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The loss‐averse newsvendor problem with supply options

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  • Chung‐Yee Lee
  • Xi Li
  • Mingzhu Yu

Abstract

In this article, we consider a loss‐averse newsvendor with stochastic demand. The newsvendor might procure options when demand is unknown, and decide how many options to execute only after demand is revealed. If the newsvendor reserves too many options, he would incur high reservation costs. Yet reserving too few could result in lost sales. So the newsvendor faces a trade‐off between reservation costs and losing sales. When there are multiple options available, the newsvendor has to consider how many units of each to reserve by studying the trade‐off between flexibility and costs. We show how the newsvendor's loss aversion behavior affects his ordering decision, and propose an efficient algorithm to compute his optimal solution in the general case with n options. We also present examples showing how the newsvendor's ordering strategy changes as loss aversion rises. © 2014 Wiley Periodicals, Inc. 62:46–59, 2015

Suggested Citation

  • Chung‐Yee Lee & Xi Li & Mingzhu Yu, 2015. "The loss‐averse newsvendor problem with supply options," Naval Research Logistics (NRL), John Wiley & Sons, vol. 62(1), pages 46-59, February.
  • Handle: RePEc:wly:navres:v:62:y:2015:i:1:p:46-59
    DOI: 10.1002/nav.21613
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    References listed on IDEAS

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    Cited by:

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    2. Bai, Tian & Wu, Meng & Zhu, Stuart X., 2019. "Pricing and ordering by a loss averse newsvendor with reference dependence," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 131(C), pages 343-365.
    3. Xu, Xinsheng & Ji, Ping & Chan, Felix T.S., 2022. "On maximizing a loss-averse buyer’s expected utility in a multi-sourcing problem," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 202(C), pages 388-404.
    4. Wang, Chong & Chen, Jing & Chen, Xu, 2019. "The impact of customer returns and bidirectional option contract on refund price and order decisions," European Journal of Operational Research, Elsevier, vol. 274(1), pages 267-279.
    5. Tsan-Ming Choi, 2018. "Impacts of retailer’s risk averse behaviors on quick response fashion supply chain systems," Annals of Operations Research, Springer, vol. 268(1), pages 239-257, September.
    6. Wu, Chengfeng & Liu, Xin & Li, Annan, 2021. "A loss-averse retailer–supplier supply chain model under trade credit in a supplier-Stackelberg game," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 182(C), pages 353-365.
    7. Wentao Yi & Zhongwei Feng & Chunqiao Tan & Yuzhong Yang, 2021. "Green Supply Chain Management with Nash Bargaining Loss-Averse Reference Dependence," Mathematics, MDPI, vol. 9(24), pages 1-26, December.

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