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Joint inventory and pricing control with lagged price responses

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  • Li, Yang
  • Liu, Feng

Abstract

This paper studies the single stage, multiple period joint inventory and pricing planning problem with lagged price response. We prove that the optimal joint inventory and pricing policy takes the form of a state dependent list price base stock policy for the additive linear demand function with a first order auto-regressive distributed lag. Both the base stock level and the list price decisions are determined as functions of the effective price, which captures the current and past pricing impacts. Numerical studies are conducted to examine the impact of the lagged price response on the optimal decisions and the total profit.

Suggested Citation

  • Li, Yang & Liu, Feng, 2021. "Joint inventory and pricing control with lagged price responses," International Journal of Production Economics, Elsevier, vol. 241(C).
    • Handle: RePEc:eee:proeco:v:241:y:2021:i:c:s0925527321002292
    DOI: 10.1016/j.ijpe.2021.108253
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    1. Nerlove, Marc, 1958. "Distributed Lags and Demand Analysis for Agricultural and Other Commodities," Technical Resources 316559, United States Department of Agriculture, Agricultural Marketing Service, Transportation and Marketing Program.
    2. Avinadav, Tal & Herbon, Avi & Spiegel, Uriel, 2013. "Optimal inventory policy for a perishable item with demand function sensitive to price and time," International Journal of Production Economics, Elsevier, vol. 144(2), pages 497-506.
    3. Ralph Breuer & Malte Brettel & Andreas Engelen, 2011. "Incorporating long-term effects in determining the effectiveness of different types of online advertising," Marketing Letters, Springer, vol. 22(4), pages 327-340, November.
    4. John T. Cuddington & Leila Dagher, 2015. "Estimating Short and Long-Run Demand Elasticities: A Primer with Energy-Sector Applications," The Energy Journal, , vol. 36(1), pages 185-210, January.
    5. Marnik G. Dekimpe & Dominique M. Hanssens, 1995. "The Persistence of Marketing Effects on Sales," Marketing Science, INFORMS, vol. 14(1), pages 1-21.
    6. Gupta, Vishal Kumar & Ting, Q.U. & Tiwari, Manoj Kumar, 2019. "Multi-period price optimization problem for omnichannel retailers accounting for customer heterogeneity," International Journal of Production Economics, Elsevier, vol. 212(C), pages 155-167.
    7. 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.
    8. Ioana Popescu & Yaozhong Wu, 2007. "Dynamic Pricing Strategies with Reference Effects," Operations Research, INFORMS, vol. 55(3), pages 413-429, June.
    9. Antonio G. Chessa & Jaap M. J. Murre, 2007. "A Neurocognitive Model of Advertisement Content and Brand Name Recall," Marketing Science, INFORMS, vol. 26(1), pages 130-141, 01-02.
    10. Xin Chen & Peng Hu & Stephen Shum & Yuhan Zhang, 2016. "Dynamic Stochastic Inventory Management with Reference Price Effects," Operations Research, INFORMS, vol. 64(6), pages 1529-1536, December.
    11. Hyun-soo Ahn & Mehmet Gümüş & Philip Kaminsky, 2007. "Pricing and Manufacturing Decisions When Demand Is a Function of Prices in Multiple Periods," Operations Research, INFORMS, vol. 55(6), pages 1039-1057, December.
    12. James E. Martin, 1963. "The Use of Distributed Lag Models Containing Two Lag Parameters in the Estimation of Elasticities of Demand," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 45(5), pages 1474-1481.
    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. Zhan Pang & Frank Y. Chen & Youyi Feng, 2012. "Technical Note---A Note on the Structure of Joint Inventory-Pricing Control with Leadtimes," Operations Research, INFORMS, vol. 60(3), pages 581-587, June.
    15. Awi Federgruen & Aliza Heching, 1999. "Combined Pricing and Inventory Control Under Uncertainty," Operations Research, INFORMS, vol. 47(3), pages 454-475, June.
    16. Maihami, Reza & Nakhai Kamalabadi, Isa, 2012. "Joint pricing and inventory control for non-instantaneous deteriorating items with partial backlogging and time and price dependent demand," International Journal of Production Economics, Elsevier, vol. 136(1), pages 116-122.
    17. M. Güler & Taner Bi̇lgi̇ç & Refi̇k Güllü, 2014. "Joint inventory and pricing decisions with reference effects," IISE Transactions, Taylor & Francis Journals, vol. 46(4), pages 330-343.
    18. Güler, M. Güray & Bilgiç, Taner & Güllü, Refik, 2014. "Joint inventory and pricing decisions when customers are delay sensitive," International Journal of Production Economics, Elsevier, vol. 157(C), pages 302-312.
    19. Herrington, J. Duncan & Dempsey, William A., 2005. "Comparing the Current Effects and Carryover of National-, Regional-, and Local-Sponsor Advertising," Journal of Advertising Research, Cambridge University Press, vol. 45(1), pages 60-72, March.
    20. Breuer, Ralph & Brettel, Malte, 2012. "Short- and Long-term Effects of Online Advertising: Differences between New and Existing Customers," Journal of Interactive Marketing, Elsevier, vol. 26(3), pages 155-166.
    21. Fernando Bernstein & Yang Li & Kevin Shang, 2016. "A Simple Heuristic for Joint Inventory and Pricing Models with Lead Time and Backorders," Management Science, INFORMS, vol. 62(8), pages 2358-2373, August.
    22. Andrew Sweeting, 2012. "Dynamic Pricing Behavior in Perishable Goods Markets: Evidence from Secondary Markets for Major League Baseball Tickets," Journal of Political Economy, University of Chicago Press, vol. 120(6), pages 1133-1172.
    23. Yuyue Song & Saibal Ray & Tamer Boyaci, 2009. "Technical Note---Optimal Dynamic Joint Inventory-Pricing Control for Multiplicative Demand with Fixed Order Costs and Lost Sales," Operations Research, INFORMS, vol. 57(1), pages 245-250, February.
    24. P. B. Seetharaman, 2004. "Modeling Multiple Sources of State Dependence in Random Utility Models: A Distributed Lag Approach," Marketing Science, INFORMS, vol. 23(2), pages 263-271, April.
    25. Eelco Kappe & Ashley Stadler Blank & Wayne S. DeSarbo, 2014. "A General Multiple Distributed Lag Framework for Estimating the Dynamic Effects of Promotions," Management Science, INFORMS, vol. 60(6), pages 1489-1510, June.
    26. Y. June Wu & J. David Fuller, 1996. "An Algorithm for the Multiperiod Market Equilibrium Model with Geometric Distributed Lag Demand," Operations Research, INFORMS, vol. 44(6), pages 1002-1012, December.
    27. Youhua (Frank) Chen & Saibal Ray & Yuyue Song, 2006. "Optimal pricing and inventory control policy in periodic‐review systems with fixed ordering cost and lost sales," Naval Research Logistics (NRL), John Wiley & Sons, vol. 53(2), pages 117-136, March.
    28. 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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