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Novel integer programming models for the stable kidney exchange problem

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  • Klimentova, Xenia
  • Biró, Péter
  • Viana, Ana
  • Costa, Virginia
  • Pedroso, João Pedro

Abstract

Kidney exchange programs (KEPs) represent an additional possibility of transplant for patients suffering from end-stage kidney disease. If a patient has a willing living donor with whom the patient is not compatible, the pair recipient–donor can join a pool of incompatible pairs and, if compatibility between recipient and donor in two or more pairs exists, organs can be exchanged between them. The problem can be modelled as an integer program that in general aims at finding the pairs that should be selected for transplant such that maximum number of transplants is performed.

Suggested Citation

  • Klimentova, Xenia & Biró, Péter & Viana, Ana & Costa, Virginia & Pedroso, João Pedro, 2023. "Novel integer programming models for the stable kidney exchange problem," European Journal of Operational Research, Elsevier, vol. 307(3), pages 1391-1407.
    • Handle: RePEc:eee:ejores:v:307:y:2023:i:3:p:1391-1407
    DOI: 10.1016/j.ejor.2022.09.031
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    References listed on IDEAS

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    1. Tayfun Sönmez & Alvin E. Roth & M. Utku Ünver, 2007. "Efficient Kidney Exchange: Coincidence of Wants in Markets with Compatibility-Based Preferences," American Economic Review, American Economic Association, vol. 97(3), pages 828-851, June.
    2. Roth, Alvin E. & Sonmez, Tayfun & Utku Unver, M., 2005. "Pairwise kidney exchange," Journal of Economic Theory, Elsevier, vol. 125(2), pages 151-188, December.
    3. Ross Anderson & Itai Ashlagi & David Gamarnik & Michael Rees & Alvin E. Roth & Tayfun Sönmez & M. Utku Ünver, 2015. "Kidney Exchange and the Alliance for Paired Donation: Operations Research Changes the Way Kidneys Are Transplanted," Interfaces, INFORMS, vol. 45(1), pages 26-42, February.
    4. Augustine Kwanashie & David F. Manlove, 2014. "An Integer Programming Approach to the Hospitals/Residents Problem with Ties," Operations Research Proceedings, in: Dennis Huisman & Ilse Louwerse & Albert P.M. Wagelmans (ed.), Operations Research Proceedings 2013, edition 127, pages 263-269, Springer.
    5. Nikhil Agarwal & Itai Ashlagi & Eduardo Azevedo & Clayton R. Featherstone & Ömer Karaduman, 2019. "Market Failure in Kidney Exchange," American Economic Review, American Economic Association, vol. 109(11), pages 4026-4070, November.
    6. Nicolò, Antonio & Rodríguez-Álvarez, Carmelo, 2017. "Age-based preferences in paired kidney exchange," Games and Economic Behavior, Elsevier, vol. 102(C), pages 508-524.
    7. Xing Wang & Niels Agatz & Alan Erera, 2018. "Stable Matching for Dynamic Ride-Sharing Systems," Transportation Science, INFORMS, vol. 52(4), pages 850-867, August.
    8. Nicolau Santos & Paolo Tubertini & Ana Viana & João Pedro Pedroso, 2017. "Kidney exchange simulation and optimization," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 68(12), pages 1521-1532, December.
    9. Shapley, Lloyd & Scarf, Herbert, 1974. "On cores and indivisibility," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 23-37, March.
    10. Klimentova, Xenia & Viana, Ana & Pedroso, João Pedro & Santos, Nicolau, 2021. "Fairness models for multi-agent kidney exchange programmes," Omega, Elsevier, vol. 102(C).
    11. Constantino, Miguel & Klimentova, Xenia & Viana, Ana & Rais, Abdur, 2013. "New insights on integer-programming models for the kidney exchange problem," European Journal of Operational Research, Elsevier, vol. 231(1), pages 57-68.
    12. Kolos Csaba Ágoston & Péter Biró & Iain McBride, 2016. "Integer programming methods for special college admissions problems," Journal of Combinatorial Optimization, Springer, vol. 32(4), pages 1371-1399, November.
    13. Kolos Csaba Agoston & Peter Biro & Iain McBride, 2016. "Integer programming methods for special college admissions problems," CERS-IE WORKING PAPERS 1632, Institute of Economics, Centre for Economic and Regional Studies.
    14. Itai Ashlagi & Alvin E. Roth, 2021. "Kidney Exchange: An Operations Perspective," Management Science, INFORMS, vol. 67(9), pages 5455-5478, September.
    15. Roth, Alvin E. & Postlewaite, Andrew, 1977. "Weak versus strong domination in a market with indivisible goods," Journal of Mathematical Economics, Elsevier, vol. 4(2), pages 131-137, August.
    16. Delorme, Maxence & García, Sergio & Gondzio, Jacek & Kalcsics, Jörg & Manlove, David & Pettersson, William, 2019. "Mathematical models for stable matching problems with ties and incomplete lists," European Journal of Operational Research, Elsevier, vol. 277(2), pages 426-441.
    17. Vicky Mak-Hau, 2017. "On the kidney exchange problem: cardinality constrained cycle and chain problems on directed graphs: a survey of integer programming approaches," Journal of Combinatorial Optimization, Springer, vol. 33(1), pages 35-59, January.
    18. Anderson, Ross & Ashlagi, Itai & Gamarnik, David & Roth, Alvin E., 2015. "Finding long chains in kidney exchange using the traveling salesman problem," Scholarly Articles 30830063, Harvard University Department of Economics.
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