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Newsvendor problem with clearance pricing

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  • Mitra, Subrata

Abstract

The newsvendor (NV) problem assumes that the salvage/clearance price at which the leftover inventory is disposed of is a given parameter of the problem. In this paper, we relax this assumption and consider the NV problem with the salvage/clearance price as a decision variable. We have drawn from the literatures on the NV problem and clearance/markdown/dynamic pricing to develop three stochastic models in this paper. In the first model, we assume that while the seasonal demand is exogenous and stochastic, the end-of-season demand is endogenous and deterministic. The second model extends the first model by assuming that the end-of-season demand is endogenous and stochastic. Finally, the third model considers that both the seasonal and end-of-season demands are endogenous and stochastic. We have provided solution procedures for solving the stochastic optimization problems. We have also performed sensitivity analyses to assess the sensitivity of the optimal expected profit and order quantity to different problem parameters. Specifically, we have found that the optimal expected profit is most sensitive to the variable cost per unit, mean seasonal demand and market potential of end-of-season demand. Our models will be useful for retailers of products with a short selling season and a short end-of-season period for clearance sale of leftover inventory such that there is a single replenishment opportunity at the beginning of the season and a single opportunity for setting the salvage price for clearance sale based on the leftover inventory and end-of-season demand pattern. The paper is concluded with possible directions for future research.

Suggested Citation

  • Mitra, Subrata, 2018. "Newsvendor problem with clearance pricing," European Journal of Operational Research, Elsevier, vol. 268(1), pages 193-202.
    • Handle: RePEc:eee:ejores:v:268:y:2018:i:1:p:193-202
    DOI: 10.1016/j.ejor.2018.01.023
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    1. Awi Federgruen & Aliza Heching, 1999. "Combined Pricing and Inventory Control Under Uncertainty," Operations Research, INFORMS, vol. 47(3), pages 454-475, June.
    2. Khouja, Moutaz, 1999. "The single-period (news-vendor) problem: literature review and suggestions for future research," Omega, Elsevier, vol. 27(5), pages 537-553, October.
    3. Mostard, Julien & Teunter, Ruud, 2006. "The newsboy problem with resalable returns: A single period model and case study," European Journal of Operational Research, Elsevier, vol. 169(1), pages 81-96, February.
    4. Youyi Feng & Guillermo Gallego, 1995. "Optimal Starting Times for End-of-Season Sales and Optimal Stopping Times for Promotional Fares," Management Science, INFORMS, vol. 41(8), pages 1371-1391, August.
    5. 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.
    6. George E. Monahan & Nicholas C. Petruzzi & Wen Zhao, 2004. "The Dynamic Pricing Problem from a Newsvendor's Perspective," Manufacturing & Service Operations Management, INFORMS, vol. 6(1), pages 73-91, September.
    7. Jadidi, Omid & Taghipour, Sharareh & Zolfaghari, Saeed, 2016. "A two-price policy for a newsvendor product supply chain with time and price sensitive demand," European Journal of Operational Research, Elsevier, vol. 253(1), pages 132-143.
    8. Xiaohuan Wang & Zhi-Ping Fan & Zheng Liu, 2016. "Optimal markdown policy of perishable food under the consumer price fairness perception," International Journal of Production Research, Taylor & Francis Journals, vol. 54(19), pages 5811-5828, October.
    9. Reimann, Marc, 2011. "Speculative production and anticipative reservation of reactive capacity by a multi-product newsvendor," European Journal of Operational Research, Elsevier, vol. 211(1), pages 35-46, May.
    10. Wu, Meng & Zhu, Stuart X. & Teunter, Ruud H., 2014. "A risk-averse competitive newsvendor problem under the CVaR criterion," International Journal of Production Economics, Elsevier, vol. 156(C), pages 13-23.
    11. Gabriel Bitran & René Caldentey & Susana Mondschein, 1998. "Coordinating Clearance Markdown Sales of Seasonal Products in Retail Chains," Operations Research, INFORMS, vol. 46(5), pages 609-624, October.
    12. Gabriel R. Bitran & Susana V. Mondschein, 1997. "Periodic Pricing of Seasonal Products in Retailing," Management Science, INFORMS, vol. 43(1), pages 64-79, January.
    13. Gérard P. Cachon & A. Gürhan Kök, 2007. "Implementation of the Newsvendor Model with Clearance Pricing: How to (and How Not to) Estimate a Salvage Value," Manufacturing & Service Operations Management, INFORMS, vol. 9(3), pages 276-290, October.
    14. 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.
    15. Mostard, Julien & de Koster, Rene & Teunter, Ruud, 2005. "The distribution-free newsboy problem with resalable returns," International Journal of Production Economics, Elsevier, vol. 97(3), pages 329-342, September.
    16. 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.
    17. Qin, Yan & Wang, Ruoxuan & Vakharia, Asoo J. & Chen, Yuwen & Seref, Michelle M.H., 2011. "The newsvendor problem: Review and directions for future research," European Journal of Operational Research, Elsevier, vol. 213(2), pages 361-374, September.
    18. Xu, Minghui & Chen, Youhua (Frank) & Xu, Xiaolin, 2010. "The effect of demand uncertainty in a price-setting newsvendor model," European Journal of Operational Research, Elsevier, vol. 207(2), pages 946-957, December.
    19. Xu, Minghui & Lu, Ye, 2013. "The effect of supply uncertainty in price-setting newsvendor models," European Journal of Operational Research, Elsevier, vol. 227(3), pages 423-433.
    20. Abad, Prakash, 2014. "Determining optimal price and order size for a price setting newsvendor under cycle service level," International Journal of Production Economics, Elsevier, vol. 158(C), pages 106-113.
    21. 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.
    22. Zhang, Ren-Qian & Zhang, Lan-Kang & Zhou, Wen-Hui & Saigal, Romesh & Wang, Hui-Wen, 2014. "The multi-item newsvendor model with cross-selling and the solution when demand is jointly normally distributed," European Journal of Operational Research, Elsevier, vol. 236(1), pages 147-159.
    23. Vlachos, Dimitrios & Dekker, Rommert, 2003. "Return handling options and order quantities for single period products," European Journal of Operational Research, Elsevier, vol. 151(1), pages 38-52, November.
    24. Wu, Meng & Zhu, Stuart X. & Teunter, Ruud H., 2013. "The risk-averse newsvendor problem with random capacity," European Journal of Operational Research, Elsevier, vol. 231(2), pages 328-336.
    25. 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.
    26. Karakul, M., 2008. "Joint pricing and procurement of fashion products in the existence of clearance markets," International Journal of Production Economics, Elsevier, vol. 114(2), pages 487-506, August.
    27. Khanra, Avijit & Soman, Chetan & Bandyopadhyay, Tathagata, 2014. "Sensitivity analysis of the newsvendor model," European Journal of Operational Research, Elsevier, vol. 239(2), pages 403-412.
    28. T. M. Whitin, 1955. "Inventory Control and Price Theory," Management Science, INFORMS, vol. 2(1), pages 61-68, October.
    29. Choi, Sungyong & Ruszczynski, Andrzej, 2011. "A multi-product risk-averse newsvendor with exponential utility function," European Journal of Operational Research, Elsevier, vol. 214(1), pages 78-84, October.
    30. Matsuyama, Keisuke, 2006. "The multi-period newsboy problem," European Journal of Operational Research, Elsevier, vol. 171(1), pages 170-188, May.
    31. Hsieh, Tsu-Pang & Dye, Chung-Yuan, 2017. "Optimal dynamic pricing for deteriorating items with reference price effects when inventories stimulate demand," European Journal of Operational Research, Elsevier, vol. 262(1), pages 136-150.
    32. Stephen A. Smith & Dale D. Achabal, 1998. "Clearance Pricing and Inventory Policies for Retail Chains," Management Science, INFORMS, vol. 44(3), pages 285-300, March.
    33. Khouja, Moutaz, 1995. "The newsboy problem under progressive multiple discounts," European Journal of Operational Research, Elsevier, vol. 84(2), pages 458-466, July.
    34. Felipe Caro & Jérémie Gallien, 2012. "Clearance Pricing Optimization for a Fast-Fashion Retailer," Operations Research, INFORMS, vol. 60(6), pages 1404-1422, December.
    35. Vipul Agrawal & Sridhar Seshadri, 2000. "Impact of Uncertainty and Risk Aversion on Price and Order Quantity in the Newsvendor Problem," Manufacturing & Service Operations Management, INFORMS, vol. 2(4), pages 410-423, July.
    36. Wang, Charles X. & Webster, Scott, 2009. "Markdown money contracts for perishable goods with clearance pricing," European Journal of Operational Research, Elsevier, vol. 196(3), pages 1113-1122, August.
    37. 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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