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An inventory model with unidirectional lateral transshipments

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  • Olsson, Fredrik

Abstract

This paper deals with a continuous review inventory system with Poisson demand, in which lateral transshipments are allowed. In case of a shortage at a location, another location acts as a supplier, if it is possible. A common assumption in earlier papers is that transshipments are allowed between all locations. This network configuration may, however, not be the best choice for many reasons. One such reason is that it may be difficult to establish contracts between locations regarding the design of the transshipment policy. Another reason is that a system with many transshipment links is much more complex than a system with few transshipment links. In this paper, we study a system where transshipments are allowed only in one direction. This may be a reasonable policy if the locations have very different backorder/lost sales costs. Our approach is relatively simple and fast, and works well in most cases.

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  • Olsson, Fredrik, 2010. "An inventory model with unidirectional lateral transshipments," European Journal of Operational Research, Elsevier, vol. 200(3), pages 725-732, February.
    • Handle: RePEc:eee:ejores:v:200:y:2010:i:3:p:725-732
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    4. 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.
    5. He, Yong & Zhang, Peng & Yao, Yuliang, 2014. "Unidirectional transshipment policies in a dual-channel supply chain," Economic Modelling, Elsevier, vol. 40(C), pages 259-268.
    6. 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.
    7. 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.
    8. Bouma, Harmen W. & Teunter, Ruud H., 2014. "The routed inventory pooling problem with three non-identical retailers," International Journal of Production Economics, Elsevier, vol. 156(C), pages 223-234.
    9. 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.
    10. Smirnov, Dina & Gerchak, Yigal, 2016. "Inventory sharing via circular bidirectional chaining," International Journal of Production Economics, Elsevier, vol. 179(C), pages 141-152.
    11. Liao, Yi & Shen, Wenjing & Hu, Xinxin & Yang, Shilei, 2014. "Optimal responses to stockouts: Lateral transshipment versus emergency order policies," Omega, Elsevier, vol. 49(C), pages 79-92.
    12. Zhang, Jiaqi & Archibald, Thomas W., 2011. "A semi-Markov model with holdout transshipment policy and phase-type exponential lead time," European Journal of Operational Research, Elsevier, vol. 211(3), pages 650-657, June.
    13. Satır, Benhür & Savasaneril, Secil & Serin, Yasemin, 2012. "Pooling through lateral transshipments in service parts systems," European Journal of Operational Research, Elsevier, vol. 220(2), pages 370-377.
    14. Klosterhalfen, S.T. & Kallrath, J. & Fischer, G., 2014. "Rail car fleet design: Optimization of structure and size," International Journal of Production Economics, Elsevier, vol. 157(C), pages 112-119.
    15. Cavagnini, Rossana & Bertazzi, Luca & Maggioni, Francesca, 2022. "A rolling horizon approach for a multi-stage stochastic fixed-charge transportation problem with transshipment," European Journal of Operational Research, Elsevier, vol. 301(3), pages 912-922.
    16. Zhang, Peng & Xu, Xiaofeng & Shi, Victor & Zhu, Jing, 2020. "Simultaneous inventory competition and transshipment between retailers," International Journal of Production Economics, Elsevier, vol. 230(C).
    17. Dong, Yan & Xu, Kefeng & Evers, Philip T., 2012. "Transshipment incentive contracts in a multi-level supply chain," European Journal of Operational Research, Elsevier, vol. 223(2), pages 430-440.
    18. Smirnov, Dina & Gerchak, Yigal, 2014. "Inventory sharing via circular unidirectional chaining," European Journal of Operational Research, Elsevier, vol. 237(2), pages 474-486.
    19. Esmaeili, Somayeh & Bashiri, Mahdi & Amiri, Amirhossein, 2023. "An exact criterion space search algorithm for a bi-objective blood collection problem," European Journal of Operational Research, Elsevier, vol. 311(1), pages 210-232.
    20. Christian Howard & Johan Marklund & Tarkan Tan & Ingrid Reijnen, 2015. "Inventory Control in a Spare Parts Distribution System with Emergency Stocks and Pipeline Information," Manufacturing & Service Operations Management, INFORMS, vol. 17(2), pages 142-156, May.
    21. Yanyan Yang & Shenle Pan & Eric Ballot, 2015. "A model to take advantage of Physical Internet for vendor inventory management [Un modèle de gestion de stock en avantage de l'Internet Physique pour les vendeurs]," Post-Print hal-01128761, HAL.

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