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Coping with risk management and fill rate in the loss-averse newsvendor model

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  • Xu, Xinsheng
  • Chan, Chi Kin
  • Langevin, Andre

Abstract

In this paper, we introduce the CVaR (Conditional Value-at-Risk) measure to hedge against the risks for the loss-averse newsvendor. We derive the optimal order quantities for the loss-averse newsvendor to maximize the CVaR objective of utility with and without the shortage cost, respectively. It is shown that when shortage cost is not considered, an increase in the degree of loss aversion leads to a decrease in the fill rate. Therefore the newsvendor should strike a balance between the two conflicting targets in selecting the optimal order quantity. When the shortage cost is taken into account and sufficiently large, it is proved that an increase in the degree of loss aversion leads to an increase in the fill rate. To manage both of the two targets, the newsvendor should order more items in this case. Our sensitivity analysis further verifies that high risk implies high return and low risk comes with low return. Based on the analysis, some management insights for the risk management of the loss-averse newsvendor are presented.

Suggested Citation

  • Xu, Xinsheng & Chan, Chi Kin & Langevin, Andre, 2018. "Coping with risk management and fill rate in the loss-averse newsvendor model," International Journal of Production Economics, Elsevier, vol. 195(C), pages 296-310.
    • Handle: RePEc:eee:proeco:v:195:y:2018:i:c:p:296-310
    DOI: 10.1016/j.ijpe.2017.10.024
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    Citations

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    Cited by:

    1. Chen, Jianxin & Zhang, Tonghua & Zhou, Yong-wu, 2021. "Stochastic sensitivity and dynamical complexity of newsvendor models subject to trade credit," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 181(C), pages 471-486.
    2. Xiaoqing Liu & Felix T. S. Chan & Xinsheng Xu, 2019. "Hedging Risks in the Loss-Averse Newsvendor Problem with Backlogging," Mathematics, MDPI, vol. 7(5), pages 1-23, May.
    3. Wei Liu & Han Zhao & Shiji Song & Wenxuan He & Xiaochen Li, 2021. "Coping with Loss Aversion and Risk Management in the Supply Chain Coordination," Sustainability, MDPI, vol. 13(8), pages 1-18, April.
    4. Xu, Xinsheng & Ji, Ping & Sang, Shuming, 2023. "Supply option purchasing decisions via mismatch cost minimization," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 210(C), pages 260-280.
    5. Felix T. S. Chan & Xinsheng Xu, 2019. "The Loss-Averse Retailer’s Order Decisions Under Risk Management," Mathematics, MDPI, vol. 7(7), pages 1-16, July.
    6. 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.
    7. Zhou, Yan & Chan, Chi Kin & Wong, Kar Hung, 2018. "A multi-period supply chain network equilibrium model considering retailers’ uncertain demands and dynamic loss-averse behaviors," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 118(C), pages 51-76.
    8. Chen, Xiangpeng & Wang, Rongxi & Gao, Jianmin, 2023. "An optimization framework for enterprise quality infrastructure system under coupling constraints," International Journal of Production Economics, Elsevier, vol. 262(C).
    9. Ruozhen Qiu & Yue Yu & Minghe Sun, 2021. "Joint pricing and stocking decisions for a newsvendor problem with loss aversion and reference point effect," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 42(2), pages 275-288, March.
    10. Wei Liu & Shiji Song & Ying Qiao & Han Zhao & Huachang Wang, 2020. "The Loss-Averse Newsvendor Problem with Random Yield and Reference Dependence," Mathematics, MDPI, vol. 8(8), pages 1-15, July.
    11. 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.
    12. Chan, Chi Kin & Zhou, Yan & Wong, Kar Hung, 2019. "An equilibrium model of the supply chain network under multi-attribute behaviors analysis," European Journal of Operational Research, Elsevier, vol. 275(2), pages 514-535.
    13. Xin-Sheng Xu & Felix T. S. Chan, 2019. "Optimal Option Purchasing Decisions for the Risk-Averse Retailer with Shortage Cost," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 36(02), pages 1-25, April.
    14. Deng, Shiming & Li, Wei & Wang, Tian, 2020. "Subsidizing mass adoption of electric vehicles with a risk-averse manufacturer," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 547(C).
    15. Yan, Nina & Jin, Xuyu & Zhong, Hechen & Xu, Xun, 2020. "Loss-averse retailers’ financial offerings to capital-constrained suppliers: loan vs. investment," International Journal of Production Economics, Elsevier, vol. 227(C).
    16. Wei Liu & Shiji Song & Ying Qiao & Han Zhao, 2020. "Supply Chain Coordination with a Loss-Averse Retailer and Combined Contract," Mathematics, MDPI, vol. 8(4), pages 1-20, April.
    17. Chen, Jianxin & Hou, Rui & Zhang, Tonghua & Zhou, Yongwu, 2024. "Newsvendor model for a dyadic supply chain with push-pull strategy under shareholding and risk aversion," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 221(C), pages 645-662.

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