IDEAS home Printed from https://ideas.repec.org/a/wly/navres/v56y2009i2p175-190.html
   My bibliography  Save this article

Coordination of pricing and inventory control across products

Author

Listed:
  • Kaijie Zhu
  • Ulrich W. Thonemann

Abstract

We consider the joint pricing and inventory‐control problem for a retailer who orders, stocks, and sells two products. Cross‐price effects exist between the two products, which means that the demand of each product depends on the prices of both products. We derive the optimal pricing and inventory‐control policy and show that this policy differs from the base‐stock list‐price policy, which is optimal for the one‐product problem. We find that the retailer can significantly improve profits by managing the two products jointly as opposed to independently, especially when the cross‐price demand elasticity is high. We also find that the retailer can considerably improve profits by using dynamic pricing as opposed to static pricing, especially when the demand is nonstationary. © 2009 Wiley Periodicals, Inc. Naval Research Logistics, 2009

Suggested Citation

  • Kaijie Zhu & Ulrich W. Thonemann, 2009. "Coordination of pricing and inventory control across products," Naval Research Logistics (NRL), John Wiley & Sons, vol. 56(2), pages 175-190, March.
    • Handle: RePEc:wly:navres:v:56:y:2009:i:2:p:175-190
    DOI: 10.1002/nav.20340
    as

    Download full text from publisher

    File URL: https://doi.org/10.1002/nav.20340
    Download Restriction: no
    File URL: https://libkey.io/10.1002/nav.20340?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
    ---><---

    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. Richard V. Evans, 1967. "Inventory control of a multiproduct system with a limited production resource," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 14(2), pages 173-184.
    3. Arvind Rajan & Richard Rakesh, 1992. "Dynamic Pricing and Ordering Decisions by a Monopolist," Management Science, INFORMS, vol. 38(2), pages 240-262, February.
    4. Brian Downs & Richard Metters & John Semple, 2001. "Managing Inventory with Multiple Products, Lags in Delivery, Resource Constraints, and Lost Sales: A Mathematical Programming Approach," Management Science, INFORMS, vol. 47(3), pages 464-479, March.
    5. Harvey M. Wagner & Thomson M. Whitin, 1958. "Dynamic Version of the Economic Lot Size Model," Management Science, INFORMS, vol. 5(1), pages 89-96, October.
    6. S. Chan Choi, 1991. "Price Competition in a Channel Structure with a Common Retailer," Marketing Science, INFORMS, vol. 10(4), pages 271-296.
    7. L. Joseph Thomas, 1974. "Technical Note—Price and Production Decisions with Random Demand," Operations Research, INFORMS, vol. 22(3), pages 513-518, June.
    8. Gregory A. DeCroix & Antonio Arreola-Risa, 1998. "Optimal Production and Inventory Policy for Multiple Products Under Resource Constraints," Management Science, INFORMS, vol. 44(7), pages 950-961, July.
    9. Paul Glasserman, 1996. "Allocating Production Capacity Among Multiple Products," Operations Research, INFORMS, vol. 44(5), pages 724-734, October.
    10. Stephen M. Gilbert, 2000. "Coordination of Pricing and Multiple-Period Production Across Multiple Constant Priced Goods," Management Science, INFORMS, vol. 46(12), pages 1602-1616, December.
    11. Howard Kunreuther & Linus Schrage, 1973. "Joint Pricing and Inventory Decisions for Constant Priced Items," Management Science, INFORMS, vol. 19(7), pages 732-738, March.
    12. 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.
    13. Morris A. Cohen, 1977. "Joint pricing and ordering policy for exponentially decaying inventory with known demand," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 24(2), pages 257-268, June.
    14. Steven Nahmias & Charles P. Schmidt, 1984. "An efficient heuristic for the multi‐item newsboy problem with a single constraint," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 31(3), pages 463-474, September.
    15. Gunnar T. Thowsen, 1975. "A dynamic, nonstationary inventory problem for a price/quantity setting firm," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 22(3), pages 461-476, September.
    16. Klaus Zoller, 1977. "Deterministic Multi-Item Inventory Systems with Limited Capacity," Management Science, INFORMS, vol. 24(4), pages 451-455, December.
    17. 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.
    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. Prashant Chintapalli, 2015. "Simultaneous pricing and inventory management of deteriorating perishable products," Annals of Operations Research, Springer, vol. 229(1), pages 287-301, June.
    2. Fang, Fei & Nguyen, Tri-Dung & Currie, Christine S.M., 2021. "Joint pricing and inventory decisions for substitutable and perishable products under demand uncertainty," European Journal of Operational Research, Elsevier, vol. 293(2), pages 594-602.
    3. Jalali, Hamed & Carmen, Raïsa & Van Nieuwenhuyse, Inneke & Boute, Robert, 2019. "Quality and pricing decisions in production/inventory systems," European Journal of Operational Research, Elsevier, vol. 272(1), pages 195-206.
    4. Liao Wang & Jin Yao & Xiaowei Zhang, 2022. "How Does Risk Hedging Impact Operations? Insights from a Price-Setting Newsvendor Model," Papers 2201.01026, arXiv.org, revised Jun 2023.
    5. Bhatia, Nishika & Gülpınar, Nalan & Aydın, Nurşen, 2020. "Dynamic production-pricing strategies for multi-generation products under uncertainty," International Journal of Production Economics, Elsevier, vol. 230(C).
    6. Gurkan, M. Edib & Tunc, Huseyin & Tarim, S. Armagan, 2022. "The joint stochastic lot sizing and pricing problem," Omega, Elsevier, vol. 108(C).
    7. Awi Federgruen & Nan Yang, 2011. "TECHNICAL NOTE---Procurement Strategies with Unreliable Suppliers," Operations Research, INFORMS, vol. 59(4), pages 1033-1039, August.
    8. Babich, Volodymyr & Birge, John, 2021. "The Interface of Finance, Operations, and Risk Management," Foundations and Trends(R) in Technology, Information and Operations Management, now publishers, vol. 15(1-2), pages 1-203, June.

    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. 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.
    2. Xiong‐zhi Wang & Guo‐qing Wang, 2019. "Integrating dynamic pricing and inventory control for fresh‐agri product under consumer choice," Australian Economic Papers, Wiley Blackwell, vol. 58(1), pages 96-111, March.
    3. Hall, Joseph M. & Kopalle, Praveen K. & Krishna, Aradhna, 2010. "Retailer Dynamic Pricing and Ordering Decisions: Category Management versus Brand-by-Brand Approaches," Journal of Retailing, Elsevier, vol. 86(2), pages 172-183.
    4. Oben Ceryan & Ozge Sahin & Izak Duenyas, 2013. "Dynamic Pricing of Substitutable Products in the Presence of Capacity Flexibility," Manufacturing & Service Operations Management, INFORMS, vol. 15(1), pages 86-101, April.
    5. Lap Mui Ann Chan & David Simchi-Levi & Julie Swann, 2006. "Pricing, Production, and Inventory Policies for Manufacturing with Stochastic Demand and Discretionary Sales," Manufacturing & Service Operations Management, INFORMS, vol. 8(2), pages 149-168, January.
    6. 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.
    7. Sirong Luo & Jianrong Wang, 2017. "A technical note on the dynamic nonstationary inventory-pricing control model with lost sale," International Journal of Production Research, Taylor & Francis Journals, vol. 55(19), pages 5816-5825, October.
    8. Bhatia, Nishika & Gülpınar, Nalan & Aydın, Nurşen, 2020. "Dynamic production-pricing strategies for multi-generation products under uncertainty," International Journal of Production Economics, Elsevier, vol. 230(C).
    9. Gurkan, M. Edib & Tunc, Huseyin & Tarim, S. Armagan, 2022. "The joint stochastic lot sizing and pricing problem," Omega, Elsevier, vol. 108(C).
    10. Zhi-Long Chen & Nicholas G. Hall, 2010. "The Coordination of Pricing and Scheduling Decisions," Manufacturing & Service Operations Management, INFORMS, vol. 12(1), pages 77-92, April.
    11. Peng Hu & Ye Lu & Miao Song, 2019. "Joint Pricing and Inventory Control with Fixed and Convex/Concave Variable Production Costs," Production and Operations Management, Production and Operations Management Society, vol. 28(4), pages 847-877, April.
    12. Sandun C. Perera & Suresh P. Sethi, 2023. "A survey of stochastic inventory models with fixed costs: Optimality of (s, S) and (s, S)‐type policies—Discrete‐time case," Production and Operations Management, Production and Operations Management Society, vol. 32(1), pages 131-153, January.
    13. Shiming Deng & Candace A. Yano, 2006. "Joint Production and Pricing Decisions with Setup Costs and Capacity Constraints," Management Science, INFORMS, vol. 52(5), pages 741-756, May.
    14. Vasiliki Kostami, 2020. "Price and Lead time Disclosure Strategies in Inventory Systems," Production and Operations Management, Production and Operations Management Society, vol. 29(12), pages 2760-2788, December.
    15. Hong Chen & Zhan Zhang, 2014. "Technical Note—Joint Inventory and Pricing Control with General Additive Demand," Operations Research, INFORMS, vol. 62(6), pages 1335-1343, December.
    16. Zheng Shi & Zheng Wen, 2014. "Optimal Sales Discount Decision Model with Fixed Ordered Quantities," Journal of Systems Science and Information, De Gruyter, vol. 2(4), pages 345-357, August.
    17. Fangruo Chen & Awi Federgruen & Yu-Sheng Zheng, 2001. "Near-Optimal Pricing and Replenishment Strategies for a Retail/Distribution System," Operations Research, INFORMS, vol. 49(6), pages 839-853, December.
    18. 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.
    19. Chua, Geoffrey A. & Mokhlesi, Reza & Sainathan, Arvind, 2017. "Optimal Discounting and Replenishment Policies for Perishable Products," International Journal of Production Economics, Elsevier, vol. 186(C), pages 8-20.
    20. Elodie Adida & Georgia Perakis, 2007. "A nonlinear continuous time optimal control model of dynamic pricing and inventory control with no backorders," Naval Research Logistics (NRL), John Wiley & Sons, vol. 54(7), pages 767-795, October.

    More about this item

    Statistics

    Access and download statistics

    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:wly:navres:v:56:y:2009:i:2:p:175-190. 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: Wiley Content Delivery (email available below). General contact details of provider: https://doi.org/10.1002/(ISSN)1520-6750 .

    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.