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Optimal dynamic pricing and ordering decisions for perishable products

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  • 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
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    1. 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.
    2. 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.
    3. Yehuda Bassok & Ravi Anupindi & Ram Akella, 1999. "Single-Period Multiproduct Inventory Models with Substitution," Operations Research, INFORMS, vol. 47(4), pages 632-642, August.
    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. 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.
    6. Zabel, Edward, 1972. "Multiperiod monopoly under uncertainty," Journal of Economic Theory, Elsevier, vol. 5(3), pages 524-536, December.
    7. 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.
    8. Awi Federgruen & Aliza Heching, 1999. "Combined Pricing and Inventory Control Under Uncertainty," Operations Research, INFORMS, vol. 47(3), pages 454-475, June.
    9. 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.
    10. 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.
    11. 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.
    12. T. M. Whitin, 1955. "Inventory Control and Price Theory," Management Science, INFORMS, vol. 2(1), pages 61-68, October.
    13. 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.
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