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The Multi-Location Transshipment Problem with Positive Replenishment Lead Times

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  • Gong, Y.
  • Yucesan, E.

Abstract

Transshipments, monitored movements of material at the same echelon of a supply chain, represent an effective pooling mechanism. With a single exception, research on transshipments overlooks replenishment lead times. The only approach for two-location inventory systems with non-negligible lead times could not be generalized to a multi-location setting, and the proposed heuristic method cannot guarantee to provide optimal solutions. This paper uses simulation optimization by combining an LP/network flow formulation with infinitesimal perturbation analysis to examine the multi-location transshipment problem with positive replenishment lead times, and demonstrates the computation of the optimal base stock quantities through sample path optimization. From a methodological perspective, this paper deploys an elegant duality-based gradient computation method to improve computational efficiency. In test problems, our algorithm was also able to achieve better objective values than an existing algorithm.

Suggested Citation

  • Gong, Y. & Yucesan, E., 2006. "The Multi-Location Transshipment Problem with Positive Replenishment Lead Times," ERIM Report Series Research in Management ERS-2006-048-LIS, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
    • Handle: RePEc:ems:eureri:7947
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    File URL: https://repub.eur.nl/pub/7947/ERS-2006-048-LIS.pdf
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    References listed on IDEAS

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    1. Lawrence W. Robinson, 1990. "Optimal and Approximate Policies in Multiperiod, Multilocation Inventory Models with Transshipments," Operations Research, INFORMS, vol. 38(2), pages 278-295, April.
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    3. Nils Rudi & Sandeep Kapur & David F. Pyke, 2001. "A Two-Location Inventory Model with Transshipment and Local Decision Making," Management Science, INFORMS, vol. 47(12), pages 1668-1680, December.
    4. Paul Glasserman & Sridhar Tayur, 1995. "Sensitivity Analysis for Base-Stock Levels in Multiechelon Production-Inventory Systems," Management Science, INFORMS, vol. 41(2), pages 263-281, February.
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    Cited by:

    1. Wang, Ke-Ming & Ma, Zu-Jun, 2015. "Age-based policy for blood transshipment during blood shortage," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 80(C), pages 166-183.
    2. Berman, Oded & Krass, Dmitry & Menezes, Mozart B.C., 2016. "Directed assignment vs. customer choice in location inventory models," International Journal of Production Economics, Elsevier, vol. 179(C), pages 179-191.
    3. Torabi, S.A. & Hassini, E. & Jeihoonian, M., 2015. "Fulfillment source allocation, inventory transshipment, and customer order transfer in e-tailing," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 79(C), pages 128-144.
    4. Smirnov, Dina & Gerchak, Yigal, 2014. "Inventory sharing via circular unidirectional chaining," European Journal of Operational Research, Elsevier, vol. 237(2), pages 474-486.

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    More about this item

    Keywords

    Infinitesimal Perturbation Analysis (IPA); Simulation Optimization; Transshipment;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • M - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics
    • M11 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Business Administration - - - Production Management
    • R4 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - Transportation Economics
    • R41 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - Transportation Economics - - - Transportation: Demand, Supply, and Congestion; Travel Time; Safety and Accidents; Transportation Noise

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