IDEAS home Printed from https://ideas.repec.org/a/spr/snopef/v2y2021i3d10.1007_s43069-021-00072-1.html
   My bibliography  Save this article

A Multiclass, Multiproduct Covid-19 Convalescent Plasma Donor Equilibrium Model

Author

Listed:
  • Anna Nagurney

    (University of Massachusetts)

  • Pritha Dutta

    (Lubin School of Business, Pace University)

Abstract

In this paper, we develop a multiclass, multiproduct equilibrium model for convalescent plasma donations in the Covid-19 pandemic. The potential donors are situated at different locations and the donor population at each location can be separated into different classes based on their motivation and the product for which they provide donations at a collection site. The model captures the competition between nonprofit and for-profit organizations seeking convalescent plasma donations, which is a characteristic of this new market. A variational inequality formulation of the equilibrium conditions and qualitative properties of the model are provided. We also present a capacitated version of the model. Numerical examples of increasing complexity are presented and solved using the modified projection method. The results reveal multiclass, multiproduct donor behavior under different scenarios which can inform policy makers during this pandemic and beyond.

Suggested Citation

  • Anna Nagurney & Pritha Dutta, 2021. "A Multiclass, Multiproduct Covid-19 Convalescent Plasma Donor Equilibrium Model," SN Operations Research Forum, Springer, vol. 2(3), pages 1-30, September.
  • Handle: RePEc:spr:snopef:v:2:y:2021:i:3:d:10.1007_s43069-021-00072-1
    DOI: 10.1007/s43069-021-00072-1
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s43069-021-00072-1
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.

    File URL: https://libkey.io/10.1007/s43069-021-00072-1?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Mohamadreza Fazli-Khalaf & Soheyl Khalilpourazari & Mohammad Mohammadi, 2019. "Mixed robust possibilistic flexible chance constraint optimization model for emergency blood supply chain network design," Annals of Operations Research, Springer, vol. 283(1), pages 1079-1109, December.
    2. Andres F. Osorio & Sally C. Brailsford & Honora K. Smith & Sonia P. Forero-Matiz & Bernardo A. Camacho-Rodríguez, 2017. "Simulation-optimization model for production planning in the blood supply chain," Health Care Management Science, Springer, vol. 20(4), pages 548-564, December.
    3. Ashley C. Craig & Ellen Garbarino & Stephanie A. Heger & Robert Slonim, 2017. "Waiting To Give: Stated and Revealed Preferences," Management Science, INFORMS, vol. 63(11), pages 3672-3690, November.
    4. Stella Dafermos, 1980. "Traffic Equilibrium and Variational Inequalities," Transportation Science, INFORMS, vol. 14(1), pages 42-54, February.
    5. Scott Duke Kominers & Parag A. Pathak & Tayfun Sönmez & M. Utku Ünver, 2020. "Paying It Backward and Forward: Expanding Access to Convalescent Plasma Therapy Through Market Design," Boston College Working Papers in Economics 1007, Boston College Department of Economics.
    6. Judd B. Kessler & Alvin E. Roth, 2012. "Organ Allocation Policy and the Decision to Donate," American Economic Review, American Economic Association, vol. 102(5), pages 2018-2047, August.
    7. Soheyl Khalilpourazari & Alireza Arshadi Khamseh, 2019. "Bi-objective emergency blood supply chain network design in earthquake considering earthquake magnitude: a comprehensive study with real world application," Annals of Operations Research, Springer, vol. 283(1), pages 355-393, December.
    8. Anna Nagurney & Pritha Dutta, 2019. "Supply chain network competition among blood service organizations: a Generalized Nash Equilibrium framework," Annals of Operations Research, Springer, vol. 275(2), pages 551-586, April.
    9. Nagurney, Anna, 1989. "Migration equilibrium and variational inequalities," Economics Letters, Elsevier, vol. 31(1), pages 109-112.
    10. Florian, Michael & Los, Marc, 1982. "A new look at static spatial price equilibrium models," Regional Science and Urban Economics, Elsevier, vol. 12(4), pages 579-597, November.
    11. A. Causa & B. Jadamba & F. Raciti, 2017. "A migration equilibrium model with uncertain data and movement costs," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 40(1), pages 159-175, November.
    12. Andreoni, James, 1990. "Impure Altruism and Donations to Public Goods: A Theory of Warm-Glow Giving?," Economic Journal, Royal Economic Society, vol. 100(401), pages 464-477, June.
    13. Nagurney, Anna, 2021. "Supply chain game theory network modeling under labor constraints: Applications to the Covid-19 pandemic," European Journal of Operational Research, Elsevier, vol. 293(3), pages 880-891.
    14. Hosseini-Motlagh, Seyyed-Mahdi & Samani, Mohammad Reza Ghatreh & Cheraghi, Sara, 2020. "Robust and stable flexible blood supply chain network design under motivational initiatives," Socio-Economic Planning Sciences, Elsevier, vol. 70(C).
    15. Masoumi, Amir H. & Yu, Min & Nagurney, Anna, 2017. "Mergers and acquisitions in blood banking systems: A supply chain network approach," International Journal of Production Economics, Elsevier, vol. 193(C), pages 406-421.
    16. Alok Baveja & Ajai Kapoor & Benjamin Melamed, 2020. "Stopping Covid-19: A pandemic-management service value chain approach," Annals of Operations Research, Springer, vol. 289(2), pages 173-184, June.
    17. Fuminori Toyasaki & Tina Wakolbinger, 2014. "Impacts of earmarked private donations for disaster fundraising," Annals of Operations Research, Springer, vol. 221(1), pages 427-447, October.
    18. Anna Nagurney & Mojtaba Salarpour & June Dong & Ladimer S. Nagurney, 2020. "A Stochastic Disaster Relief Game Theory Network Model," SN Operations Research Forum, Springer, vol. 1(2), pages 1-33, June.
    19. Edward H. Kaplan, 2020. "Containing 2019-nCoV (Wuhan) coronavirus," Health Care Management Science, Springer, vol. 23(3), pages 311-314, September.
    20. Jun Zhuang & Gregory Saxton & Han Wu, 2014. "Publicity vs. impact in nonprofit disclosures and donor preferences: a sequential game with one nonprofit organization and N donors," Annals of Operations Research, Springer, vol. 221(1), pages 469-491, October.
    21. Nagurney, Anna & Pan, Jie & Zhao, Lan, 1992. "Human migration networks," European Journal of Operational Research, Elsevier, vol. 59(2), pages 262-274, June.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Anna Nagurney, 2022. "Supply chain networks, wages, and labor productivity: insights from Lagrange. analysis and computations," Journal of Global Optimization, Springer, vol. 83(3), pages 615-638, July.
    2. Ahmed Mohamed Habib & Umar Nawaz Kayani, 2023. "Evaluating the Super-Efficiency of Working Capital Management Using Data Envelopment Analysis: Does COVID-19 Matter?," SN Operations Research Forum, Springer, vol. 4(2), pages 1-20, June.
    3. Hu, Xiaowei & Li, Peng, 2022. "Relief and stimulus in a cross-sector multi-product scarce resource supply chain network," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 168(C).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Asadpour, Milad & Olsen, Tava Lennon & Boyer, Omid, 2022. "An updated review on blood supply chain quantitative models: A disaster perspective," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 158(C).
    2. Anna Nagurney & Patrizia Daniele & Ladimer S. Nagurney, 2020. "Refugee migration networks and regulations: a multiclass, multipath variational inequality framework," Journal of Global Optimization, Springer, vol. 78(3), pages 627-649, November.
    3. Nagurney, Anna & Dutta, Pritha, 2019. "Competition for blood donations," Omega, Elsevier, vol. 85(C), pages 103-114.
    4. Samani, Mohammad Reza Ghatreh & Hosseini-Motlagh, Seyyed-Mahdi & Homaei, Shamim, 2020. "A reactive phase against disruptions for designing a proactive platelet supply network," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 140(C).
    5. Chua, Geoffrey A. & Senga, Juan Ramon L., 2022. "Blood supply interventions during disasters: Efficiency measures and strategies to mitigate volatility," Socio-Economic Planning Sciences, Elsevier, vol. 84(C).
    6. Abdorrrahman Haeri & Seyyed-Mahdi Hosseini-Motlagh & Mohammad Reza Ghatreh Samani & Marziehsadat Rezaei, 2022. "An integrated socially responsible-efficient approach toward health service network design," Annals of Operations Research, Springer, vol. 319(1), pages 463-516, December.
    7. Ali Ala & Morteza Yazdani & Mohsen Ahmadi & Aida Poorianasab & Mahdi Yousefi Nejad Attari, 2023. "An efficient healthcare chain design for resolving the patient scheduling problem: queuing theory and MILP-ASA optimization approach," Annals of Operations Research, Springer, vol. 328(1), pages 3-33, September.
    8. Nagurney, Anna, 2022. "Attracting international migrant labor: Investment optimization to alleviate supply chain labor shortages," Operations Research Perspectives, Elsevier, vol. 9(C).
    9. Mohsen Momenitabar & Zhila Dehdari Ebrahimi & Mohammad Arani & Jeremy Mattson, 2023. "Robust possibilistic programming to design a closed-loop blood supply chain network considering service-level maximization and lateral resupply," Annals of Operations Research, Springer, vol. 328(1), pages 859-901, September.
    10. Kamyabniya, Afshin & Noormohammadzadeh, Zohre & Sauré, Antoine & Patrick, Jonathan, 2021. "A robust integrated logistics model for age-based multi-group platelets in disaster relief operations," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 152(C).
    11. Elmira Farrokhizadeh & Seyed Amin Seyfi-Shishavan & Sule Itir Satoglu, 2022. "Blood supply planning during natural disasters under uncertainty: a novel bi-objective model and an application for red crescent," Annals of Operations Research, Springer, vol. 319(1), pages 73-113, December.
    12. Esmaeili, Somayeh & Bashiri, Mahdi & Amiri, Amirhossein, 2023. "An exact criterion space search algorithm for a bi-objective blood collection problem," European Journal of Operational Research, Elsevier, vol. 311(1), pages 210-232.
    13. Sohrabi, Mahnaz & Zandieh, Mostafa & Shokouhifar, Mohammad, 2023. "Sustainable inventory management in blood banks considering health equity using a combined metaheuristic-based robust fuzzy stochastic programming," Socio-Economic Planning Sciences, Elsevier, vol. 86(C).
    14. Li, Mengling & Riyanto, Yohanes E. & Xu, Menghan, 2023. "Prioritized organ allocation rules under compatibility constraints," Games and Economic Behavior, Elsevier, vol. 141(C), pages 403-427.
    15. Anna Nagurney & Mojtaba Salarpour & June Dong & Ladimer S. Nagurney, 2020. "A Stochastic Disaster Relief Game Theory Network Model," SN Operations Research Forum, Springer, vol. 1(2), pages 1-33, June.
    16. Xing Wang & Ya-wei Qi & Chang-qi Tao & Yi-bin Xiao, 2017. "A Class of Delay Differential Variational Inequalities," Journal of Optimization Theory and Applications, Springer, vol. 172(1), pages 56-69, January.
    17. Ackfeld, Viola & Ockenfels, Axel, 2021. "Do people intervene to make others behave prosocially?," Games and Economic Behavior, Elsevier, vol. 128(C), pages 58-72.
    18. Kalashnikov, Vyacheslav & Kalashnykova, Nataliya & Rojas, Ramón Luévanos & Muí±os, Mario Méndez & Uranga, César & Rojas, Arnulfo Luévanos, 2008. "Numerical experimentation with a human migration model," European Journal of Operational Research, Elsevier, vol. 189(1), pages 208-229, August.
    19. Shipra Singh & Aviv Gibali & Simeon Reich, 2024. "Multidimensional Evolution Effects on Non-Cooperative Strategic Games," Mathematics, MDPI, vol. 12(16), pages 1-30, August.
    20. Anna Nagurney & Pritha Dutta, 2019. "Supply chain network competition among blood service organizations: a Generalized Nash Equilibrium framework," Annals of Operations Research, Springer, vol. 275(2), pages 551-586, April.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:snopef:v:2:y:2021:i:3:d:10.1007_s43069-021-00072-1. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.