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Supply chain network competition among blood service organizations: a Generalized Nash Equilibrium framework

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  • Anna Nagurney

    (University of Massachusetts)

  • Pritha Dutta

    (University of Massachusetts)

Abstract

In this paper we present a Generalized Nash Equilibrium model of supply chain network competition among blood service organizations which compete not only for blood donors but also for business from hospitals and medical centers. The model incorporates not only link capacities and associated arc multipliers to capture perishability, but also bounds on the number of donors in regions as well as lower and upper bounds on the demands at the demand points in order to ensure needed amounts for surgeries, treatments, etc., while reducing wastage. The concept of a variational equilibrium is utilized to transform the problem into a variational inequality problem, and alternative formulations are given. A Lagrange analysis yields economic insights. The proposed algorithmic procedure is then applied to a series of numerical examples in order to illustrate the impacts of disruptions in the form of a reduction on the number of donors as well as that of decreases in capacities of critical links such as testing and processing on RBC prices, demands, net revenues of the blood service organizations, and their overall utilities.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:annopr:v:275:y:2019:i:2:d:10.1007_s10479-018-3029-2
    DOI: 10.1007/s10479-018-3029-2
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    References listed on IDEAS

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    1. Kopach, Renata & Balcioglu, Baris & Carter, Michael, 2008. "Tutorial on constructing a red blood cell inventory management system with two demand rates," European Journal of Operational Research, Elsevier, vol. 185(3), pages 1051-1059, March.
    2. Fahimnia, Behnam & Jabbarzadeh, Armin & Ghavamifar, Ali & Bell, Michael, 2017. "Supply chain design for efficient and effective blood supply in disasters," International Journal of Production Economics, Elsevier, vol. 183(PC), pages 700-709.
    3. Steven Nahmias, 1982. "Perishable Inventory Theory: A Review," Operations Research, INFORMS, vol. 30(4), pages 680-708, August.
    4. Anna Nagurney & Min Yu & Deniz Besik, 2017. "Supply chain network capacity competition with outsourcing: a variational equilibrium framework," Journal of Global Optimization, Springer, vol. 69(1), pages 231-254, September.
    5. K Katsaliaki & S C Brailsford, 2007. "Using simulation to improve the blood supply chain," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 58(2), pages 219-227, February.
    6. Anna Nagurney & Amir Masoumi & Min Yu, 2012. "Supply chain network operations management of a blood banking system with cost and risk minimization," Computational Management Science, Springer, vol. 9(2), pages 205-231, May.
    7. Carl Mellström & Magnus Johannesson, 2008. "Crowding Out in Blood Donation: Was Titmuss Right?," Journal of the European Economic Association, MIT Press, vol. 6(4), pages 845-863, June.
    8. Andres F. Osorio & Sally C. Brailsford & Honora K. Smith, 2015. "A structured review of quantitative models in the blood supply chain: a taxonomic framework for decision-making," International Journal of Production Research, Taylor & Francis Journals, vol. 53(24), pages 7191-7212, December.
    9. Wang, Ke-Ming & Ma, Zu-Jun, 2015. "Age-based policy for blood transshipment during blood shortage," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 80(C), pages 166-183.
    10. Dan Chazan & Shmuel Gal, 1977. "A Markovian Model for a Perishable Product Inventory," Management Science, INFORMS, vol. 23(5), pages 512-521, January.
    11. Goh, Mark & Lim, Joseph Y.S. & Meng, Fanwen, 2007. "A stochastic model for risk management in global supply chain networks," European Journal of Operational Research, Elsevier, vol. 182(1), pages 164-173, October.
    12. Ramezanian, Reza & Behboodi, Zahra, 2017. "Blood supply chain network design under uncertainties in supply and demand considering social aspects," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 104(C), pages 69-82.
    13. Patrizia Daniele & Sofia Giuffrè, 2015. "Random Variational Inequalities and the Random Traffic Equilibrium Problem," Journal of Optimization Theory and Applications, Springer, vol. 167(1), pages 363-381, October.
    14. Anna Nagurney, 2006. "Supply Chain Network Economics," Books, Edward Elgar Publishing, number 4242.
    15. Nagurney, Anna & Flores, Emilio Alvarez & Soylu, Ceren, 2016. "A Generalized Nash Equilibrium network model for post-disaster humanitarian relief," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 95(C), pages 1-18.
    16. Dursun Delen & Madhav Erraguntla & Richard Mayer & Chang-Nien Wu, 2011. "Better management of blood supply-chain with GIS-based analytics," Annals of Operations Research, Springer, vol. 185(1), pages 181-193, May.
    17. Anna Nagurney, 2018. "A Multitiered Supply Chain Network Equilibrium Model for Disaster Relief with Capacitated Freight Service Provision," Springer Optimization and Its Applications, in: Ilias S. Kotsireas & Anna Nagurney & Panos M. Pardalos (ed.), Dynamics of Disasters, pages 85-108, Springer.
    18. 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.
    19. Toyasaki, Fuminori & Daniele, Patrizia & Wakolbinger, Tina, 2014. "A variational inequality formulation of equilibrium models for end-of-life products with nonlinear constraints," European Journal of Operational Research, Elsevier, vol. 236(1), pages 340-350.
    20. Srinagesh Gavirneni, 2002. "Information Flows in Capacitated Supply Chains with Fixed Ordering Costs," Management Science, INFORMS, vol. 48(5), pages 644-651, May.
    21. 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.
    22. Caruso, Valeria & Daniele, Patrizia, 2018. "A network model for minimizing the total organ transplant costs," European Journal of Operational Research, Elsevier, vol. 266(2), pages 652-662.
    23. Duan, Qinglin & Liao, T. Warren, 2014. "Optimization of blood supply chain with shortened shelf lives and ABO compatibility," International Journal of Production Economics, Elsevier, vol. 153(C), pages 113-129.
    24. Jeremy Thornton, 2008. "Competition, Contractibility, and the Market for Donors to Nonprofits," The Journal of Law, Economics, and Organization, Oxford University Press, vol. 24(1), pages 215-246, May.
    25. Beliën, Jeroen & Forcé, Hein, 2012. "Supply chain management of blood products: A literature review," European Journal of Operational Research, Elsevier, vol. 217(1), pages 1-16.
    26. Ki-Seok Choi & J. G. Dai & Jing-Sheng Song, 2004. "On Measuring Supplier Performance Under Vendor-Managed-Inventory Programs in Capacitated Supply Chains," Manufacturing & Service Operations Management, INFORMS, vol. 6(1), pages 53-72, April.
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    Cited by:

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    2. Caiquan Duan & Guoyi Xiu & Fengmin Yao, 2019. "Multi-Period E-Closed-Loop Supply Chain Network Considering Consumers’ Preference for Products and AI-Push," Sustainability, MDPI, vol. 11(17), pages 1-32, August.
    3. Yunhan Huang & Quanyan Zhu, 2022. "Game-Theoretic Frameworks for Epidemic Spreading and Human Decision-Making: A Review," Dynamic Games and Applications, Springer, vol. 12(1), pages 7-48, March.
    4. 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).
    5. Shipra Singh & Aviv Gibali & Simeon Reich, 2024. "Multidimensional Evolution Effects on Non-Cooperative Strategic Games," Mathematics, MDPI, vol. 12(16), pages 1-30, August.
    6. 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.
    7. 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).
    8. Wang, Qingwei & Zheng, Meimei & Lee, Ka-Man & Shi, Xiaoqian & Shen, Yichi & Pan, Ershun, 2024. "Optimal product and after-sales service decisions considering risk attitudes under price-dependent uncertain demand," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 182(C).

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