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Optimal inventory policy for a Markovian two-echelon system with returns and lateral transshipment

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  • Tai, Allen H.
  • Ching, Wai-Ki

Abstract

In this paper, we consider a Markovian model for a two-echelon inventory/return system. The system consists of a supply plant with infinite capacity and a central warehouse for inventory and returns. There are also a number of local warehouses which are also capable of re-manufacturing of returns to products. To obtain a high service level of handling inventory and returns, lateral transshipment of demands is allowed among the local warehouses. The objective is to minimize the total expected operating cost by choosing the maximum inventory level at the local warehouses. We present some theoretical results for the proposed model. Numerical examples are also given to demonstrate the performance of the system.

Suggested Citation

  • Tai, Allen H. & Ching, Wai-Ki, 2014. "Optimal inventory policy for a Markovian two-echelon system with returns and lateral transshipment," International Journal of Production Economics, Elsevier, vol. 151(C), pages 48-55.
    • Handle: RePEc:eee:proeco:v:151:y:2014:i:c:p:48-55
    DOI: 10.1016/j.ijpe.2014.01.010
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    1. W-K Ching & W-O Yuen & A W Loh, 2003. "An inventory model with returns and lateral transshipments," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 54(6), pages 636-641, June.
    2. Tiacci, Lorenzo & Saetta, Stefano, 2011. "Reducing the mean supply delay of spare parts using lateral transshipments policies," International Journal of Production Economics, Elsevier, vol. 133(1), pages 182-191, September.
    3. Summerfield, Nichalin S. & Dror, Moshe, 2012. "Stochastic programming for decentralized newsvendor with transshipment," International Journal of Production Economics, Elsevier, vol. 137(2), pages 292-303.
    4. Paterson, Colin & Teunter, Ruud & Glazebrook, Kevin, 2012. "Enhanced lateral transshipments in a multi-location inventory system," European Journal of Operational Research, Elsevier, vol. 221(2), pages 317-327.
    5. Patrik Alfredsson & Jos Verrijdt, 1999. "Modeling Emergency Supply Flexibility in a Two-Echelon Inventory System," Management Science, INFORMS, vol. 45(10), pages 1416-1431, October.
    6. Anil Kukreja & Charles P. Schmidt & David M. Miller, 2001. "Stocking Decisions for Low-Usage Items in a Multilocation Inventory System," Management Science, INFORMS, vol. 47(10), pages 1371-1383, October.
    7. Allen H. Tai & Wai-Ki Ching, 2006. "A Two-echelon Model for Inventory and Returns," Operations Research Proceedings, in: Hans-Dietrich Haasis & Herbert Kopfer & Jörn Schönberger (ed.), Operations Research Proceedings 2005, pages 131-136, Springer.
    8. Min, Hokey & Jeung Ko, Hyun & Seong Ko, Chang, 2006. "A genetic algorithm approach to developing the multi-echelon reverse logistics network for product returns," Omega, Elsevier, vol. 34(1), pages 56-69, January.
    9. 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.
    10. Olsson, Fredrik, 2009. "Optimal policies for inventory systems with lateral transshipments," International Journal of Production Economics, Elsevier, vol. 118(1), pages 175-184, March.
    11. Ching, Wai Ki, 1997. "Markov-modulated Poisson processes for multi-location inventory problems," International Journal of Production Economics, Elsevier, vol. 53(2), pages 217-223, November.
    12. Mitra, Subrata, 2009. "Analysis of a two-echelon inventory system with returns," Omega, Elsevier, vol. 37(1), pages 106-115, February.
    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. Minner, Stefan & Silver, Edward A., 2005. "Evaluation of two simple extreme transshipment strategies," International Journal of Production Economics, Elsevier, vol. 93(1), pages 1-11, January.
    15. Vercraene, Samuel & Gayon, Jean-Philippe & Flapper, Simme Douwe, 2014. "Coordination of manufacturing, remanufacturing and returns acceptance in hybrid manufacturing/remanufacturing systems," International Journal of Production Economics, Elsevier, vol. 148(C), pages 62-70.
    16. Hochmuth, Christian A. & Köchel, Peter, 2012. "How to order and transship in multi-location inventory systems: The simulation optimization approach," International Journal of Production Economics, Elsevier, vol. 140(2), pages 646-654.
    17. Hau L. Lee, 1987. "A Multi-Echelon Inventory Model for Repairable Items with Emergency Lateral Transshipments," Management Science, INFORMS, vol. 33(10), pages 1302-1316, October.
    18. Ahiska, S. Sebnem & Appaji, Samyuktha R. & King, Russell E. & Warsing, Donald P., 2013. "A Markov decision process-based policy characterization approach for a stochastic inventory control problem with unreliable sourcing," International Journal of Production Economics, Elsevier, vol. 144(2), pages 485-496.
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    5. 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.
    6. Bimal Kumar Mawandiya & J. K. Jha & Jitesh J. Thakkar, 2020. "Optimal production-inventory policy for closed-loop supply chain with remanufacturing under random demand and return," Operational Research, Springer, vol. 20(3), pages 1623-1664, September.
    7. Zhang, Yi & Hua, Guowei & Cheng, T.C.E. & Zhang, Juliang & Fernandez, Vicenc, 2020. "Risk pooling through physical probabilistic selling," International Journal of Production Economics, Elsevier, vol. 219(C), pages 295-311.
    8. Çömez-Dolgan, Nagihan & Tanyeri, Başak, 2015. "Inventory performance with pooling: Evidence from mergers and acquisitions," International Journal of Production Economics, Elsevier, vol. 168(C), pages 331-339.
    9. 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.
    10. García-Benito, Juan Carlos & Martín-Peña, María-Luz, 2021. "A redistribution model with minimum backorders of spare parts: A proposal for the defence sector," European Journal of Operational Research, Elsevier, vol. 291(1), pages 178-193.
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    12. 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.

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