IDEAS home Printed from https://ideas.repec.org/a/eee/proeco/v157y2014icp39-48.html
   My bibliography  Save this article

Optimal dynamic pricing and ordering decisions for perishable products

Author

Listed:
  • Chew, Ek Peng
  • Lee, Chulung
  • Liu, Rujing
  • Hong, Ki-sung
  • Zhang, Anming

Abstract

In this paper, we determine the order quantity and the prices for a perishable product with a multiple period lifetime. Demands for products of different ages are dependent on the prices of mutually “substitutable” products. The problem for a product with lifetime of two periods is first analyzed and the stochastic dynamic programming model is developed. Given the inventory level for the old product (product of age 2), the expected profit is a concave function of the order quantity, the price of the new product (product of age 1) and the discounted price of the old product (product of age 2). The computational results show that the total profit significantly increases when demand transfers between products of different ages are considered. For a product with lifetime of longer than two periods, a heuristic based on the optimal solution for a single period problem is proposed for a multiple period problem.

Suggested Citation

  • Chew, Ek Peng & Lee, Chulung & Liu, Rujing & Hong, Ki-sung & Zhang, Anming, 2014. "Optimal dynamic pricing and ordering decisions for perishable products," International Journal of Production Economics, Elsevier, vol. 157(C), pages 39-48.
    • Handle: RePEc:eee:proeco:v:157:y:2014:i:c:p:39-48
    DOI: 10.1016/j.ijpe.2013.12.022
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0925527313005811
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.ijpe.2013.12.022?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. Gaimon, Cheryl & Singhal, Vinod, 1992. "Flexibility and the choice of manufacturing facilities under short product life cycles," European Journal of Operational Research, Elsevier, vol. 60(2), pages 211-223, July.
    3. Hau L. Lee & Kut C. So & Christopher S. Tang, 2000. "The Value of Information Sharing in a Two-Level Supply Chain," Management Science, INFORMS, vol. 46(5), pages 626-643, May.
    4. Wai Hung Wong & Anming Zhang & Yer Van Hui & Lawrence C. Leung, 2009. "Optimal Baggage-Limit Policy: Airline Passenger and Cargo Allocation," Transportation Science, INFORMS, vol. 43(3), pages 355-369, August.
    5. Guillermo Gallego & Garrett van Ryzin, 1997. "A Multiproduct Dynamic Pricing Problem and Its Applications to Network Yield Management," Operations Research, INFORMS, vol. 45(1), pages 24-41, February.
    6. 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.
    7. Chew, Ek Peng & Lee, Chulung & Liu, Rujing, 2009. "Joint inventory allocation and pricing decisions for perishable products," International Journal of Production Economics, Elsevier, vol. 120(1), pages 139-150, July.
    8. Zabel, Edward, 1972. "Multiperiod monopoly under uncertainty," Journal of Economic Theory, Elsevier, vol. 5(3), pages 524-536, December.
    9. T. M. Whitin, 1955. "Inventory Control and Price Theory," Management Science, INFORMS, vol. 2(1), pages 61-68, October.
    10. P. L. Abad, 1996. "Optimal Pricing and Lot-Sizing Under Conditions of Perishability and Partial Backordering," Management Science, INFORMS, vol. 42(8), pages 1093-1104, August.
    11. Yehuda Bassok & Ravi Anupindi & Ram Akella, 1999. "Single-Period Multiproduct Inventory Models with Substitution," Operations Research, INFORMS, vol. 47(4), pages 632-642, August.
    12. 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.
    13. Polatoglu, L. Hakan, 1991. "Optimal order quantity and pricing decisions in single-period inventory systems," International Journal of Production Economics, Elsevier, vol. 23(1-3), pages 175-185, 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. Hao Li & Qing Xiao & Ting Peng, 2023. "Optimal Pricing Strategy of New Products and Remanufactured Products Considering Consumers’ Switching Purchase Behavior," Sustainability, MDPI, vol. 15(6), pages 1-26, March.
    2. Janssen, Larissa & Claus, Thorsten & Sauer, Jürgen, 2016. "Literature review of deteriorating inventory models by key topics from 2012 to 2015," International Journal of Production Economics, Elsevier, vol. 182(C), pages 86-112.
    3. Rabbani, Masoud & Pourmohammad Zia, Nadia & Rafiei, Hamed, 2016. "Joint optimal dynamic pricing and replenishment policies for items with simultaneous quality and physical quantity deterioration," Applied Mathematics and Computation, Elsevier, vol. 287, pages 149-160.
    4. Nur Ayvaz Çavdaroğlu, 2020. "Joint Pricing and Ordering Problem with Charitable Donations," Sustainability, MDPI, vol. 12(17), pages 1-18, August.
    5. Babaee, Sara & Araghi, Mojtaba & Rostami, Borzou, 2022. "Coordinating transportation and pricing policies for perishable products," Transportation Research Part B: Methodological, Elsevier, vol. 164(C), pages 105-125.
    6. Hongliang Li & Jun Liu & Jiangjie Qiu & Yunsen Zhou & Xu Zhang & Yuming Wang & Wei Guo, 2024. "ARIMA-Driven Vegetable Pricing and Restocking Strategy for Dual Optimization of Freshness and Profitability in Supermarket Perishables," Sustainability, MDPI, vol. 16(10), pages 1-26, May.
    7. Miao, Jie & Liu, Aijun & Wang, Ruiyao & Lu, Hui, 2022. "The influence of information asymmetry on the strategic inventory of deteriorating commodity," Omega, Elsevier, vol. 107(C).
    8. Liu, Wenqian & Ke, Ginger Y. & Chen, Jian & Zhang, Lianmin, 2020. "Scheduling the distribution of blood products: A vendor-managed inventory routing approach," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 140(C).
    9. Zhao, Yan & Li, Yanhui & Yao, Qi & Guan, Xu, 2023. "Dual-channel retailing strategy vs. omni-channel buy-online-and-pick-up-in-store behaviors with reference freshness effect," International Journal of Production Economics, Elsevier, vol. 263(C).
    10. Kim, Sang-Won, 2015. "The impact of customer buying behavior on the optimal allocation decisions," International Journal of Production Economics, Elsevier, vol. 163(C), pages 71-88.
    11. Tong, Tingting & Dai, Hongyan & Xiao, Qin & Yan, Nina, 2020. "Will dynamic pricing outperform? Theoretical analysis and empirical evidence from O2O on-demand food service market," International Journal of Production Economics, Elsevier, vol. 219(C), pages 375-385.
    12. Zhang, Jianxiong & Wang, Yu & Lu, Lihao & Tang, Wansheng, 2015. "Optimal dynamic pricing and replenishment cycle for non-instantaneous deterioration items with inventory-level-dependent demand," International Journal of Production Economics, Elsevier, vol. 170(PA), pages 136-145.
    13. 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.
    14. Zhang, Jianxiong & Liu, Guowei & Zhang, Qiao & Bai, Zhenyu, 2015. "Coordinating a supply chain for deteriorating items with a revenue sharing and cooperative investment contract," Omega, Elsevier, vol. 56(C), pages 37-49.
    15. Kouki, Chaaben & Jouini, Oualid, 2015. "On the effect of lifetime variability on the performance of inventory systems," International Journal of Production Economics, Elsevier, vol. 167(C), pages 23-34.
    16. Pırıl Tekin & Rızvan Erol, 2017. "A New Dynamic Pricing Model for the Effective Sustainability of Perishable Product Life Cycle," Sustainability, MDPI, vol. 9(8), pages 1-22, July.
    17. Chernonog, Tatyana & Avinadav, Tal, 2019. "Pricing and advertising in a supply chain of perishable products under asymmetric information," International Journal of Production Economics, Elsevier, vol. 209(C), pages 249-264.
    18. Qi Chen & Qi Xu & Wenjie Wang, 2019. "Optimal Policies for the Pricing and Replenishment of Fashion Apparel considering the Effect of Fashion Level," Complexity, Hindawi, vol. 2019, pages 1-12, February.
    19. Buisman, M.E. & Haijema, R. & Bloemhof-Ruwaard, J.M., 2019. "Discounting and dynamic shelf life to reduce fresh food waste at retailers," International Journal of Production Economics, Elsevier, vol. 209(C), pages 274-284.
    20. Jing Lu & Jianxiong Zhang & Fuxiao Lu & Wansheng Tang, 2020. "Optimal pricing on an age-specific inventory system for perishable items," Operational Research, Springer, vol. 20(2), pages 605-625, June.
    21. 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.

    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. Hong, Ki-sung & Lee, Chulung, 2013. "Optimal time-based consolidation policy with price sensitive demand," International Journal of Production Economics, Elsevier, vol. 143(2), pages 275-284.
    2. 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.
    3. 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.
    4. 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.
    5. 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.
    6. 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.
    7. Nur Ayvaz Çavdaroğlu, 2020. "Joint Pricing and Ordering Problem with Charitable Donations," Sustainability, MDPI, vol. 12(17), pages 1-18, August.
    8. Reza Maihami & Behrooz Karimi & Seyyed Mohammad Taghi Fatemi Ghomi, 2017. "Effect of two-echelon trade credit on pricing-inventory policy of non-instantaneous deteriorating products with probabilistic demand and deterioration functions," Annals of Operations Research, Springer, vol. 257(1), pages 237-273, October.
    9. Gal Raz & Evan L. Porteus, 2006. "A Fractiles Perspective to the Joint Price/Quantity Newsvendor Model," Management Science, INFORMS, vol. 52(11), pages 1764-1777, November.
    10. Li, Yang & Liu, Feng, 2021. "Joint inventory and pricing control with lagged price responses," International Journal of Production Economics, Elsevier, vol. 241(C).
    11. 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.
    12. Chew, Ek Peng & Lee, Chulung & Liu, Rujing, 2009. "Joint inventory allocation and pricing decisions for perishable products," International Journal of Production Economics, Elsevier, vol. 120(1), pages 139-150, July.
    13. Awi Federgruen & Aliza Heching, 1999. "Combined Pricing and Inventory Control Under Uncertainty," Operations Research, INFORMS, vol. 47(3), pages 454-475, June.
    14. Achim I. Czerny & Erik T. Verhoef & Anming Zhang, 2015. "A Theory of Continuous Uncertainty Types," Tinbergen Institute Discussion Papers 15-065/VIII, Tinbergen Institute.
    15. 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.
    16. 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.
    17. Wang, Xiaojun & Li, Dong, 2012. "A dynamic product quality evaluation based pricing model for perishable food supply chains," Omega, Elsevier, vol. 40(6), pages 906-917.
    18. Yong Liu & Michael J. Fry & Amitabh S. Raturi, 2006. "Vertically restrictive pricing in supply chains with price‐dependent demand," Naval Research Logistics (NRL), John Wiley & Sons, vol. 53(6), pages 485-501, September.
    19. 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.
    20. 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.

    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:eee:proeco:v:157:y:2014:i:c:p:39-48. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/ijpe .

    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.