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Emergency lateral transshipments in a two-location inventory system with positive transshipment leadtimes

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  • Olsson, Fredrik

Abstract

We consider a single-echelon continuous review inventory system for spare parts with two parallel locations. Each location faces independent Poisson demand and backorders are allowed. In this paper we consider the possibility of lateral transshipments between the locations. The transshipment leadtime is positive and deterministic, and there is an additional cost for making a transshipment. We suggest a transshipment policy which is based on the timing of all outstanding orders, and develop and solve a heuristic model by using theory and concepts from doubly stochastic Poisson processes and also partial differential equations. A simulation study indicates that our heuristic works very well, and that the relative cost increase of disregarding the transshipment leadtime may be quite high. Our results also indicate that it is, in general, worth the effort of reducing the transshipment leadtime, even if it is already relatively short.

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  • 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.
    • Handle: RePEc:eee:ejores:v:242:y:2015:i:2:p:424-433
    DOI: 10.1016/j.ejor.2014.10.015
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    6. Dhahri, Akrem & Gharbi, Ali & Ouhimmou, Mustapha, 2022. "Integrated production-transshipment control policy for a two-location unreliable manufacturing system," International Journal of Production Economics, Elsevier, vol. 247(C).
    7. Yongchang Wei & Fangyu Chen & Feng Xiong, 2018. "Dynamic Complexities in a Supply Chain System with Lateral Transshipments," Complexity, Hindawi, vol. 2018, pages 1-15, June.
    8. Fredrik Olsson, 2019. "Simple modeling techniques for base-stock inventory systems with state dependent demand rates," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 90(1), pages 61-76, August.
    9. Dijkstra, Arjan S. & Van der Heide, Gerlach & Roodbergen, Kees Jan, 2019. "Transshipments of cross-channel returned products," International Journal of Production Economics, Elsevier, vol. 209(C), pages 70-77.
    10. Elleuch Fadoi & Semi Boudabbous, 2021. "Application of Transshipment in the Supply Chain Management in Tunisia," International Journal of Finance, Insurance and Risk Management, International Journal of Finance, Insurance and Risk Management, vol. 11(4), pages 81-103.
    11. Johansson, Lina & Olsson, Fredrik, 2018. "Age-based inventory control in a multi-echelon system with emergency replenishments," European Journal of Operational Research, Elsevier, vol. 265(3), pages 951-961.
    12. Fadoi Elleuch, 2023. "The "Lateral Transshipment" Is a Cooperative Tool for Optimizing the Profitability of a Distribution System," International Journal of Finance, Insurance and Risk Management, International Journal of Finance, Insurance and Risk Management, vol. 13(1), pages 128-151.
    13. Schuster Puga, Matías & Tancrez, Jean-Sébastien, 2017. "A heuristic algorithm for solving large location–inventory problems with demand uncertainty," European Journal of Operational Research, Elsevier, vol. 259(2), pages 413-423.
    14. Shao, Xiao-Feng, 2018. "Production disruption, compensation, and transshipment policies," Omega, Elsevier, vol. 74(C), pages 37-49.
    15. Naderi, Siamak & Kilic, Kemal & Dasci, Abdullah, 2020. "A deterministic model for the transshipment problem of a fast fashion retailer under capacity constraints," International Journal of Production Economics, Elsevier, vol. 227(C).
    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.
    17. Lina Johansson & Fredrik Olsson, 2017. "Quantifying sustainable control of inventory systems with non-linear backorder costs," Annals of Operations Research, Springer, vol. 259(1), pages 217-239, December.
    18. Masoud Rabbani & Ali Sabbaghnia & Mahdi Mobini & Jafar Razmi, 2020. "A graph theory-based algorithm for a multi-echelon multi-period responsive supply chain network design with lateral-transshipments," Operational Research, Springer, vol. 20(4), pages 2497-2517, December.

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