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The problem of organ transplantation based on three-sided stable matching

Author

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  • Ruya Fan
  • Yan Chen
  • Bo Shan

Abstract

Aiming at the problem of matching scarce resources among donors, recipients, and medical institutions in organ transplantation, a stable three-sided matching method is proposed. Firstly, in view of the preference structure characteristics of the problems in the context of organ transplantation, a mixed preference structure from the three-sided matching problem is introduced for description, and the stability conditions under this structure are also provided, intuitionistic fuzzy information was utilized to quantify uncertain indicators during organ transplantation. The Erlang distribution was introduced to describe the randomness of the occurrence of organ donors. Coping strategies for possible false reporting behaviors of organ recipients were designed, and a three-sided matching model of donors, recipients, and medical institutions was constructed. And proved the stability of this matching; Secondly, based on the NSGA-III algorithm, the initial search strategy of the Bird Swarm algorithm was introduced, a new mutation method was designed, and its feasibility was theoretically analyzed. Finally, the feasibility of the model and algorithm was verified through simulation examples in the context of organ transplantation, and the performance of the algorithm was analyzed and verified in combination with algorithm complexity, effectiveness, and ablation experiments. The experimental results show that the model and algorithm can effectively improve the stability of the matching results and increase the efficiency of resource allocation.

Suggested Citation

  • Ruya Fan & Yan Chen & Bo Shan, 2026. "The problem of organ transplantation based on three-sided stable matching," PLOS ONE, Public Library of Science, vol. 21(7), pages 1-24, July.
    • Handle: RePEc:plo:pone00:0341764
    DOI: 10.1371/journal.pone.0341764
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    References listed on IDEAS

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    1. Filipe Alvelos & Xenia Klimentova & Ana Viana, 2019. "Maximizing the expected number of transplants in kidney exchange programs with branch-and-price," Annals of Operations Research, Springer, vol. 272(1), pages 429-444, January.
    2. Theodore Papalexopoulos & James Alcorn & Dimitris Bertsimas & Rebecca Goff & Darren Stewart & Nikolaos Trichakis, 2024. "Reshaping National Organ Allocation Policy," Operations Research, INFORMS, vol. 72(4), pages 1475-1486, July.
    3. Mazhar Arıkan & Barış Ata & John J. Friedewald & Rodney P. Parker, 2018. "Enhancing Kidney Supply Through Geographic Sharing in the United States," Production and Operations Management, Production and Operations Management Society, vol. 27(12), pages 2103-2121, December.
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