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Optimal Vaccination Strategies for Multiple Dose Vaccinations

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Combinatorial Optimization (ISCO 2022)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 13526))

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Abstract

Due to the COVID-19 pandemic and the shortage of vaccinations during its roll-out, the question regarding the best strategy to achieve immunity in the population by adjusting the time between the two necessary vaccination doses was intensively discussed. This strategy has already been studied from various angles by various researches. However, the combinatorial optimization problem and its complexity has not been the focus of attention.

In this paper, we study the complexity of different versions of this problem by first proposing a simple approach using a matching algorithm. Then, we extend the approach by adding constraints and multiple manufacturers. Finally, we discuss a variation of the problem where three vaccinations are necessary, including the so-called “booster”. This problem turns out to be NP-hard.

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References

  1. Anstee, R.P.: A polynomial algorithm for b-matchings: an alternative approach. Inf. Process. Lett. 24(3), 153–157 (1987)

    Article  MathSciNet  MATH  Google Scholar 

  2. Duijzer, L.E., Van Jaarsveld, W., Dekker, R.: Literature review: the vaccine supply chain. Eur. J. Oper. Res. 268(1), 174–192 (2018)

    Article  MathSciNet  MATH  Google Scholar 

  3. Jurgens, G., Lackner, K.: Modelled optimization of SARS-Cov-2 vaccine distribution: an evaluation of second dose deferral spacing of 6, 12, and 24 weeks. medRxiv (2021). https://doi.org/10.1101/2021.02.28.21252638

  4. Karp, R.M.: Reducibility among combinatorial problems. In: Miller, R.E., Thatcher, J.W., Bohlinger, J.D. (eds.) Complexity of Computer Computations. IRSS, pp. 85–103. Springer, Boston (1972). https://doi.org/10.1007/978-1-4684-2001-2_9

    Chapter  Google Scholar 

  5. Moghadas, S.M., et al.: Evaluation of COVID-19 vaccination strategies with a delayed second dose. PLoS Biol. 19(4), e3001211 (2021)

    Article  Google Scholar 

  6. Parino, F., Zino, L., Calafiore, G.C., Rizzo, A.: A model predictive control approach to optimally devise a two-dose vaccination rollout: a case study on COVID-19 in Italy. Int. J. Robust Nonlinear Control (2021). https://doi.org/10.1002/rnc.5728

    Article  Google Scholar 

  7. Polack, F.P., et al.: Safety and efficacy of the BNT162b2 mRNA Covid-19 vaccine. New Engl. J. Med. 383(27), 2603–2615 (2020). https://doi.org/10.1056/NEJMoa2034577. pMID: 33301246

  8. Pulleyblank, W.R.: Faces of matching polyhedra (1973)

    Google Scholar 

  9. Schrijver, A.: Combinatorial Optimization: Polyhedra and Efficiency, vol. 24. Springer, Heidelberg (2003)

    MATH  Google Scholar 

  10. Silva, P.J., Sagastizábal, C., Nonato, L.G., Struchiner, C.J., Pereira, T.: Optimized delay of the second COVID-19 vaccine dose reduces ICU admissions. Proc. Natl. Acad. Sci. 118(35), e2104640118 (2021)

    Google Scholar 

  11. Wouters, O.J., et al.: Challenges in ensuring global access to COVID-19 vaccines: production, affordability, allocation, and deployment. The Lancet 397(10278), 1023–1034 (2021). https://doi.org/10.1016/S0140-6736(21)00306-8

    Article  Google Scholar 

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Correspondence to Jenny Segschneider .

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Segschneider, J., Koster, A.M.C.A. (2022). Optimal Vaccination Strategies for Multiple Dose Vaccinations. In: Ljubić, I., Barahona, F., Dey, S.S., Mahjoub, A.R. (eds) Combinatorial Optimization. ISCO 2022. Lecture Notes in Computer Science, vol 13526. Springer, Cham. https://doi.org/10.1007/978-3-031-18530-4_20

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  • DOI: https://doi.org/10.1007/978-3-031-18530-4_20

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-18529-8

  • Online ISBN: 978-3-031-18530-4

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