IDEAS home Printed from https://ideas.repec.org/a/eee/ejores/v307y2023i3p1391-1407.html
   My bibliography  Save this article

Novel integer programming models for the stable kidney exchange problem

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0377221722007597
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.ejor.2022.09.031?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. 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. Itai Ashlagi & Alvin E. Roth, 2021. "Kidney Exchange: An Operations Perspective," Management Science, INFORMS, vol. 67(9), pages 5455-5478, September.
    14. 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.
    15. 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.
    16. 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.
    17. 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.
    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. Morrill, Thayer & Roth, Alvin E., 2024. "Top trading cycles," Journal of Mathematical Economics, Elsevier, vol. 112(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. Péter Biró & Flip Klijn & Xenia Klimentova & Ana Viana, 2021. "Shapley-Scarf Housing Markets: Respecting Improvement, Integer Programming, and Kidney Exchange," Working Papers 1235, Barcelona School of Economics.
    2. Morrill, Thayer & Roth, Alvin E., 2024. "Top trading cycles," Journal of Mathematical Economics, Elsevier, vol. 112(C).
    3. Klimentova, Xenia & Viana, Ana & Pedroso, João Pedro & Santos, Nicolau, 2021. "Fairness models for multi-agent kidney exchange programmes," Omega, Elsevier, vol. 102(C).
    4. P'eter Bir'o & M'arton Gyetvai, 2021. "Online voluntary mentoring: Optimising the assignment of students and mentors," Papers 2102.06671, arXiv.org.
    5. Biró, Péter & Gyetvai, Márton, 2023. "Online voluntary mentoring: Optimising the assignment of students and mentors," European Journal of Operational Research, Elsevier, vol. 307(1), pages 392-405.
    6. Ivan Balbuzanov & Maciej H. Kotowski, 2019. "Endowments, Exclusion, and Exchange," Econometrica, Econometric Society, vol. 87(5), pages 1663-1692, September.
    7. Cheng, Yao & Yang, Zaifu, 2021. "Efficient Kidney Exchange with Dichotomous Preferences," Journal of Health Economics, Elsevier, vol. 80(C).
    8. , & , E., 2014. "Free riding and participation in large scale, multi-hospital kidney exchange," Theoretical Economics, Econometric Society, vol. 9(3), September.
    9. Committee, Nobel Prize, 2012. "Alvin E. Roth and Lloyd S. Shapley: Stable allocations and the practice of market design," Nobel Prize in Economics documents 2012-1, Nobel Prize Committee.
    10. Ekici, Özgün, 2020. "Random mechanisms for house allocation with existing tenants," Journal of Mathematical Economics, Elsevier, vol. 89(C), pages 53-65.
    11. Tayfun Sönmez & M Utku Ünver, 2017. "Market design for living-donor organ exchanges: an economic policy perspective," Oxford Review of Economic Policy, Oxford University Press and Oxford Review of Economic Policy Limited, vol. 33(4), pages 676-704.
    12. Tiago Monteiro & Xenia Klimentova & João Pedro Pedroso & Ana Viana, 2021. "A comparison of matching algorithms for kidney exchange programs addressing waiting time," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 29(2), pages 539-552, June.
    13. Carvalho, Margarida & Lodi, Andrea, 2023. "A theoretical and computational equilibria analysis of a multi-player kidney exchange program," European Journal of Operational Research, Elsevier, vol. 305(1), pages 373-385.
    14. Kratz, Jörgen, 2024. "Conflicting objectives in kidney exchange," Journal of Economic Theory, Elsevier, vol. 217(C).
    15. Alvin E. Roth, 2024. "Market Design and Maintenance," NBER Chapters, in: New Directions in Market Design, National Bureau of Economic Research, Inc.
    16. Kristóf Druzsin & Péter Biró & Xenia Klimentova & Rita Fleiner, 2024. "Performance evaluation of national and international kidney exchange programmes with the ENCKEP simulator," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 32(4), pages 923-943, December.
    17. Katarína Cechlárová & Vladimír Lacko, 2012. "The kidney exchange problem: How hard is it to find a donor?," Annals of Operations Research, Springer, vol. 193(1), pages 255-271, March.
    18. Nicoló, Antonio & Rodríguez-Álvarez, Carmelo, 2012. "Transplant quality and patientsʼ preferences in paired kidney exchange," Games and Economic Behavior, Elsevier, vol. 74(1), pages 299-310.
    19. Ekici, Özgün, 2013. "Reclaim-proof allocation of indivisible objects," Games and Economic Behavior, Elsevier, vol. 81(C), pages 1-10.
    20. Zhiwei Cui & Yan-An Hwang, 2017. "House exchange and residential segregation in networks," International Journal of Game Theory, Springer;Game Theory Society, vol. 46(1), pages 125-147, March.

    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:eee:ejores:v:307:y:2023:i:3:p:1391-1407. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/eor .

    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.