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Optimal influenza vaccine distribution with equity

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  • Enayati, Shakiba
  • Özaltın, Osman Y.

Abstract

This paper is concerned with the optimal influenza vaccine distribution in a heterogeneous population consisting of multiple subgroups. We employ a compartmental model for influenza transmission and formulate a mathematical program to minimize the number of vaccine doses distributed to effectively extinguish an emerging outbreak in its early stages. We propose an equity constraint to help public health authorities consider fairness when making vaccine distribution decisions. We develop an exact solution approach that generates a vaccine distribution policy with a solution quality guarantee. We perform sensitivity analyses on key epidemic parameters in order to illustrate the application of the proposed model. We then analyze the scalability of the solution approach for a population consisting of subgroups based on geographic location and age. We finally demonstrate the proposed model’s ability to consider vaccine coverage inequity and discuss a derivative-free optimization approach, as an alternative solution method which can consider various different objective functions and constraints. Our results indicate that consideration of group-specific transmission dynamics is paramount to the optimal distribution of influenza vaccines.

Suggested Citation

  • Enayati, Shakiba & Özaltın, Osman Y., 2020. "Optimal influenza vaccine distribution with equity," European Journal of Operational Research, Elsevier, vol. 283(2), pages 714-725.
    • Handle: RePEc:eee:ejores:v:283:y:2020:i:2:p:714-725
    DOI: 10.1016/j.ejor.2019.11.025
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    References listed on IDEAS

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    1. João Teles & Pedro Castro & Henrique Matos, 2013. "Multi-parametric disaggregation technique for global optimization of polynomial programming problems," Journal of Global Optimization, Springer, vol. 55(2), pages 227-251, February.
    2. Ozgur Araz & Alison Galvani & Lauren Meyers, 2012. "Geographic prioritization of distributing pandemic influenza vaccines," Health Care Management Science, Springer, vol. 15(3), pages 175-187, September.
    3. Aswin Dhamodharan & Ruben Proano, 2012. "Determining the optimal vaccine vial size in developing countries: a Monte Carlo simulation approach," Health Care Management Science, Springer, vol. 15(3), pages 188-196, September.
    4. Marsh, Michael T. & Schilling, David A., 1994. "Equity measurement in facility location analysis: A review and framework," European Journal of Operational Research, Elsevier, vol. 74(1), pages 1-17, April.
    5. Ruth Misener & Christodoulos Floudas, 2014. "ANTIGONE: Algorithms for coNTinuous / Integer Global Optimization of Nonlinear Equations," Journal of Global Optimization, Springer, vol. 59(2), pages 503-526, July.
    6. Jagpreet Chhatwal & Tianhua He, 2015. "Economic Evaluations with Agent-Based Modelling: An Introduction," PharmacoEconomics, Springer, vol. 33(5), pages 423-433, May.
    7. Duijzer, Lotty Evertje & van Jaarsveld, Willem & Dekker, Rommert, 2018. "Literature review: The vaccine supply chain," European Journal of Operational Research, Elsevier, vol. 268(1), pages 174-192.
    8. Dionne M. Aleman & Theodorus G. Wibisono & Brian Schwartz, 2011. "A Nonhomogeneous Agent-Based Simulation Approach to Modeling the Spread of Disease in a Pandemic Outbreak," Interfaces, INFORMS, vol. 41(3), pages 301-315, June.
    9. Westerink-Duijzer, L.E. & van Jaarsveld, W.L. & Wallinga, J. & Dekker, R., 2016. "The most efficient critical vaccination coverage and its equivalence with maximizing the herd effect," Econometric Institute Research Papers EI2016-06, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    10. Guangping Huang & Ling Li, 2009. "A mathematical model of infectious diseases," Annals of Operations Research, Springer, vol. 168(1), pages 41-80, April.
    11. Ogryczak, Wlodzimierz, 2000. "Inequality measures and equitable approaches to location problems," European Journal of Operational Research, Elsevier, vol. 122(2), pages 374-391, April.
    12. Osman Y. Özaltın & Oleg A. Prokopyev & Andrew J. Schaefer, 2018. "Optimal Design of the Seasonal Influenza Vaccine with Manufacturing Autonomy," INFORMS Journal on Computing, INFORMS, vol. 30(2), pages 371-387, May.
    13. Lotty E. Duijzer & Willem L. van Jaarsveld & Jacco Wallinga & Rommert Dekker, 2018. "Dose†Optimal Vaccine Allocation over Multiple Populations," Production and Operations Management, Production and Operations Management Society, vol. 27(1), pages 143-159, January.
    14. Scott Kolodziej & Pedro Castro & Ignacio Grossmann, 2013. "Global optimization of bilinear programs with a multiparametric disaggregation technique," Journal of Global Optimization, Springer, vol. 57(4), pages 1039-1063, December.
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