IDEAS home Printed from https://ideas.repec.org/a/eee/ejores/v268y2018i1p193-202.html
   My bibliography  Save this article

Newsvendor problem with clearance pricing

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0377221718300444
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.ejor.2018.01.023?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. 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.
    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. Ma, Shouyu & Jemai, Zied & Bai, Qingguo, 2022. "Optimal pricing and ordering decisions for a retailer using multiple discounts," European Journal of Operational Research, Elsevier, vol. 299(3), pages 1177-1192.
    2. Mahmoud Dehghan Nayeri & Amir-Nader Haghbin & Abdolkarim Mohammadi-Balani & Karim Bayat, 2020. "A multi-objective mean–variance mathematical programming approach to combined phase-out and clearance pricing strategy for seasonal products: case study of a Jeans retailer," Journal of Revenue and Pricing Management, Palgrave Macmillan, vol. 19(3), pages 210-217, June.
    3. Xu, Xianhao & Chen, Cheng & Zou, Bipan & Wang, Hongwei & Li, Zhiwen, 2023. "Shipping before order making: Optimal shipping quantity and pricing decisions under uncertain demand," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 169(C).
    4. Choi, Tsan-Ming & Guo, Shu & Liu, Na & Shi, Xiutian, 2019. "Values of food leftover sharing platforms in the sharing economy," International Journal of Production Economics, Elsevier, vol. 213(C), pages 23-31.
    5. Georgia Perakis & Melvyn Sim & Qinshen Tang & Peng Xiong, 2023. "Robust Pricing and Production with Information Partitioning and Adaptation," Management Science, INFORMS, vol. 69(3), pages 1398-1419, March.
    6. Beullens, Patrick & Ghiami, Yousef, 2022. "Waste reduction in the supply chain of a deteriorating food item – Impact of supply structure on retailer performance," European Journal of Operational Research, Elsevier, vol. 300(3), pages 1017-1034.
    7. Bieniek, Milena, 2021. "The ubiquitous nature of inventory: Vendor Managed Consignment Inventory in adverse market conditions," European Journal of Operational Research, Elsevier, vol. 291(2), pages 411-420.
    8. Xide Zhu & Kevin W. Li & Peijun Guo, 2023. "A bilevel optimization model for the newsvendor problem with the focus theory of choice," 4OR, Springer, vol. 21(3), pages 471-489, September.

    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. Hu, Chaoming & Wan, Zhao Man & Zhu, Saihua & Wan, Zhong, 2022. "An integrated stochastic model and algorithm for constrained multi-item newsvendor problems by two-stage decision-making approach," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 193(C), pages 280-300.
    2. Mehran Ullah & Irfanullah Khan & Biswajit Sarkar, 2019. "Dynamic Pricing in a Multi-Period Newsvendor Under Stochastic Price-Dependent Demand," Mathematics, MDPI, vol. 7(6), pages 1-15, June.
    3. Avittathur, Balram & Biswas, Indranil, 2017. "A note on limited clearance sale inventory model," International Journal of Production Economics, Elsevier, vol. 193(C), pages 647-653.
    4. Wang, Chong & Chen, Jing & Chen, Xu, 2017. "Pricing and order decisions with option contracts in the presence of customer returns," International Journal of Production Economics, Elsevier, vol. 193(C), pages 422-436.
    5. Georgia Perakis & Melvyn Sim & Qinshen Tang & Peng Xiong, 2023. "Robust Pricing and Production with Information Partitioning and Adaptation," Management Science, INFORMS, vol. 69(3), pages 1398-1419, March.
    6. 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.
    7. Bernardo Bertoldi & Chiara Giachino & Alberto Pastore, 2016. "Strategic pricing management in the omnichannel era," MERCATI & COMPETITIVIT?, FrancoAngeli Editore, vol. 2016(4), pages 131-152.
    8. 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.
    9. Wang, Daao & Dimitrov, Stanko & Jian, Lirong, 2020. "Optimal inventory decisions for a risk-averse retailer when offering layaway," European Journal of Operational Research, Elsevier, vol. 284(1), pages 108-120.
    10. Namin, Aidin & Soysal, Gonca P. & Ratchford, Brian T., 2022. "Alleviating demand uncertainty for seasonal goods: An analysis of attribute-based markdown policy for fashion retailers," Journal of Business Research, Elsevier, vol. 145(C), pages 671-681.
    11. Serel, Doğan A., 2017. "A single-period stocking and pricing problem involving stochastic emergency supply," International Journal of Production Economics, Elsevier, vol. 185(C), pages 180-195.
    12. Rubio-Herrero, Javier & Baykal-Gürsoy, Melike, 2020. "Mean-variance analysis of the newsvendor problem with price-dependent, isoelastic demand," European Journal of Operational Research, Elsevier, vol. 283(3), pages 942-953.
    13. Vincent C. Li & Yat-wah Wan & Chi-Leung Chu & Yi-Cheng Lin, 2020. "A Dynamic Programming-Based Heuristic for Markdown Pricing and Inventory Allocation of a Seasonal Product in a Retail Chain," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 37(01), pages 1-30, January.
    14. Brito, Anderson J. & de Almeida, Adiel T., 2012. "Modeling a multi-attribute utility newsvendor with partial backlogging," European Journal of Operational Research, Elsevier, vol. 220(3), pages 820-830.
    15. 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.
    16. Namin, Aidin & Ratchford, Brian T. & Soysal, Gonca P., 2017. "An empirical analysis of demand variations and markdown policies for fashion retailers," Journal of Retailing and Consumer Services, Elsevier, vol. 38(C), pages 126-136.
    17. 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.
    18. Wen Chen & Ying He, 2022. "Dynamic pricing and inventory control with delivery flexibility," Annals of Operations Research, Springer, vol. 317(2), pages 481-508, October.
    19. Avi Herbon & Uriel Spiegel & Joseph Templeman, 2012. "Simulation study of the price differentiation effect in a stochastic deteriorating inventory with heterogeneous consumers -- freshness sensitivity," Applied Economics, Taylor & Francis Journals, vol. 44(24), pages 3101-3119, August.
    20. Wedad Elmaghraby & Altan Gülcü & P{i}nar Keskinocak, 2008. "Designing Optimal Preannounced Markdowns in the Presence of Rational Customers with Multiunit Demands," Manufacturing & Service Operations Management, INFORMS, vol. 10(1), pages 126-148, June.

    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:ejores:v:268:y:2018:i:1:p:193-202. 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/eor .

    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.