Robust two-dose vaccination schemes and the directed b-matching problem
In light of the recent pandemic and the shortage of vaccinations during their roll-out, questions arose regarding the best strategy to achieve immunity throughout the population by adjusting the time gap between the two necessary vaccination doses. This strategy has already been studied from differe...
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| Vydáno v: | Discrete Applied Mathematics Ročník 356; s. 369 - 392 |
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Elsevier B.V
30.10.2024
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| ISSN: | 0166-218X, 1872-6771 |
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| Abstract | In light of the recent pandemic and the shortage of vaccinations during their roll-out, questions arose regarding the best strategy to achieve immunity throughout the population by adjusting the time gap between the two necessary vaccination doses. This strategy has already been studied from different angles by various researches. However, the deliveries of vaccination doses also proved to be highly uncertain, with manufacturers not being able to deliver the promised amount of vaccines on time.
In this paper, we study the robust version of this problem and its generalization to matchings on arbitrary graphs. By exploring the problem, we show that it is weakly NP-hard for a constant number of scenarios and strongly NP-hard else. Further, we propose a pseudo-polynomial algorithm for the weakly NP-hard subproblem with a constant number of scenarios and time between both doses. Finally, we perform computational experiments to better understand the behavior of the problem. |
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| AbstractList | In light of the recent pandemic and the shortage of vaccinations during their roll-out, questions arose regarding the best strategy to achieve immunity throughout the population by adjusting the time gap between the two necessary vaccination doses. This strategy has already been studied from different angles by various researches. However, the deliveries of vaccination doses also proved to be highly uncertain, with manufacturers not being able to deliver the promised amount of vaccines on time.
In this paper, we study the robust version of this problem and its generalization to matchings on arbitrary graphs. By exploring the problem, we show that it is weakly NP-hard for a constant number of scenarios and strongly NP-hard else. Further, we propose a pseudo-polynomial algorithm for the weakly NP-hard subproblem with a constant number of scenarios and time between both doses. Finally, we perform computational experiments to better understand the behavior of the problem. |
| Author | Segschneider, Jenny Koster, Arie M.C.A. |
| Author_xml | – sequence: 1 givenname: Jenny surname: Segschneider fullname: Segschneider, Jenny email: segschneider@math2.rwth-aachen.de – sequence: 2 givenname: Arie M.C.A. surname: Koster fullname: Koster, Arie M.C.A. email: koster@math2.rwth-aachen.de |
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| Cites_doi | 10.1016/S0927-0507(05)80120-3 10.1016/j.ejor.2022.05.009 10.1371/journal.pbio.3001211 10.1002/net.21497 10.1111/poms.13862 10.7326/M20-8137 10.1007/s10107-003-0454-y 10.1073/pnas.2104640118 10.1016/j.ejor.2018.01.015 10.1109/ACCESS.2022.3168985 10.1137/0134037 10.1056/NEJMoa2034577 10.1016/S0140-6736(21)00306-8 10.1016/0020-0190(87)90178-5 |
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| Keywords | Robust optimization Directed matching Graph and network algorithms Computational complexity Optimal vaccination scheduling |
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| SubjectTerms | Computational complexity Directed matching Graph and network algorithms Optimal vaccination scheduling Robust optimization |
| Title | Robust two-dose vaccination schemes and the directed b-matching problem |
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