles and Book Chapters, ZBW - Leibniz Information Centre for Economics, vol. 112(3), pages 791-824.
    4. Andrew S. Caplin & Daniel F. Spulber, 1987. "Menu Costs and the Neutrality of Money," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 102(4), pages 703-725.
    5. Louis Eeckhoudt & Christian Gollier & Harris Schlesinger, 1995. "The Risk-Averse (and Prudent) Newsboy," Management Science, INFORMS, vol. 41(5), pages 786-794, May.
    6. Victor Aguirregabiria, 1999. "The Dynamics of Markups and Inventories in Retailing Firms," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 66(2), pages 275-308.
    7. Bergen, Mark & Ritson, Mark & Dutta, Shantanu & Levy, Daniel & Zbaracki, Mark, 2003. "Shattering the Myth of Costless Price Changes," EconStor Open Access Articles and Book Chapters, ZBW - Leibniz Information Centre for Economics, vol. 21(6), pages 663-669.
    8. Mark J. Zbaracki & Mark Ritson & Daniel Levy & Shantanu Dutta & Mark Bergen, 2004. "Managerial and Customer Costs of Price Adjustment: Direct Evidence from Industrial Markets," The Review of Economics and Statistics, MIT Press, vol. 86(2), pages 514-533, May.
    9. McCallum, Bennett T, 1986. "On "Real' and "Sticky-Price' Theories of the Business Cycle," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 18(4), pages 397-414, November.
    10. Eytan Sheshinski & Yoram Weiss, 1977. "Inflation and Costs of Price Adjustment," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 44(2), pages 287-303.
    11. Xin Chen, 2009. "Inventory Centralization Games with Price-Dependent Demand and Quantity Discount," Operations Research, INFORMS, vol. 57(6), pages 1394-1406, December.
    12. Sabri Çelik & Alp Muharremoglu & Sergei Savin, 2009. "Revenue Management with Costly Price Adjustments," Operations Research, INFORMS, vol. 57(5), pages 1206-1219, October.
    13. T. M. Whitin, 1955. "Inventory Control and Price Theory," Management Science, INFORMS, vol. 2(1), pages 61-68, October.
    14. Tsiddon, Daniel, 1991. "On the Stubbornness of Sticky Prices," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 32(1), pages 69-75, February.
    15. Netessine, Serguei, 2006. "Dynamic pricing of inventory/capacity with infrequent price changes," European Journal of Operational Research, Elsevier, vol. 174(1), pages 553-580, October.
    16. Jeffrey I. McGill & Garrett J. van Ryzin, 1999. "Revenue Management: Research Overview and Prospects," Transportation Science, INFORMS, vol. 33(2), pages 233-256, May.
    17. Roberts, John M, 1992. "Evidence on Price Adjustment Costs in U.S. Manufacturing Industry," Economic Inquiry, Western Economic Association International, vol. 30(3), pages 399-417, July.
    18. Rotemberg, Julio J, 1982. "Sticky Prices in the United States," Journal of Political Economy, University of Chicago Press, vol. 90(6), pages 1187-1211, December.
    19. Margaret E. Slade & G.R.E.Q.A.M., 1998. "Optimal Pricing with Costly Adjustment: Evidence from Retail-Grocery Prices," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 65(1), pages 87-107.
    20. Woonghee Tim Huh & Ganesh Janakiraman, 2008. "( s, S ) Optimality in Joint Inventory-Pricing Control: An Alternate Approach," Operations Research, INFORMS, vol. 56(3), pages 783-790, June.
    21. Xinxin Hu & Izak Duenyas & Roman Kapuscinski, 2008. "Optimal Joint Inventory and Transshipment Control Under Uncertain Capacity," Operations Research, INFORMS, vol. 56(4), pages 881-897, August.
    22. Konieczny, Jerzy D, 1993. "Variable Price Adjustment Costs," Economic Inquiry, Western Economic Association International, vol. 31(3), pages 488-498, July.
    23. Julio J. Rotemberg, 1982. "Monopolistic Price Adjustment and Aggregate Output," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 49(4), pages 517-531.
    24. 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.
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    3. Brahimi, Nadjib & Absi, Nabil & Dauzère-Pérès, Stéphane & Nordli, Atle, 2017. "Single-item dynamic lot-sizing problems: An updated survey," European Journal of Operational Research, Elsevier, vol. 263(3), pages 838-863.
    4. Bruno Karoubi & R駩s Chenavaz, 2015. "Prices for cash and cash for prices? Theory and evidence on convenient pricing," Applied Economics, Taylor & Francis Journals, vol. 47(38), pages 4102-4115, August.
    5. Ioannis Stamatopoulos & Achal Bassamboo & Antonio Moreno, 2021. "The Effects of Menu Costs on Retail Performance: Evidence from Adoption of the Electronic Shelf Label Technology," Management Science, INFORMS, vol. 67(1), pages 242-256, January.
    6. Ahmadi-Javid, Amir & Hoseinpour, Pooya, 2015. "A location-inventory-pricing model in a supply chain distribution network with price-sensitive demands and inventory-capacity constraints," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 82(C), pages 238-255.
    7. Chen, Jing & Dong, Ming & Rong, Ying & Yang, Liang, 2018. "Dynamic pricing for deteriorating products with menu cost," Omega, Elsevier, vol. 75(C), pages 13-26.

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