IDEAS home Printed from https://ideas.repec.org/a/eee/proeco/v151y2014icp48-55.html
   My bibliography  Save this article

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0925527314000127
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.ijpe.2014.01.010?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Rezaei Somarin, Aghil & Chen, Songlin & Asian, Sobhan & Wang, David Z.W., 2017. "A heuristic stock allocation rule for repairable service parts," International Journal of Production Economics, Elsevier, vol. 184(C), pages 131-140.
    2. Yoo, Seung Ho, 2014. "Product quality and return policy in a supply chain under risk aversion of a supplier," International Journal of Production Economics, Elsevier, vol. 154(C), pages 146-155.
    3. Dehghani, Maryam & Abbasi, Babak, 2018. "An age-based lateral-transshipment policy for perishable items," International Journal of Production Economics, Elsevier, vol. 198(C), pages 93-103.
    4. 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.
    5. Hu, Shaolong & Hu, Qingmi & Tao, Sha & Dong, Zhijie Sasha, 2023. "A multi-stage stochastic programming approach for pre-positioning of relief supplies considering returns," Socio-Economic Planning Sciences, Elsevier, vol. 88(C).
    6. 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.
    7. 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.
    8. 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.
    9. 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.
    10. Van der Heide, G. & Roodbergen, K.J. & Van Foreest, N.D., 2021. "Cross docking for libraries with a depot," European Journal of Operational Research, Elsevier, vol. 290(2), pages 749-765.
    11. 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.
    12. 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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. 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.
    3. 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.
    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. 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.
    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. 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.
    8. Somarin, Aghil Rezaei & Sharma, Pankaj & Tiwari, Sunil & Chen, Songlin, 2023. "Stock reallocation policy for repairable service parts in case of supply disruptions due to extreme weather events," International Journal of Production Economics, Elsevier, vol. 256(C).
    9. Van der Heide, G. & Roodbergen, K.J., 2013. "Transshipment and rebalancing policies for library books," European Journal of Operational Research, Elsevier, vol. 228(2), pages 447-456.
    10. Fritzsche, R., 2012. "Cost adjustment for single item pooling models using a dynamic failure rate: A calculation for the aircraft industry," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 48(6), pages 1065-1079.
    11. 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.
    12. Bhatnagar, Rohit & Lin, Bing, 2019. "The joint transshipment and production control policies for multi-location production/inventory systems," European Journal of Operational Research, Elsevier, vol. 275(3), pages 957-970.
    13. Meissner, Joern & Senicheva, Olga V., 2018. "Approximate dynamic programming for lateral transshipment problems in multi-location inventory systems," European Journal of Operational Research, Elsevier, vol. 265(1), pages 49-64.
    14. 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).
    15. 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.
    16. 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.
    17. Tang, Shao-Long & Yan, Hong, 2010. "Pre-distribution vs. post-distribution for cross-docking with transshipments," Omega, Elsevier, vol. 38(3-4), pages 192-202, June.
    18. Seidscher, Arkadi & Minner, Stefan, 2013. "A Semi-Markov decision problem for proactive and reactive transshipments between multiple warehouses," European Journal of Operational Research, Elsevier, vol. 230(1), pages 42-52.
    19. 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.
    20. Olsson, Fredrik, 2010. "An inventory model with unidirectional lateral transshipments," European Journal of Operational Research, Elsevier, vol. 200(3), pages 725-732, February.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:proeco:v:151:y:2014:i:c:p:48-55. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/ijpe .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.