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Optimal policies for inventory systems with lateral transshipments

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  • Olsson, Fredrik

Abstract

Using lateral transshipments can be beneficial in order to improve service levels and to reduce system costs. This paper deals with a single-echelon inventory system with two identical locations. Demands are generated by stationary and independent Poisson processes. In general, if a demand occurs at a location and there is no stock on hand, the demand is assumed to be backordered or lost. However, in this paper, lateral transshipments serve as an emergency supply in case of stock out. In this paper, the rule for lateral transshipments is given, while the ordering policies for normal replenishments are optimized. The transshipment rule is to always transship when there is a shortage at one location and stock on hand at the other. First, we assume that the locations apply (R,Q) policies for normal replenishments, and show that the optimal policies are not necessarily symmetric even though the locations are identical. This means that one cannot in general assume that the optimal policy is symmetric under symmetric assumptions. Second, we relax the assumption of (R,Q) policies and derive the optimal replenishment policy using stochastic dynamic programming.

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  • Olsson, Fredrik, 2009. "Optimal policies for inventory systems with lateral transshipments," International Journal of Production Economics, Elsevier, vol. 118(1), pages 175-184, March.
    • Handle: RePEc:eee:proeco:v:118:y:2009:i:1:p:175-184
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    References listed on IDEAS

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    Cited by:

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    4. van Wijk, A.C.C. & Adan, I.J.B.F. & van Houtum, G.J., 2019. "Optimal lateral transshipment policies for a two location inventory problem with multiple demand classes," European Journal of Operational Research, Elsevier, vol. 272(2), pages 481-495.
    5. Paterson, Colin & Kiesmüller, Gudrun & Teunter, Ruud & Glazebrook, Kevin, 2011. "Inventory models with lateral transshipments: A review," European Journal of Operational Research, Elsevier, vol. 210(2), pages 125-136, April.
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    8. Cem Deniz Caglar Bozkir & O. Erhun Kundakcioglu & Andrea C. Henry, 2022. "Hospital service levels during drug shortages: Stocking and transshipment policies for pharmaceutical inventory," Journal of Global Optimization, Springer, vol. 83(3), pages 565-584, July.
    9. Moghaddam, Mohsen & Nof, Shimon Y., 2014. "Combined demand and capacity sharing with best matching decisions in enterprise collaboration," International Journal of Production Economics, Elsevier, vol. 148(C), pages 93-109.
    10. Kang, Jae-Hun & Kim, Yeong-Dae, 2012. "Inventory control in a two-level supply chain with risk pooling effect," International Journal of Production Economics, Elsevier, vol. 135(1), pages 116-124.
    11. Lee, Chungseung & Park, Kun Soo, 2016. "Inventory and transshipment decisions in the rationing game under capacity uncertainty," Omega, Elsevier, vol. 65(C), pages 82-97.
    12. Olsson, Fredrik, 2015. "Emergency lateral transshipments in a two-location inventory system with positive transshipment leadtimes," European Journal of Operational Research, Elsevier, vol. 242(2), pages 424-433.
    13. Tiacci, Lorenzo & Saetta, Stefano, 2011. "A heuristic for balancing the inventory level of different locations through lateral shipments," International Journal of Production Economics, Elsevier, vol. 131(1), pages 87-95, May.
    14. Moghaddam, Mohsen & Nof, Shimon Y., 2016. "Real-time optimization and control mechanisms for collaborative demand and capacity sharing," International Journal of Production Economics, Elsevier, vol. 171(P4), pages 495-506.
    15. Yang, Lei & Yang, Jian & Yu, Gang & Zhang, Hanqin, 2011. "Near-optimal (r,Q) policies for a two-stage serial inventory system with Poisson demand," International Journal of Production Economics, Elsevier, vol. 133(2), pages 728-735, October.
    16. Zümbül Atan & Lawrence V. Snyder & George R. Wilson, 2018. "Transshipment policies for systems with multiple retailers and two demand classes," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 40(1), pages 159-186, January.

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