IDEAS home Printed from https://ideas.repec.org/a/eee/proeco/v117y2009i2p244-255.html
   My bibliography  Save this article

Multi-product newsvendor problem with value-at-risk considerations

Author

Listed:
  • Özler, Aysun
  • Tan, BarIs
  • Karaesmen, Fikri

Abstract

We consider the single period stochastic inventory (newsvendor) problem with downside risk constraints. The aim in the classical newsvendor problem is maximizing the expected profit. This formulation does not take into account the risk of earning less than a desired target profit or losing more than an acceptable level due to the randomness of demand. We utilize Value at Risk (VaR) as the risk measure in a newsvendor framework and investigate the multi-product newsvendor problem under a VaR constraint. To this end, we first derive the exact distribution function for the two-product newsvendor problem and develop an approximation method for the profit distribution of the N-product case (N>2). A mathematical programming approach is used to determine the solution of the newsvendor problem with a VaR constraint. This approach allows us to handle a wide range of cases including the correlated demand case that yields new results and insights. The accuracy of the approximation method and the effects of the system parameters on the solution are investigated numerically.

Suggested Citation

  • Özler, Aysun & Tan, BarIs & Karaesmen, Fikri, 2009. "Multi-product newsvendor problem with value-at-risk considerations," International Journal of Production Economics, Elsevier, vol. 117(2), pages 244-255, February.
    • Handle: RePEc:eee:proeco:v:117:y:2009:i:2:p:244-255
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0925-5273(08)00360-5
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    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. Mokrane Bouakiz & Matthew J. Sobel, 1992. "Inventory Control with an Exponential Utility Criterion," Operations Research, INFORMS, vol. 40(3), pages 603-608, June.
    2. Gotoh, Jun-ya & Takano, Yuichi, 2007. "Newsvendor solutions via conditional value-at-risk minimization," European Journal of Operational Research, Elsevier, vol. 179(1), pages 80-96, May.
    3. Katerina Simons, 1996. "Value at risk: new approaches to risk management," New England Economic Review, Federal Reserve Bank of Boston, issue Sep, pages 3-13.
    4. Luciano, Elisa & Peccati, Lorenzo & Cifarelli, Donato M., 2003. "VaR as a risk measure for multiperiod static inventory models," International Journal of Production Economics, Elsevier, vol. 81(1), pages 375-384, January.
    5. Louis Eeckhoudt & Christian Gollier & Harris Schlesinger, 1995. "The Risk-Averse (and Prudent) Newsboy," Management Science, INFORMS, vol. 41(5), pages 786-794, May.
    6. Isabelle Huault & V. Perret & S. Charreire-Petit, 2007. "Management," Post-Print halshs-00337676, HAL.
    7. Xin Chen & Melvyn Sim & David Simchi-Levi & Peng Sun, 2007. "Risk Aversion in Inventory Management," Operations Research, INFORMS, vol. 55(5), pages 828-842, October.
    8. Maurice E. Schweitzer & Gérard P. Cachon, 2000. "Decision Bias in the Newsvendor Problem with a Known Demand Distribution: Experimental Evidence," Management Science, INFORMS, vol. 46(3), pages 404-420, March.
    9. Philippe Artzner & Freddy Delbaen & Jean‐Marc Eber & David Heath, 1999. "Coherent Measures of Risk," Mathematical Finance, Wiley Blackwell, vol. 9(3), pages 203-228, July.
    10. E. Sankarasubramanian & S. Kumaraswamy, 1983. "Note---Note on "Optimal Ordering Quantity to Realize a Pre-Determined Level of Profit"," Management Science, INFORMS, vol. 29(4), pages 512-514, April.
    11. Tapiero, Charles S., 2005. "Value at risk and inventory control," European Journal of Operational Research, Elsevier, vol. 163(3), pages 769-775, June.
    12. Vishal Gaur & Sridhar Seshadri, 2005. "Hedging Inventory Risk Through Market Instruments," Manufacturing & Service Operations Management, INFORMS, vol. 7(2), pages 103-120, April.
    13. Zhou, Yan-ju & Chen, Xiao-hong & Wang, Zong-run, 2008. "Optimal ordering quantities for multi-products with stochastic demand: Return-CVaR model," International Journal of Production Economics, Elsevier, vol. 112(2), pages 782-795, April.
    Full references (including those not matched with items on IDEAS)

    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. Chun-Hung Chiu & Tsan-Ming Choi, 2016. "Supply chain risk analysis with mean-variance models: a technical review," Annals of Operations Research, Springer, vol. 240(2), pages 489-507, May.
    2. Sungyong Choi & Andrzej Ruszczyński & Yao Zhao, 2011. "A Multiproduct Risk-Averse Newsvendor with Law-Invariant Coherent Measures of Risk," Operations Research, INFORMS, vol. 59(2), pages 346-364, April.
    3. Li, Xiang & Qi, Xiangtong & Li, Yongjian, 2021. "On sales effort and pricing decisions under alternative risk criteria," European Journal of Operational Research, Elsevier, vol. 293(2), pages 603-614.
    4. Xue, Weili & Ma, Lijun & Shen, Houcai, 2015. "Optimal inventory and hedging decisions with CVaR consideration," International Journal of Production Economics, Elsevier, vol. 162(C), pages 70-82.
    5. 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.
    6. Poormoaied, Saeed & Atan, Zümbül, 2020. "A multi-attribute utility theory approach to ordering policy for perishable items," International Journal of Production Economics, Elsevier, vol. 225(C).
    7. Wu, Meng & Zhu, Stuart X. & Teunter, Ruud H., 2013. "Newsvendor problem with random shortage cost under a risk criterion," International Journal of Production Economics, Elsevier, vol. 145(2), pages 790-798.
    8. Shen, Houcai & Pang, Zhan & Cheng, T.C.E., 2011. "The component procurement problem for the loss-averse manufacturer with spot purchase," International Journal of Production Economics, Elsevier, vol. 132(1), pages 146-153, July.
    9. Kim, Kyoung-Kuk & Park, Kun Soo, 2014. "Transferring and sharing exchange-rate risk in a risk-averse supply chain of a multinational firm," European Journal of Operational Research, Elsevier, vol. 237(2), pages 634-648.
    10. Chaolin Yang & Zhenyu Hu & Sean X. Zhou, 2021. "Multilocation Newsvendor Problem: Centralization and Inventory Pooling," Management Science, INFORMS, vol. 67(1), pages 185-200, January.
    11. Sayın, F. & Karaesmen, F. & Özekici, S., 2014. "Newsvendor model with random supply and financial hedging: Utility-based approach," International Journal of Production Economics, Elsevier, vol. 154(C), pages 178-189.
    12. 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.
    13. Xinsheng, Xu & Zhiqing, Meng & Rui, Shen & Min, Jiang & Ping, Ji, 2015. "Optimal decisions for the loss-averse newsvendor problem under CVaR," International Journal of Production Economics, Elsevier, vol. 164(C), pages 146-159.
    14. Zhou, Yong-Wu & Li, Jicai & Zhong, Yuanguang, 2018. "Cooperative advertising and ordering policies in a two-echelon supply chain with risk-averse agents," Omega, Elsevier, vol. 75(C), pages 97-117.
    15. Sarkar, P. & Wahab, M.I.M. & Fang, L., 2023. "Weather rebate contracts for different risk attitudes of supply chain members," European Journal of Operational Research, Elsevier, vol. 311(1), pages 139-153.
    16. Liu, Weihua & Wang, Yijia, 2015. "Quality control game model in logistics service supply chain based on different combinations of risk attitude," International Journal of Production Economics, Elsevier, vol. 161(C), pages 181-191.
    17. Arıkan, Emel & Fichtinger, Johannes, 2017. "The risk-averse newsvendor problem under spectral risk measures: A classification with extensions," European Journal of Operational Research, Elsevier, vol. 256(1), pages 116-125.
    18. Arcelus, F.J. & Kumar, Satyendra & Srinivasan, G., 2012. "Risk tolerance and a retailer's pricing and ordering policies within a newsvendor framework," Omega, Elsevier, vol. 40(2), pages 188-198, April.
    19. Sun, Qi & Dong, Yucheng & Xu, Weidong, 2013. "Effects of higher order moments on the newsvendor problem," International Journal of Production Economics, Elsevier, vol. 146(1), pages 167-177.
    20. Shifeng Han & Xingzhong Xu, 2018. "NEV supply chain coordination and sustainability considering sales effort and risk aversion under the CVaR criterion," PLOS ONE, Public Library of Science, vol. 13(6), pages 1-39, 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:proeco:v:117:y:2009:i:2:p:244-255. 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.