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Newsvendor with multiple options of expediting

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  • Fu, Ke
  • Xu, Jiayan
  • Miao, Zhaowei

Abstract

We consider a manufacturer facing single period inventory planning problem with uncertain demand and multiple options of expediting. The demand comes at a certain time in the future. The manufacturer may order the product in advance with a relatively low cost. She can order additional amount by expediting after the demand is realized. There are a number of expediting options, each of which corresponds to a certain delivery lead time and a unit procurement price. The unit procurement price is decreasing over delivery lead time. The selling price is also decreasing over time. In this paper, we assume that the manufacturer must deliver all products to the customer in a single shipment. The problem can be formulated as a profit maximization problem. We develop structural properties and show how the optimal solution can be identified efficiently. In addition, we compare our model with the classical newsvendor model and obtain a number of managerial insights.

Suggested Citation

  • Fu, Ke & Xu, Jiayan & Miao, Zhaowei, 2013. "Newsvendor with multiple options of expediting," European Journal of Operational Research, Elsevier, vol. 226(1), pages 94-99.
    • Handle: RePEc:eee:ejores:v:226:y:2013:i:1:p:94-99
    DOI: 10.1016/j.ejor.2012.10.039
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    References listed on IDEAS

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    Cited by:

    1. Cattani, Kyle D., 2016. "Fenced in? Stochastic and deterministic planning models in a time-fenced, rolling-horizon scheduling systemAuthor-Name: DeYong, Gregory D," European Journal of Operational Research, Elsevier, vol. 251(1), pages 85-95.
    2. Bertazzi, Luca & Mogre, Riccardo, 2018. "Dynamic expediting of an urgent order with uncertain progress," European Journal of Operational Research, Elsevier, vol. 267(1), pages 78-85.
    3. Höller, Simon J. & Özsen, Raik & Thonemann, Ulrich W., 2020. "Determining optimal parameters for expediting policies under service level constraints," European Journal of Operational Research, Elsevier, vol. 281(2), pages 274-285.
    4. Yin, Zhe & Wang, Chen & Yin, Qian, 2018. "Coordinating overseas and local sourcing through a capacitated expediting transportation policy," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 118(C), pages 258-271.
    5. DeYong, Gregory D. & Cattani, Kyle D., 2018. "The unlimited newsvendor: A general solution to a class of two-period newsvendor problems," International Journal of Production Economics, Elsevier, vol. 201(C), pages 173-192.
    6. Li, Yanhai & Ou, Jinwen, 2020. "Optimal ordering policy for complementary components with partial backordering and emergency replenishment under spectral risk measure," European Journal of Operational Research, Elsevier, vol. 284(2), pages 538-549.
    7. Sillanpää, Ville & Liesiö, Juuso & Käki, Anssi, 2021. "Procurement decisions over multiple periods under piecewise-linear shortage costs and fixed capacity commitments," Omega, Elsevier, vol. 100(C).

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