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Relief inventory modelling with stochastic lead-time and demand

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  • Das, Rubel
  • Hanaoka, Shinya

Abstract

The irregular demand and communication network disruption that are characteristics of situations demanding humanitarian logistics, particularly after large-scale earthquakes, present a unique challenge for relief inventory modelling. However, there are few quantitative inventory models in humanitarian logistics, and assumptions inherent in commercial logistics naturally have little applicability to humanitarian logistics. This paper develops a humanitarian disaster relief inventory model that assumes a uniformly distributed function in both lead-time and demand parameters, which is appropriate considering the limited historical data on relief operation. Furthermore, this paper presents different combinations of lead-time and demand scenarios to demonstrate the variability of the model. This is followed by the discussion of a case study wherein the decision variables are evaluated and sensitivity analysis is performed. The results reveal the presence of a unique reorder level in the inventory wherever the order quantity is insensitive to some lead-time demand values, providing valuable direction for humanitarian relief planning efforts and future research.

Suggested Citation

  • Das, Rubel & Hanaoka, Shinya, 2014. "Relief inventory modelling with stochastic lead-time and demand," European Journal of Operational Research, Elsevier, vol. 235(3), pages 616-623.
    • Handle: RePEc:eee:ejores:v:235:y:2014:i:3:p:616-623
    DOI: 10.1016/j.ejor.2013.12.042
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    1. Donald M. Simmons, 1972. "Optimal Inventory Policies under a Hierarchy of Setup Costs," Management Science, INFORMS, vol. 18(10), pages 591-599, June.
    2. Robert S. Kaplan, 1970. "A Dynamic Inventory Model with Stochastic Lead Times," Management Science, INFORMS, vol. 16(7), pages 491-507, March.
    3. Lau, Amy Hing-Ling & Lau, Hon-Shiang, 2002. "A comparison of different methods for estimating the average inventory level in a (Q,R) system with backorders," International Journal of Production Economics, Elsevier, vol. 79(3), pages 303-316, October.
    4. 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.
    5. Clay Whybark, D., 2007. "Issues in managing disaster relief inventories," International Journal of Production Economics, Elsevier, vol. 108(1-2), pages 228-235, July.
    6. L N Van Wassenhove, 2006. "Humanitarian aid logistics: supply chain management in high gear," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 57(5), pages 475-489, May.
    7. Altay, Nezih & Green III, Walter G., 2006. "OR/MS research in disaster operations management," European Journal of Operational Research, Elsevier, vol. 175(1), pages 475-493, November.
    8. Sheu, Jiuh-Biing, 2007. "An emergency logistics distribution approach for quick response to urgent relief demand in disasters," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 43(6), pages 687-709, November.
    9. Holguín-Veras, José & Jaller, Miguel & Wachtendorf, Tricia, 2012. "Comparative performance of alternative humanitarian logistic structures after the Port-au-Prince earthquake: ACEs, PIEs, and CANs," Transportation Research Part A: Policy and Practice, Elsevier, vol. 46(10), pages 1623-1640.
    10. Tijms, H. C. & Groenevelt, H., 1984. "Simple approximations for the reorder point in periodic and continuous review (s, S) inventory systems with service level constraints," European Journal of Operational Research, Elsevier, vol. 17(2), pages 175-190, August.
    11. Gary D. Eppen & R. Kipp Martin, 1988. "Determining Safety Stock in the Presence of Stochastic Lead Time and Demand," Management Science, INFORMS, vol. 34(11), pages 1380-1390, November.
    12. Gatignon, Aline & Van Wassenhove, Luk N. & Charles, Aurélie, 2010. "The Yogyakarta earthquake: Humanitarian relief through IFRC's decentralized supply chain," International Journal of Production Economics, Elsevier, vol. 126(1), pages 102-110, July.
    13. Wanke, Peter F., 2008. "The uniform distribution as a first practical approach to new product inventory management," International Journal of Production Economics, Elsevier, vol. 114(2), pages 811-819, August.
    14. Glen, Andrew G. & Leemis, Lawrence M. & Drew, John H., 2004. "Computing the distribution of the product of two continuous random variables," Computational Statistics & Data Analysis, Elsevier, vol. 44(3), pages 451-464, January.
    15. Galindo, Gina & Batta, Rajan, 2013. "Review of recent developments in OR/MS research in disaster operations management," European Journal of Operational Research, Elsevier, vol. 230(2), pages 201-211.
    16. Goyal, Suresh K. & Satir, Ahmet T., 1989. "Joint replenishment inventory control: Deterministic and stochastic models," European Journal of Operational Research, Elsevier, vol. 38(1), pages 2-13, January.
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