IDEAS home Printed from https://ideas.repec.org/a/spr/mathme/v75y2012i1p29-65.html
   My bibliography  Save this article

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s00186-011-0374-1
    Download Restriction: Access to full text is restricted to subscribers.

    File URL: https://libkey.io/10.1007/s00186-011-0374-1?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Awi Federgruen & Aliza Heching, 1999. "Combined Pricing and Inventory Control Under Uncertainty," Operations Research, INFORMS, vol. 47(3), pages 454-475, June.
    2. 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.
    3. 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.
    4. 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.
    5. 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.
    6. 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.
    7. 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.
    8. 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.
    9. 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.
    10. 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.
    11. Ioana Popescu & Yaozhong Wu, 2007. "Dynamic Pricing Strategies with Reference Effects," Operations Research, INFORMS, vol. 55(3), pages 413-429, June.
    12. 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.
    13. 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.
    14. 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.
    15. 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.
    16. 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.
    17. 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.
    18. 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.
    19. 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.
    20. 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.
    21. 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.
    22. 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.
    23. 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.
    24. 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.
    25. 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.
    26. 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.
    27. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Fenghua Wen & Zhifang He & Xu Gong & Aiming Liu, 2014. "Investors’ Risk Preference Characteristics Based on Different Reference Point," Discrete Dynamics in Nature and Society, Hindawi, vol. 2014, pages 1-9, April.
    2. Wang, Qiang & Zhao, Nenggui & Wu, Jie & Zhu, Qingyuan, 2021. "Optimal pricing and inventory policies with reference price effect and loss-Averse customers," Omega, Elsevier, vol. 99(C).
    3. Malekian, Yaser & Rasti-Barzoki, Morteza, 2019. "A game theoretic approach to coordinate price promotion and advertising policies with reference price effects in a two-echelon supply chain," Journal of Retailing and Consumer Services, Elsevier, vol. 51(C), pages 114-128.
    4. Lin, Zhibing, 2016. "Price promotion with reference price effects in supply chain," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 85(C), pages 52-68.
    5. Chenavaz, Régis & Paraschiv, Corina, 2018. "Dynamic pricing for inventories with reference price effects," Economics - The Open-Access, Open-Assessment E-Journal (2007-2020), Kiel Institute for the World Economy (IfW Kiel), vol. 12, pages 1-16.
    6. M. Güler & Taner Bilgiç & Refik Güllü, 2015. "Joint pricing and inventory control for additive demand models with reference effects," Annals of Operations Research, Springer, vol. 226(1), pages 255-276, March.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. M. Güler & Taner Bilgiç & Refik Güllü, 2015. "Joint pricing and inventory control for additive demand models with reference effects," Annals of Operations Research, Springer, vol. 226(1), pages 255-276, March.
    2. Shining Wu & Qian Liu & Rachel Q. Zhang, 2015. "The Reference Effects on a Retailer’s Dynamic Pricing and Inventory Strategies with Strategic Consumers," Operations Research, INFORMS, vol. 63(6), pages 1320-1335, December.
    3. Zhang, Jie & Chiang, Wei-yu Kevin, 2020. "Durable goods pricing with reference price effects," Omega, Elsevier, vol. 91(C).
    4. Zhang, Juan & Gou, Qinglong & Liang, Liang & Huang, Zhimin, 2013. "Supply chain coordination through cooperative advertising with reference price effect," Omega, Elsevier, vol. 41(2), pages 345-353.
    5. Georgia Perakis & Melvyn Sim & Qinshen Tang & Peng Xiong, 2023. "Robust Pricing and Production with Information Partitioning and Adaptation," Management Science, INFORMS, vol. 69(3), pages 1398-1419, March.
    6. Reiner, Gerald & Fichtinger, Johannes, 2009. "Demand forecasting for supply processes in consideration of pricing and market information," International Journal of Production Economics, Elsevier, vol. 118(1), pages 55-62, March.
    7. Shirin Aslani & Soheil Sibdari & Mohammad Modarres, 2018. "Revenue Management with Customers’ Reference Price: Are the Existing Methods Effective?," Service Science, INFORMS, vol. 10(2), pages 195-214, June.
    8. 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.
    9. Lin, Zhibing, 2016. "Price promotion with reference price effects in supply chain," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 85(C), pages 52-68.
    10. Arieh Gavious & Oded Lowengart, 2012. "Price–quality relationship in the presence of asymmetric dynamic reference quality effects," Marketing Letters, Springer, vol. 23(1), pages 137-161, March.
    11. Li, Yang & Liu, Feng, 2021. "Joint inventory and pricing control with lagged price responses," International Journal of Production Economics, Elsevier, vol. 241(C).
    12. Malekian, Yaser & Rasti-Barzoki, Morteza, 2019. "A game theoretic approach to coordinate price promotion and advertising policies with reference price effects in a two-echelon supply chain," Journal of Retailing and Consumer Services, Elsevier, vol. 51(C), pages 114-128.
    13. Xin Chen & Peng Hu & Zhenyu Hu, 2017. "Efficient Algorithms for the Dynamic Pricing Problem with Reference Price Effect," Management Science, INFORMS, vol. 63(12), pages 4389-4406, December.
    14. Martín-Herrán, Guiomar & Taboubi, Sihem, 2015. "Price coordination in distribution channels: A dynamic perspective," European Journal of Operational Research, Elsevier, vol. 240(2), pages 401-414.
    15. Zhang, Jie & Kevin Chiang, Wei–yu & Liang, Liang, 2014. "Strategic pricing with reference effects in a competitive supply chain," Omega, Elsevier, vol. 44(C), pages 126-135.
    16. Wen Chen & Adam J. Fleischhacker & Michael N. Katehakis, 2015. "Dynamic pricing in a dual‐market environment," Naval Research Logistics (NRL), John Wiley & Sons, vol. 62(7), pages 531-549, October.
    17. Doan, Xuan Vinh & Lei, Xiao & Shen, Siqian, 2020. "Pricing of reusable resources under ambiguous distributions of demand and service time with emerging applications," European Journal of Operational Research, Elsevier, vol. 282(1), pages 235-251.
    18. Zizhuo Wang, 2016. "Technical Note—Intertemporal Price Discrimination via Reference Price Effects," Operations Research, INFORMS, vol. 64(2), pages 290-296, April.
    19. Dye, Chung-Yuan & Yang, Chih-Te, 2016. "Optimal dynamic pricing and preservation technology investment for deteriorating products with reference price effects," Omega, Elsevier, vol. 62(C), pages 52-67.
    20. Gurkan, M. Edib & Tunc, Huseyin & Tarim, S. Armagan, 2022. "The joint stochastic lot sizing and pricing problem," Omega, Elsevier, vol. 108(C).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:mathme:v:75:y:2012:i:1:p:29-65. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.