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Dynamic Inventory–Pricing Control Under Backorder: Demand Estimation and Policy Optimization

Author

Listed:
  • Qi Feng

    (Krannert School of Management, Purdue University, West Lafayette, Indiana 47907)

  • Sirong Luo

    (School of Statistics and Management, Shanghai University of Finance and Economics, Shanghai 200433, China; and Key Laboratory of Mathematical Economics (SUFE), Ministry of Education, Shanghai 200433, China)

  • Dan Zhang

    (Leads School of Business, University of Colorado at Boulder, Boulder, Colorado 80309)

Abstract

Inventory-based dynamic pricing has become a common operations strategy in practice and has received considerable attention from the research community. From an implementation perspective, it is desirable to design a simple policy like a base-stock list-price (BSLP) policy. The existing research on this problem often imposes restrictive conditions to ensure the optimality of a BSLP policy, which limits its applicability in practice. In this paper, we analyze the dynamic inventory and pricing control problem in which the demand follows a generalized additive model (GAM). The GAM overcomes the limitations of several demand models commonly used in the literature, but introduces analytical challenges in analyzing the dynamic program. Via a variable transformation approach, we identify a new set of technical conditions under which a BSLP policy is optimal. These conditions are easy to verify because they depend only on the location and scale parameters of demand as functions of price and are independent of the cost parameters or the distribution of the random demand component. Moreover, although a BSLP policy is optimal under these conditions, the optimal price may not be monotone decreasing in the inventory level. We further demonstrate our results by applying a constrained maximum likelihood estimation procedure to simultaneously estimate the demand function and verify the optimality of a BSLP policy on a retail data set.

Suggested Citation

  • Qi Feng & Sirong Luo & Dan Zhang, 2014. "Dynamic Inventory–Pricing Control Under Backorder: Demand Estimation and Policy Optimization," Manufacturing & Service Operations Management, INFORMS, vol. 16(1), pages 149-160, February.
    • Handle: RePEc:inm:ormsom:v:16:y:2014:i:1:p:149-160
    DOI: 10.1287/msom.2013.0459
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    1. Ronald W. Cotterill & Andrew W. Franklin & Li Yu Ma, 1996. "Measuring Market Power Effects in Differentiated Product Industries: An Application to the Soft Drink Industry," Food Marketing Policy Center Research Reports 032, University of Connecticut, Department of Agricultural and Resource Economics, Charles J. Zwick Center for Food and Resource Policy.
    2. Qing Li & Shaohui Zheng, 2006. "Joint Inventory Replenishment and Pricing Control for Systems with Uncertain Yield and Demand," Operations Research, INFORMS, vol. 54(4), pages 696-705, August.
    3. Yakov Amihud & Haim Mendelson, 1983. "Price Smoothing and Inventory," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 50(1), pages 87-98.
    4. 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.
    5. 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.
    6. Fok, Dennis & Hans Franses, Philip & Paap, Richard, 2007. "Seasonality and non-linear price effects in scanner-data-based market-response models," Journal of Econometrics, Elsevier, vol. 138(1), pages 231-251, May.
    7. Polatoglu, Hakan & Sahin, Izzet, 2000. "Optimal procurement policies under price-dependent demand," International Journal of Production Economics, Elsevier, vol. 65(2), pages 141-171, April.
    8. T. M. Whitin, 1955. "Inventory Control and Price Theory," Management Science, INFORMS, vol. 2(1), pages 61-68, October.
    9. Young, Leslie, 1979. "Uncertainty, Market Structure, and Resource Allocation," Oxford Economic Papers, Oxford University Press, vol. 31(1), pages 47-59, March.
    10. 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.
    11. R. A. Rigby & D. M. Stasinopoulos, 2005. "Generalized additive models for location, scale and shape," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 54(3), pages 507-554, June.
    12. Qi Feng, 2010. "Integrating Dynamic Pricing and Replenishment Decisions Under Supply Capacity Uncertainty," Management Science, INFORMS, vol. 56(12), pages 2154-2172, December.
    13. Vipul Agrawal & Sridhar Seshadri, 2000. "Impact of Uncertainty and Risk Aversion on Price and Order Quantity in the Newsvendor Problem," Manufacturing & Service Operations Management, INFORMS, vol. 2(4), pages 410-423, July.
    14. 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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    Cited by:

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    3. Qi Feng & Sirong Luo & J. George Shanthikumar, 2020. "Integrating Dynamic Pricing with Inventory Decisions Under Lost Sales," Management Science, INFORMS, vol. 66(5), pages 2232-2247, May.
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    8. Xiting Gong & Youhua (Frank) Chen & Quan Yuan, 2022. "Coordinating Inventory and Pricing Decisions Under Total Minimum Commitment Contracts," Production and Operations Management, Production and Operations Management Society, vol. 31(2), pages 511-528, February.
    9. 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.
    10. Jianghua Zhang & Daniel Zhuoyu Long & Rowan Wang & Chi Xie, 2021. "Impact of Penalty Cost on Customers' Booking Decisions," Production and Operations Management, Production and Operations Management Society, vol. 30(6), pages 1603-1614, June.
    11. Qi Feng & J. George Shanthikumar, 2022. "Applications of Stochastic Orders and Stochastic Functions in Inventory and Pricing Problems," Production and Operations Management, Production and Operations Management Society, vol. 31(4), pages 1433-1453, April.

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