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Dynamic replenishment from two sources with different yields, costs, and leadtimes

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  • Zhu, Stuart X.

Abstract

We study a single-item periodic-review inventory system with two sources of supply: in-house production and outsourcing. The two sources differ in yields, costs, and leadtimes. Demands in consecutive periods are independent random variables and stockout is fully backlogged. Our problem is to characterize the optimal dynamic policy that simultaneously determines the in-house production quantity and the outsourcing quantity for each period to minimize the total discounted cost. We show that the optimal policy for in-house production can be characterized by a threshold and the production quantity is decreasing in the starting inventory. The optimal outsourcing policy, however, is more complex, and a threshold-type policy is only optimal under a more restrictive assumption about the yields. Comparative statics about the effects of yield uncertainty, outsourcing on the optimal policy, and cost performance are discussed.

Suggested Citation

  • Zhu, Stuart X., 2015. "Dynamic replenishment from two sources with different yields, costs, and leadtimes," International Journal of Production Economics, Elsevier, vol. 165(C), pages 79-89.
    • Handle: RePEc:eee:proeco:v:165:y:2015:i:c:p:79-89
    DOI: 10.1016/j.ijpe.2015.03.026
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    References listed on IDEAS

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    Cited by:

    1. Serel, Doğan A., 2017. "A single-period stocking and pricing problem involving stochastic emergency supply," International Journal of Production Economics, Elsevier, vol. 185(C), pages 180-195.
    2. Svoboda, Josef & Minner, Stefan & Yao, Man, 2021. "Typology and literature review on multiple supplier inventory control models," European Journal of Operational Research, Elsevier, vol. 293(1), pages 1-23.
    3. Zhu, Stuart X., 2015. "Analysis of dual sourcing strategies under supply disruptions," International Journal of Production Economics, Elsevier, vol. 170(PA), pages 191-203.
    4. Cassidey, Thomas B. & Freeman, Nickolas & Melouk, Sharif, 2022. "Leveraging concurrent sourcing for risk mitigation and pricing," Omega, Elsevier, vol. 113(C).
    5. Freeman, Nickolas & Mittenthal, John & Keskin, Burcu & Melouk, Sharif, 2018. "Sourcing strategies for a capacitated firm subject to supply and demand uncertainty," Omega, Elsevier, vol. 77(C), pages 127-142.
    6. Jain, Tarun & Hazra, Jishnu, 2017. "Dual sourcing under suppliers' capacity investments," International Journal of Production Economics, Elsevier, vol. 183(PA), pages 103-115.

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