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A hybrid inventory management system responding to regular demand and surge demand

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  • Roni, Mohammad S.
  • Jin, Mingzhou
  • Eksioglu, Sandra D.

Abstract

This paper proposes a hybrid policy for a stochastic inventory system facing regular demand and surge demand. The combination of two different demand patterns can be observed in many areas, such as healthcare inventory and humanitarian supply chain management. The surge demand has a lower arrival rate but higher demand volume per arrival. The solution approach proposed in this paper incorporates the level crossing method and mixed integer programming technique to optimize the hybrid inventory policy with both regular orders and emergency orders. The level crossing method is applied to obtain the equilibrium distributions of inventory levels under a given policy. The model is further transformed into a mixed integer program to identify an optimal hybrid policy. A sensitivity analysis is conducted to investigate the impact of parameters on the optimal inventory policy and minimum cost. Numerical results clearly show the benefit of using the proposed hybrid inventory model. The model and solution approach could help healthcare providers or humanitarian logistics providers in managing their emergency supplies in responding to surge demands.

Suggested Citation

  • Roni, Mohammad S. & Jin, Mingzhou & Eksioglu, Sandra D., 2015. "A hybrid inventory management system responding to regular demand and surge demand," Omega, Elsevier, vol. 52(C), pages 190-200.
  • Handle: RePEc:eee:jomega:v:52:y:2015:i:c:p:190-200
    DOI: 10.1016/j.omega.2014.05.002
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    as
    1. Hasan Arslan & Stephen C. Graves & Thomas A. Roemer, 2007. "A Single-Product Inventory Model for Multiple Demand Classes," Management Science, INFORMS, vol. 53(9), pages 1486-1500, September.
    2. Vinayak Deshpande & Morris A. Cohen & Karen Donohue, 2003. "A Threshold Inventory Rationing Policy for Service-Differentiated Demand Classes," Management Science, INFORMS, vol. 49(6), pages 683-703, June.
    3. Campbell, Ann Melissa & Jones, Philip C., 2011. "Prepositioning supplies in preparation for disasters," European Journal of Operational Research, Elsevier, vol. 209(2), pages 156-165, March.
    4. Izzet Sahin, 1979. "On the Stationary Analysis of Continuous Review ( s , S ) Inventory Systems with Constant Lead Times," Operations Research, INFORMS, vol. 27(4), pages 717-729, August.
    5. Pourakbar, Morteza & Dekker, Rommert, 2012. "Customer differentiated end-of-life inventory problem," European Journal of Operational Research, Elsevier, vol. 222(1), pages 44-53.
    6. Joachim Arts & Marcel van Vuuren & Gudrun Kiesmüller, 2011. "Efficient optimization of the dual-index policy using Markov chains," IISE Transactions, Taylor & Francis Journals, vol. 43(8), pages 604-620.
    7. Axsater, Sven, 2007. "A heuristic for triggering emergency orders in an inventory system," European Journal of Operational Research, Elsevier, vol. 176(2), pages 880-891, January.
    8. Katia C. Frank & Rachel Q. Zhang & Izak Duenyas, 2003. "Optimal Policies for Inventory Systems with Priority Demand Classes," Operations Research, INFORMS, vol. 51(6), pages 993-1002, December.
    9. Awi Federgruen & Zvi Schechner, 1983. "Technical Note—Cost Formulas for Continuous Review Inventory Models with Fixed Delivery Lags," Operations Research, INFORMS, vol. 31(5), pages 957-965, October.
    10. Ruiz-Torres, Alex J. & Mahmoodi, Farzad, 2007. "The optimal number of suppliers considering the costs of individual supplier failures," Omega, Elsevier, vol. 35(1), pages 104-115, February.
    11. Berger, Paul D. & Gerstenfeld, Arthur & Zeng, Amy Z., 2004. "How many suppliers are best? A decision-analysis approach," Omega, Elsevier, vol. 32(1), pages 9-15, February.
    12. Percy H. Brill & Ben A. Chaouch, 1995. "An EOQ Model with Random Variations in Demand," Management Science, INFORMS, vol. 41(5), pages 927-936, May.
    13. Sawik, Tadeusz, 2013. "Selection of resilient supply portfolio under disruption risks," Omega, Elsevier, vol. 41(2), pages 259-269.
    14. Rawls, Carmen G. & Turnquist, Mark A., 2010. "Pre-positioning of emergency supplies for disaster response," Transportation Research Part B: Methodological, Elsevier, vol. 44(4), pages 521-534, May.
    15. Kamran Moinzadeh & Steven Nahmias, 1988. "A Continuous Review Model for an Inventory System with Two Supply Modes," Management Science, INFORMS, vol. 34(6), pages 761-773, June.
    16. Blyth C. Archibald & Edward A. Silver, 1978. "(s, S) Policies Under Continuous Review and Discrete Compound Poisson Demand," Management Science, INFORMS, vol. 24(9), pages 899-909, May.
    17. Mohebbi, Esmail & Posner, Morton J. M., 1999. "A lost-sales continuous-review inventory system with emergency ordering," International Journal of Production Economics, Elsevier, vol. 58(1), pages 93-112, January.
    18. Cheaitou, Ali & van Delft, Christian, 2013. "Finite horizon stochastic inventory problem with dual sourcing: Near myopic and heuristics bounds," International Journal of Production Economics, Elsevier, vol. 143(2), pages 371-378.
    19. Percy H. Brill, 2008. "Level Crossing Methods in Stochastic Models," International Series in Operations Research and Management Science, Springer, number 978-0-387-09421-2, September.
    20. FadIloglu, Mehmet Murat & Bulut, Önder, 2010. "A dynamic rationing policy for continuous-review inventory systems," European Journal of Operational Research, Elsevier, vol. 202(3), pages 675-685, May.
    21. Pando, Valentín & San-José, Luis A. & García-Laguna, Juan & Sicilia, Joaquín, 2013. "A newsboy problem with an emergency order under a general backorder rate function," Omega, Elsevier, vol. 41(6), pages 1020-1028.
    22. Yu, Haisheng & Zeng, Amy Z. & Zhao, Lindu, 2009. "Single or dual sourcing: decision-making in the presence of supply chain disruption risks," Omega, Elsevier, vol. 37(4), pages 788-800, August.
    23. Mohebbi, Esmail, 2006. "A production-inventory model with randomly changing environmental conditions," European Journal of Operational Research, Elsevier, vol. 174(1), pages 539-552, October.
    24. Chang, Mei-Shiang & Tseng, Ya-Ling & Chen, Jing-Wen, 2007. "A scenario planning approach for the flood emergency logistics preparation problem under uncertainty," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 43(6), pages 737-754, November.
    25. Matthew J. Sobel & Rachel Q. Zhang, 2001. "Inventory Policies for Systems with Stochastic and Deterministic Demand," Operations Research, INFORMS, vol. 49(1), pages 157-162, February.
    26. Johansen, Soren Glud & Thorstenson, Anders, 1998. "An inventory model with Poisson demands and emergency orders," International Journal of Production Economics, Elsevier, vol. 56(1), pages 275-289, September.
    27. Huang, Shuo & Axsäter, Sven & Dou, Yifan & Chen, Jian, 2011. "A real-time decision rule for an inventory system with committed service time and emergency orders," European Journal of Operational Research, Elsevier, vol. 215(1), pages 70-79, November.
    28. Anshul Sheopuri & Ganesh Janakiraman & Sridhar Seshadri, 2010. "New Policies for the Stochastic Inventory Control Problem with Two Supply Sources," Operations Research, INFORMS, vol. 58(3), pages 734-745, June.
    29. Ali Cheaitou & Christian van Delft, 2013. "Finite horizon stochastic inventory problem with dual sourcing: Near myopic and heuristics bounds," Post-Print hal-00989433, HAL.
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    Cited by:

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