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On lot-sizing problem in a random yield production system under loss aversion


  • Xiang Li

    () (Nankai University)

  • Yongjian Li

    () (Nankai University)


Based on the framework of prospect theory, this paper studies the optimization problem for a random yield production system under loss aversion preference. The objective is to determine production quantity to maximize the expected utility considering loss aversion. We formulate the problem under the scenarios of multiplicative and additive random yield risks, respectively, and prove the uniqueness of the optimal production quantity under each scenario. This optimal production quantity is compared with the one in risk-neutral case, and its relationship on the loss-aversion degree is analyzed. We also explore the sensitivities of the production quantity to the system parameters. It is shown that the optimal production quantity is increasing with shortage penalty and decreasing with holding cost, whereas the sensitivities to market price and production costs are conditional.

Suggested Citation

  • Xiang Li & Yongjian Li, 2016. "On lot-sizing problem in a random yield production system under loss aversion," Annals of Operations Research, Springer, vol. 240(2), pages 415-434, May.
  • Handle: RePEc:spr:annopr:v:240:y:2016:i:2:d:10.1007_s10479-014-1715-2
    DOI: 10.1007/s10479-014-1715-2

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    References listed on IDEAS

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    Cited by:

    1. Kirshner, Samuel N. & Shao, Lusheng, 2018. "Internal and external reference effects in a two-tier supply chain," European Journal of Operational Research, Elsevier, vol. 267(3), pages 944-957.
    2. Peng, Hongjun & Pang, Tao, 2019. "Optimal strategies for a three-level contract-farming supply chain with subsidy," International Journal of Production Economics, Elsevier, vol. 216(C), pages 274-286.


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