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Inventory policies for humanitarian aid during hurricanes

Author

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  • Consuelos Salas, Laura
  • Robles Cárdenas, Manuel
  • Zhang, Muhong

Abstract

In this work we present a stochastic programming model minimizing costs, to support the decision process of inventory policy which best satisfies the demand for food in shelters when hurricane winds are about to impact a town. In this model we consider perishable products as well as the first in first out (FIFO) system for their consumption. In order to make the model closer to reality ordering cost is time-varying and we add a penalty cost in case the shortage exceeds a known limit for two days in a row. Finally the cost to dispose of expired food is greater than the purchase cost of the product since throwing away food has ethical implications. Starting from a stochastic programming model, we present a procedure to transform it to a deterministic mixed integer programming model (MIP) with non-convex objective function over its entire domain, which closely states the situation in reality. Preliminary computational results and discussion are presented.

Suggested Citation

  • Consuelos Salas, Laura & Robles Cárdenas, Manuel & Zhang, Muhong, 2012. "Inventory policies for humanitarian aid during hurricanes," Socio-Economic Planning Sciences, Elsevier, vol. 46(4), pages 272-280.
    • Handle: RePEc:eee:soceps:v:46:y:2012:i:4:p:272-280
    DOI: 10.1016/j.seps.2012.02.002
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    References listed on IDEAS

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    1. Clay Whybark, D., 2007. "Issues in managing disaster relief inventories," International Journal of Production Economics, Elsevier, vol. 108(1-2), pages 228-235, July.
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    7. Zhang, Dali & Xu, Huifu & Wu, Yue, 2009. "Single and multi-period optimal inventory control models with risk-averse constraints," European Journal of Operational Research, Elsevier, vol. 199(2), pages 420-434, December.
    8. Bhattacharjee, Sudip & Ramesh, R., 2000. "A multi-period profit maximizing model for retail supply chain management: An integration of demand and supply-side mechanisms," European Journal of Operational Research, Elsevier, vol. 122(3), pages 584-601, May.
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    Cited by:

    1. Yusen Ye & Wen Jiao & Hong Yan, 2020. "Managing Relief Inventories Responding to Natural Disasters: Gaps Between Practice and Literature," Production and Operations Management, Production and Operations Management Society, vol. 29(4), pages 807-832, April.
    2. Renata Turkeš & Daniel Palhazi Cuervo & Kenneth Sörensen, 2019. "Pre-positioning of emergency supplies: does putting a price on human life help to save lives?," Annals of Operations Research, Springer, vol. 283(1), pages 865-895, December.
    3. Prima Denny Sentia & Syaimak Abdul Shukor & Amelia Natasya Abdul Wahab & Muriati Mukhtar, 2023. "Logistic distribution in humanitarian supply chain management: a thematic literature review and future research," Annals of Operations Research, Springer, vol. 323(1), pages 175-201, April.
    4. Wang, Qingyi & Liu, Zhuomeng & Jiang, Peng & Luo, Li, 2022. "A stochastic programming model for emergency supplies pre-positioning, transshipment and procurement in a regional healthcare coalition," Socio-Economic Planning Sciences, Elsevier, vol. 82(PB).

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