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Optimal dynamic pricing and ordering of a perishable product under additive effects of price and time on demand

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  • Herbon, Avi
  • Khmelnitsky, Eugene

Abstract

When perishable products, such as dairy products, fruits and vegetables, drugs, or batteries are priced uniformly, without taking into consideration the amount of time remaining until the expiration date, consumers may gravitate towards fresher products, leaving some inventory unsold. A dynamic pricing policy, in which products are priced differently as they approach expiration, may encourage customers to buy less-fresh products, potentially increasing revenue and eliminating waste. Following scarce literature on dynamic pricing of storable perishable items, this paper develops a model to determine a product's optimal replenishment schedule and dynamic price over time, with the aim of maximizing the retailer's profit. Customer demand is assumed to be a pseudo-additive function of price and time since replenishment. Some properties of the optimal pricing and replenishment policy are derived by means of necessary and sufficient conditions of optimality. A number of examples show the dynamics of the optimal policy under different assumptions regarding demand. In particular, we evaluate the extent to which the retailer can benefit from the implementation of a dynamic pricing policy as opposed to a static one, and we show that the optimal policy is highly dependent on the form of demand incorporated into the model.

Suggested Citation

  • Herbon, Avi & Khmelnitsky, Eugene, 2017. "Optimal dynamic pricing and ordering of a perishable product under additive effects of price and time on demand," European Journal of Operational Research, Elsevier, vol. 260(2), pages 546-556.
    • Handle: RePEc:eee:ejores:v:260:y:2017:i:2:p:546-556
    DOI: 10.1016/j.ejor.2016.12.033
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    References listed on IDEAS

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    1. 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.
    2. Guillermo Gallego & Garrett van Ryzin, 1994. "Optimal Dynamic Pricing of Inventories with Stochastic Demand over Finite Horizons," Management Science, INFORMS, vol. 40(8), pages 999-1020, August.
    3. Hui-Ming Wee & Yu, Jonas, 1997. "A deteriorating inventory model with a temporary price discount," International Journal of Production Economics, Elsevier, vol. 53(1), pages 81-90, November.
    4. Wu, Kun-Shan & Ouyang, Liang-Yuh & Yang, Chih-Te, 2006. "An optimal replenishment policy for non-instantaneous deteriorating items with stock-dependent demand and partial backlogging," International Journal of Production Economics, Elsevier, vol. 101(2), pages 369-384, June.
    5. Gupta, Diwakar & Hill, Arthur V. & Bouzdine-Chameeva, Tatiana, 2006. "A pricing model for clearing end-of-season retail inventory," European Journal of Operational Research, Elsevier, vol. 170(2), pages 518-540, April.
    6. Yang, P. C., 2004. "Pricing strategy for deteriorating items using quantity discount when demand is price sensitive," European Journal of Operational Research, Elsevier, vol. 157(2), pages 389-397, September.
    7. 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.
    8. 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.
    9. Wen Zhao & Yu-Sheng Zheng, 2000. "Optimal Dynamic Pricing for Perishable Assets with Nonhomogeneous Demand," Management Science, INFORMS, vol. 46(3), pages 375-388, March.
    10. Yunzeng Wang & Li Jiang & Zuo-Jun Shen, 2004. "Channel Performance Under Consignment Contract with Revenue Sharing," Management Science, INFORMS, vol. 50(1), pages 34-47, January.
    11. Transchel, Sandra & Minner, Stefan, 2009. "The impact of dynamic pricing on the economic order decision," European Journal of Operational Research, Elsevier, vol. 198(3), pages 773-789, November.
    12. T. Roy & K.S. Chaudhuri, 2007. "An inventory model for a deteriorating item with price-dependent demand and special sale," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 2(2), pages 173-187.
    13. Urban, Timothy L. & Baker, R. C., 1997. "Optimal ordering and pricing policies in a single-period environment with multivariate demand and markdowns," European Journal of Operational Research, Elsevier, vol. 103(3), pages 573-583, December.
    14. Urban, Timothy L., 2005. "Inventory models with inventory-level-dependent demand: A comprehensive review and unifying theory," European Journal of Operational Research, Elsevier, vol. 162(3), pages 792-804, May.
    15. Devangan, Lokendra & Amit, R.K. & Mehta, Peeyush & Swami, Sanjeev & Shanker, Kripa, 2013. "Individually rational buyback contracts with inventory level dependent demand," International Journal of Production Economics, Elsevier, vol. 142(2), pages 381-387.
    16. 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.
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