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Stochastic optimization for transshipment problems with positive replenishment lead times

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  • (Yale) Gong, Yeming
  • Yücesan, Enver

Abstract

Transshipments, monitored movements of material at the same echelon of a supply chain, represent an effective pooling mechanism. Earlier papers dealing with transshipments either do not incorporate replenishment lead times into their analysis, or only provide a heuristic algorithm where optimality cannot be guaranteed beyond settings with two locations. This paper uses infinitesimal perturbation analysis by combining with a stochastic approximation method to examine the multi-location transshipment problem with positive replenishment lead times. It demonstrates the computation of optimal base stock quantities through sample path optimization. From a methodological perspective, this paper deploys a duality-based gradient computation method to improve computational efficiency. From an application perspective, it solves transshipment problems with non-negligible replenishment lead times. A numerical study illustrates the performance of the proposed approach.

Suggested Citation

  • (Yale) Gong, Yeming & Yücesan, Enver, 2012. "Stochastic optimization for transshipment problems with positive replenishment lead times," International Journal of Production Economics, Elsevier, vol. 135(1), pages 61-72.
  • Handle: RePEc:eee:proeco:v:135:y:2012:i:1:p:61-72
    DOI: 10.1016/j.ijpe.2010.09.020
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    References listed on IDEAS

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    1. Reut Noham & Michal Tzur, 2014. "The single and multi‐item transshipment problem with fixed transshipment costs," Naval Research Logistics (NRL), John Wiley & Sons, vol. 61(8), pages 637-664, December.
    2. Shao, Xiao-Feng, 2018. "Production disruption, compensation, and transshipment policies," Omega, Elsevier, vol. 74(C), pages 37-49.
    3. Heydari, Jafar & Mahmoodi, Mansour & Taleizadeh, Ata Allah, 2016. "Lead time aggregation: A three-echelon supply chain model," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 89(C), pages 215-233.
    4. Özdemir, Deniz & Yücesan, Enver & Herer, Yale T., 2013. "Multi-location transshipment problem with capacitated production," European Journal of Operational Research, Elsevier, vol. 226(3), pages 425-435.
    5. Deflem, Yannick & Van Nieuwenhuyse, Inneke, 2013. "Managing inventories with one-way substitution: A newsvendor analysis," European Journal of Operational Research, Elsevier, vol. 228(3), pages 484-493.

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