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The joint transshipment and production control policies for multi-location production/inventory systems

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  • Bhatnagar, Rohit
  • Lin, Bing

Abstract

In this paper, we study the joint transshipment and production control policies for multi-location production/inventory systems in which items are manufactured and stocked at each location to meet incoming demand. We formulate the problem as a make-to-stock queue to gain insight into the following questions: (1) How much demand at a location should be covered by transshipment from other locations, and when to produce or stop production? (2) Is there a simple structure associated with the optimal policy, and whether a simple decision rule can be implemented for transshipment control? (3) Can effective heuristic policies be developed to solve the multi-location problems? For the two-location problem, we characterize the optimal policy as monotone switching-curve policy. To address the multi-location problem, we develop two heuristic policies. One is obtained from the one-step policy improvement based on policy iteration and the other from the one-step lookahead method based on the approximation of the optimal cost function. Numerical examples are used to illustrate the optimal and heuristic policies and compare their performance for various cases.

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  • 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.
    • Handle: RePEc:eee:ejores:v:275:y:2019:i:3:p:957-970
    DOI: 10.1016/j.ejor.2018.12.025
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    1. Steven A. Lippman, 1975. "Applying a New Device in the Optimization of Exponential Queuing Systems," Operations Research, INFORMS, vol. 23(4), pages 687-710, August.
    2. 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.
    3. Uday S. Karmarkar, 1981. "The Multiperiod Multilocation Inventory Problem," Operations Research, INFORMS, vol. 29(2), pages 215-228, April.
    4. T. W. Archibald & S. A. E. Sassen & L. C. Thomas, 1997. "An Optimal Policy for a Two Depot Inventory Problem with Stock Transfer," Management Science, INFORMS, vol. 43(2), pages 173-183, February.
    5. George Tagaras & Morris A. Cohen, 1992. "Pooling in Two-Location Inventory Systems with Non-Negligible Replenishment Lead Times," Management Science, INFORMS, vol. 38(8), pages 1067-1083, August.
    6. Hossein Abouee-Mehrizi & Oded Berman & Shrutivandana Sharma, 2015. "Optimal Joint Replenishment and Transshipment Policies in a Multi-Period Inventory System with Lost Sales," Operations Research, INFORMS, vol. 63(2), pages 342-350, April.
    7. Koushik Ramakrishna & Moosa Sharafali & Yun Lim, 2015. "A two-item two-warehouse periodic review inventory model with transshipment," Annals of Operations Research, Springer, vol. 233(1), pages 365-381, October.
    8. Alvarez, E.M. & van der Heijden, M.C. & Vliegen, I.M.H. & Zijm, W.H.M., 2014. "Service differentiation through selective lateral transshipments," European Journal of Operational Research, Elsevier, vol. 237(3), pages 824-835.
    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. Chandrasekhar Das, 1975. "Supply and Redistribution Rules for Two-Location Inventory Systems: One-Period Analysis," Management Science, INFORMS, vol. 21(7), pages 765-776, March.
    11. 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.
    12. Yale T. Herer & Ayelet Rashit, 1999. "Lateral stock transshipments in a two‐location inventory system with fixed and joint replenishment costs," Naval Research Logistics (NRL), John Wiley & Sons, vol. 46(5), pages 525-547, August.
    13. Xinxin Hu & Izak Duenyas & Roman Kapuscinski, 2008. "Optimal Joint Inventory and Transshipment Control Under Uncertain Capacity," Operations Research, INFORMS, vol. 56(4), pages 881-897, August.
    14. Uday S. Karmarkar & Nitin R. Patel, 1977. "The one‐period, N‐location distribution problem," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 24(4), pages 559-575, December.
    15. 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.
    16. Jian Yang & Zhaoqiong Qin, 2007. "Capacitated Production Control with Virtual Lateral Transshipments," Operations Research, INFORMS, vol. 55(6), pages 1104-1119, December.
    17. Fang Liu & Jing-Sheng Song & Jordan D. Tong, 2016. "Building Supply Chain Resilience through Virtual Stockpile Pooling," Production and Operations Management, Production and Operations Management Society, vol. 25(10), pages 1745-1762, October.
    18. 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.
    19. Albert Y. Ha, 1997. "Optimal Dynamic Scheduling Policy for a Make-To-Stock Production System," Operations Research, INFORMS, vol. 45(1), pages 42-53, February.
    20. Hui Zhao & Jennifer K. Ryan & Vinayak Deshpande, 2008. "Optimal Dynamic Production and Inventory Transshipment Policies for a Two-Location Make-to-Stock System," Operations Research, INFORMS, vol. 56(2), pages 400-410, April.
    21. 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.
    22. 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.
    23. Jovan Grahovac & Amiya Chakravarty, 2001. "Sharing and Lateral Transshipment of Inventory in a Supply Chain with Expensive Low-Demand Items," Management Science, INFORMS, vol. 47(4), pages 579-594, April.
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