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Inventory decisions for humanitarian aid materials considering budget constraints

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  • Acar, Müge
  • Kaya, Onur

Abstract

Humanitarian aid organizations generally need to decide how to allocate their limited budget among different materials for disaster preparedness and disaster response. The budget can either be used before the disaster for stocking decisions under uncertainty or it can be used after the disaster to satisfy the required demand at a higher cost when the uncertainty is resolved. In this study, we aim to decide how many of each type of material to procure before and after the disaster considering the budget limitations. For this purpose, we first develop single product models with and without budget constraints using a newsvendor approach. Then, we build a two-stage stochastic model with budget constraint for the two-product case and determine its optimal solution by first solving the second stage problem to allocate the remaining budget among the products after the disaster. Then, we solve the first stage problem using KKT conditions for the resulting constrained nonlinear optimization problem. Finally, we extend our analysis for multiple product cases and propose approximation algorithms utilizing the optimal solutions derived for the single and two-product cases. We provide managerial insights using our results through detailed numerical experiments, and also present a case study with real life data. It is observed that, contrary to expectations, higher quantities need to be purchased before the disaster when there is a limited budget, as compared to the unlimited budget case. When multiple products are considered, it is important to consider the interactions between the products, especially when the budget is moderate.

Suggested Citation

  • Acar, Müge & Kaya, Onur, 2022. "Inventory decisions for humanitarian aid materials considering budget constraints," European Journal of Operational Research, Elsevier, vol. 300(1), pages 95-111.
    • Handle: RePEc:eee:ejores:v:300:y:2022:i:1:p:95-111
    DOI: 10.1016/j.ejor.2021.07.029
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    1. Khouja, Moutaz, 1999. "The single-period (news-vendor) problem: literature review and suggestions for future research," Omega, Elsevier, vol. 27(5), pages 537-553, October.
    2. Rawls, Carmen G. & Turnquist, Mark A., 2012. "Pre-positioning and dynamic delivery planning for short-term response following a natural disaster," Socio-Economic Planning Sciences, Elsevier, vol. 46(1), pages 46-54.
    3. Serel, Doğan A., 2012. "Multi-item quick response system with budget constraint," International Journal of Production Economics, Elsevier, vol. 137(2), pages 235-249.
    4. E J Lodree Jr & S Taskin, 2008. "An insurance risk management framework for disaster relief and supply chain disruption inventory planning," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 59(5), pages 674-684, May.
    5. Chen, Liang-Hsuan & Chen, Ying-Che, 2010. "A multiple-item budget-constraint newsboy problem with a reservation policy," Omega, Elsevier, vol. 38(6), pages 431-439, December.
    6. Kunz, Nathan & Reiner, Gerald & Gold, Stefan, 2014. "Investing in disaster management capabilities versus pre-positioning inventory: A new approach to disaster preparedness," International Journal of Production Economics, Elsevier, vol. 157(C), pages 261-272.
    7. Xin Yao & Ruting Huang & Malin Song & Nishikant Mishra, 2018. "Pre-positioning inventory and service outsourcing of relief material supply chain," International Journal of Production Research, Taylor & Francis Journals, vol. 56(21), pages 6859-6871, November.
    8. Galindo, Gina & Batta, Rajan, 2013. "Prepositioning of supplies in preparation for a hurricane under potential destruction of prepositioned supplies," Socio-Economic Planning Sciences, Elsevier, vol. 47(1), pages 20-37.
    9. Jingxian Chen & Liang Liang & Dong-qing Yao, 2018. "Pre-positioning of relief inventories: a multi-product newsvendor approach," International Journal of Production Research, Taylor & Francis Journals, vol. 56(18), pages 6294-6313, September.
    10. Gina Galindo Pacheco & Rajan Batta, 2016. "Forecast-driven model for prepositioning supplies in preparation for a foreseen hurricane," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 67(1), pages 98-113, January.
    11. Sushil Gupta & Martin K. Starr & Reza Zanjirani Farahani & Niki Matinrad, 2016. "Disaster Management from a POM Perspective: Mapping a New Domain," Production and Operations Management, Production and Operations Management Society, vol. 25(10), pages 1611-1637, October.
    12. Zhang, Bin & Du, Shaofu, 2010. "Multi-product newsboy problem with limited capacity and outsourcing," European Journal of Operational Research, Elsevier, vol. 202(1), pages 107-113, April.
    13. Coskun, Abdullah & Elmaghraby, Wedad & Karaman, M. Muge & Salman, F. Sibel, 2019. "Relief aid stocking decisions under bilateral agency cooperation," Socio-Economic Planning Sciences, Elsevier, vol. 67(C), pages 147-165.
    14. Qin, Yan & Wang, Ruoxuan & Vakharia, Asoo J. & Chen, Yuwen & Seref, Michelle M.H., 2011. "The newsvendor problem: Review and directions for future research," European Journal of Operational Research, Elsevier, vol. 213(2), pages 361-374, September.
    15. Peter P. Belobaba, 1989. "OR Practice—Application of a Probabilistic Decision Model to Airline Seat Inventory Control," Operations Research, INFORMS, vol. 37(2), pages 183-197, April.
    16. Loree, Nick & Aros-Vera, Felipe, 2018. "Points of distribution location and inventory management model for Post-Disaster Humanitarian Logistics," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 116(C), pages 1-24.
    17. Serhan Duran & Marco A. Gutierrez & Pinar Keskinocak, 2011. "Pre-Positioning of Emergency Items for CARE International," Interfaces, INFORMS, vol. 41(3), pages 223-237, June.
    18. I Moon & E A Silver, 2000. "The multi-item newsvendor problem with a budget constraint and fixed ordering costs," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 51(5), pages 602-608, May.
    19. 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.
    20. Chung, Chia-Shin & Flynn, James & Kirca, Omer, 2008. "A multi-item newsvendor problem with preseason production and capacitated reactive production," European Journal of Operational Research, Elsevier, vol. 188(3), pages 775-792, August.
    21. Gemma Berenguer & Pinar Keskinocak & J. George Shanthikumar & Jayashankar M. Swaminathan & Luk Van Wassenhove & Fuminori Toyasaki & Emel Arikan & Lena Silbermayr & Ioanna Falagara Sigala, 2017. "Disaster Relief Inventory Management: Horizontal Cooperation between Humanitarian Organizations," Production and Operations Management, Production and Operations Management Society, vol. 26(6), pages 1221-1237, June.
    22. Abdel-Malek, Layek & Montanari, Roberto & Morales, Libia Cristina, 2004. "Exact, approximate, and generic iterative models for the multi-product Newsboy problem with budget constraint," International Journal of Production Economics, Elsevier, vol. 91(2), pages 189-198, September.
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