PMID- 35062776
OWN - NLM
STAT- PubMed-not-MEDLINE
LR  - 20240405
IS  - 2076-393X (Print)
IS  - 2076-393X (Electronic)
IS  - 2076-393X (Linking)
VI  - 10
IP  - 1
DP  - 2022 Jan 13
TI  - Vaccination Schedule under Conditions of Limited Vaccine Production Rate.
LID - 10.3390/vaccines10010116 [doi]
LID - 116
AB  - The paper is devoted to optimal vaccination scheduling during a pandemic to 
      minimize the probability of infection. The recent COVID-19 pandemic showed that 
      the international community is not properly prepared to manage a crisis of this 
      scale. Just after the vaccines had been approved by medical agencies, the 
      policymakers needed to decide on the distribution strategy. To successfully fight 
      the pandemic, the key is to find the equilibrium between the vaccine distribution 
      schedule and the available supplies caused by limited production capacity. This 
      is why society needs to be divided into stratified groups whose access to 
      vaccines is prioritized. Herein, we present the problem of distributing 
      protective actions (i.e., vaccines) and formulate two mixed-integer programs to 
      solve it. The problem of distributing protective actions (PDPA) aims at finding 
      an optimal schedule for a given set of social groups with a constant probability 
      of infection. The problem of distributing protective actions with a herd immunity 
      threshold (PDPAHIT) also includes a variable probability of infection, i.e., the 
      situation when herd immunity is obtained. The results of computational 
      experiments are reported and the potential of the models is illustrated with 
      examples.
FAU - Ksiazek, Roger
AU  - Ksiazek R
AUID- ORCID: 0000-0002-9156-6995
AD  - Faculty of Management, AGH University of Science and Technology, 30-059 Cracow, 
      Poland.
FAU - Kaplan, Radoslaw
AU  - Kaplan R
AUID- ORCID: 0000-0003-1596-9749
AD  - Faculty of Management, AGH University of Science and Technology, 30-059 Cracow, 
      Poland.
FAU - Gdowska, Katarzyna
AU  - Gdowska K
AUID- ORCID: 0000-0002-7964-3724
AD  - Faculty of Management, AGH University of Science and Technology, 30-059 Cracow, 
      Poland.
FAU - Lebkowski, Piotr
AU  - Lebkowski P
AUID- ORCID: 0000-0002-5203-4099
AD  - Faculty of Management, AGH University of Science and Technology, 30-059 Cracow, 
      Poland.
LA  - eng
GR  - Dzialanie 4 w Projekcie "Inicjatywa Doskonalosci - Uczelnia Badawcza" w AGH/AGH 
      University of Science and Technology/
PT  - Journal Article
DEP - 20220113
PL  - Switzerland
TA  - Vaccines (Basel)
JT  - Vaccines
JID - 101629355
PMC - PMC8781133
OTO - NOTNLM
OT  - COVID-19 vaccination
OT  - decision-making
OT  - herd immune
OT  - mathematical model
OT  - optimization
OT  - scheduling
OT  - vaccination schedule
COIS- The authors declare no conflict of interest.
EDAT- 2022/01/23 06:00
MHDA- 2022/01/23 06:01
PMCR- 2022/01/13
CRDT- 2022/01/22 01:03
PHST- 2021/12/12 00:00 [received]
PHST- 2022/01/11 00:00 [revised]
PHST- 2022/01/11 00:00 [accepted]
PHST- 2022/01/22 01:03 [entrez]
PHST- 2022/01/23 06:00 [pubmed]
PHST- 2022/01/23 06:01 [medline]
PHST- 2022/01/13 00:00 [pmc-release]
AID - vaccines10010116 [pii]
AID - vaccines-10-00116 [pii]
AID - 10.3390/vaccines10010116 [doi]
PST - epublish
SO  - Vaccines (Basel). 2022 Jan 13;10(1):116. doi: 10.3390/vaccines10010116.