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Heterogeneous joint vaccine allocation and quarantine restriction planning under uncertainty: The COVID-19 pandemic

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  • Mohammadi, Mehrdad
  • Asgari, Erfan
  • Mamaghan, Maryam Karimi
  • Pirayesh, Amir
  • van Woensel, Tom

Abstract

Once effective vaccines are discovered for a pandemic and initial distribution infrastructure, and mechanisms are implemented, the next concern is an optimal vaccination campaign to stop the disease or minimize the casualties. This paper studies the optimization of a Vaccine Distribution Network (VDN) through a single-objective Mixed-Integer Non-Linear Programming (MINLP) model for minimizing the total cost in terms of governmental aid (to maintain the economy), logistics, vaccination, and hospitalization costs. The proposed model develops the optimal joint vaccination-quarantine strategy under equity considerations to (1) determine the optimal allocation of available vaccine stockpiles to different population classes in different regions and (2) seek to impose quarantine restrictions to different regions optimally. The proposed model was applied to a real case study, the vaccine distribution network in France. Through a comprehensive numerical analysis, the optimal vaccine allocation is calculated, and the impact of equity and quarantine on the performance of the distribution network is investigated. Moreover, fractional dosing on the number of infections is examined. The results show that equity considerations, counter-intuitively, lead to an increased number of infections. Furthermore, it is illustrated that fractional dosing helps policymakers to control the pandemic better under a limited supply of vaccines.

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  • Mohammadi, Mehrdad & Asgari, Erfan & Mamaghan, Maryam Karimi & Pirayesh, Amir & van Woensel, Tom, 2024. "Heterogeneous joint vaccine allocation and quarantine restriction planning under uncertainty: The COVID-19 pandemic," Omega, Elsevier, vol. 128(C).
    • Handle: RePEc:eee:jomega:v:128:y:2024:i:c:s0305048324000999
    DOI: 10.1016/j.omega.2024.103133
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    as
    1. Ma, Xin & Zhao, Xue & Guo, Pengfei, 2022. "Cope with the COVID-19 pandemic: Dynamic bed allocation and patient subsidization in a public healthcare system," International Journal of Production Economics, Elsevier, vol. 243(C).
    2. Gutjahr, Walter J. & Fischer, Sophie, 2018. "Equity and deprivation costs in humanitarian logistics," European Journal of Operational Research, Elsevier, vol. 270(1), pages 185-197.
    3. Scarpin, Marcia Regina Santiago & Scarpin, Jorge Eduardo & Krespi Musial, Nayane Thais & Nakamura, Wilson Toshiro, 2022. "The implications of COVID-19: Bullwhip and ripple effects in global supply chains," International Journal of Production Economics, Elsevier, vol. 251(C).
    4. Laura Matrajt & Julia Eaton & Tiffany Leung & Dobromir Dimitrov & Joshua T. Schiffer & David A. Swan & Holly Janes, 2021. "Optimizing vaccine allocation for COVID-19 vaccines shows the potential role of single-dose vaccination," Nature Communications, Nature, vol. 12(1), pages 1-18, December.
    5. Alam, Shahriar Tanvir & Ahmed, Sayem & Ali, Syed Mithun & Sarker, Sudipa & Kabir, Golam & ul-Islam, Asif, 2021. "Challenges to COVID-19 vaccine supply chain: Implications for sustainable development goals," International Journal of Production Economics, Elsevier, vol. 239(C).
    6. Jahani, Hamed & Chaleshtori, Amir Eshaghi & Khaksar, Seyed Mohammad Sadegh & Aghaie, Abdollah & Sheu, Jiuh-Biing, 2022. "COVID-19 vaccine distribution planning using a congested queuing system—A real case from Australia," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 163(C).
    7. Nafiseh Shamsi Gamchi & S. Ali Torabi & Fariborz Jolai, 2021. "A novel vehicle routing problem for vaccine distribution using SIR epidemic model," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 43(1), pages 155-188, March.
    8. N. Shamsi Gamchi & M. Esmaeili, 2023. "A novel mathematical model for prioritization of individuals to receive vaccine considering governmental health protocols," The European Journal of Health Economics, Springer;Deutsche Gesellschaft für Gesundheitsökonomie (DGGÖ), vol. 24(4), pages 633-646, June.
    9. Ardekani, Zahra Fozouni & Sobhani, Seyed Mohammad Javad & Barbosa, Marcelo Werneck & de Sousa, Paulo Renato, 2023. "Transition to a sustainable food supply chain during disruptions: A study on the Brazilian food companies in the Covid-19 era," International Journal of Production Economics, Elsevier, vol. 257(C).
    10. Ivanov, Dmitry, 2020. "Predicting the impacts of epidemic outbreaks on global supply chains: A simulation-based analysis on the coronavirus outbreak (COVID-19/SARS-CoV-2) case," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 136(C).
    11. Enayati, Shakiba & Özaltın, Osman Y., 2020. "Optimal influenza vaccine distribution with equity," European Journal of Operational Research, Elsevier, vol. 283(2), pages 714-725.
    12. Yarmand, Hamed & Ivy, Julie S. & Denton, Brian & Lloyd, Alun L., 2014. "Optimal two-phase vaccine allocation to geographically different regions under uncertainty," European Journal of Operational Research, Elsevier, vol. 233(1), pages 208-219.
    13. Ivanov, Dmitry, 2024. "Supply chain resilience: Conceptual and formal models drawing from immune system analogy," Omega, Elsevier, vol. 127(C).
    14. Dastgoshade, Sohaib & Shafiee, Mohammad & Klibi, Walid & Shishebori, Davood, 2022. "Social equity-based distribution networks design for the COVID-19 vaccine," International Journal of Production Economics, Elsevier, vol. 250(C).
    15. Tang, Lianhua & Li, Yantong & Bai, Danyu & Liu, Tao & Coelho, Leandro C., 2022. "Bi-objective optimization for a multi-period COVID-19 vaccination planning problem," Omega, Elsevier, vol. 110(C).
    16. Narayanamurthy, Gopalakrishnan & Tortorella, Guilherme, 2021. "Impact of COVID-19 outbreak on employee performance – Moderating role of industry 4.0 base technologies," International Journal of Production Economics, Elsevier, vol. 234(C).
    17. Lotty E. Westerink‐Duijzer & Loe P. J. Schlicher & Marieke Musegaas, 2020. "Core Allocations for Cooperation Problems in Vaccination," Production and Operations Management, Production and Operations Management Society, vol. 29(7), pages 1720-1737, July.
    18. Erdoğan, Güneş & Yücel, Eda & Kiavash, Parinaz & Salman, F. Sibel, 2024. "Fair and effective vaccine allocation during a pandemic," Socio-Economic Planning Sciences, Elsevier, vol. 93(C).
    19. Rinaldi, Marta & Bottani, Eleonora, 2023. "How did COVID-19 affect logistics and supply chain processes? Immediate, short and medium-term evidence from some industrial fields of Italy," International Journal of Production Economics, Elsevier, vol. 262(C).
    20. Saif, Ahmed & Elhedhli, Samir, 2016. "Cold supply chain design with environmental considerations: A simulation-optimization approach," European Journal of Operational Research, Elsevier, vol. 251(1), pages 274-287.
    21. Karakaya, Sırma & Balcik, Burcu, 2024. "Developing a national pandemic vaccination calendar under supply uncertainty," Omega, Elsevier, vol. 124(C).
    22. Rey, David & Hammad, Ahmed W. & Saberi, Meead, 2023. "Vaccine allocation policy optimization and budget sharing mechanism using reinforcement learning," Omega, Elsevier, vol. 115(C).
    23. Li, Xin & Pan, Yanchun & Jiang, Shiqiang & Huang, Qiang & Chen, Zhimin & Zhang, Mingxia & Zhang, Zuoyao, 2021. "Locate vaccination stations considering travel distance, operational cost, and work schedule," Omega, Elsevier, vol. 101(C).
    24. Ming Liu & Xifen Xu & Jie Cao & Ding Zhang, 2020. "Integrated planning for public health emergencies: A modified model for controlling H1N1 pandemic," Journal of the Operational Research Society, Taylor & Francis Journals, vol. 71(5), pages 748-761, May.
    25. Thul, Lawrence & Powell, Warren, 2023. "Stochastic optimization for vaccine and testing kit allocation for the COVID-19 pandemic," European Journal of Operational Research, Elsevier, vol. 304(1), pages 325-338.
    26. Gilani, Hani & Sahebi, Hadi, 2022. "A data-driven robust optimization model by cutting hyperplanes on vaccine access uncertainty in COVID-19 vaccine supply chain," Omega, Elsevier, vol. 110(C).
    27. Sheng-I Chen & Bryan A. Norman & Jayant Rajgopal & Tina M. Assi & Bruce Y. Lee & Shawn T. Brown, 2014. "A planning model for the WHO-EPI vaccine distribution network in developing countries," IISE Transactions, Taylor & Francis Journals, vol. 46(8), pages 853-865, August.
    28. Burcu Balcik & Ecem Yucesoy & Berna Akca & Sirma Karakaya & Asena A. Gevsek & Hossein Baharmand & Fabio Sgarbossa, 2022. "A mathematical model for equitable in-country COVID-19 vaccine allocation," International Journal of Production Research, Taylor & Francis Journals, vol. 60(24), pages 7502-7526, December.
    29. 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.
    30. Vahdani, Behnam & Mohammadi, Mehrdad & Thevenin, Simon & Gendreau, Michel & Dolgui, Alexandre & Meyer, Patrick, 2023. "Fair-split distribution of multi-dose vaccines with prioritized age groups and dynamic demand: The case study of COVID-19," European Journal of Operational Research, Elsevier, vol. 310(3), pages 1249-1272.
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