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New insights on integer-programming models for the kidney exchange problem

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  • Constantino, Miguel
  • Klimentova, Xenia
  • Viana, Ana
  • Rais, Abdur

Abstract

In recent years several countries have set up policies that allow exchange of kidneys between two or more incompatible patient–donor pairs. These policies lead to what is commonly known as kidney exchange programs.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:ejores:v:231:y:2013:i:1:p:57-68
    DOI: 10.1016/j.ejor.2013.05.025
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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. Alvin E. Roth & Tayfun Sönmez & M. Utku Ünver, 2004. "Kidney Exchange," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 119(2), pages 457-488.
    4. Stefanos A. Zenios & Glenn M. Chertow & Lawrence M. Wein, 2000. "Dynamic Allocation of Kidneys to Candidates on the Transplant Waiting List," Operations Research, INFORMS, vol. 48(4), pages 549-569, August.
    5. Saidman, Susan L. & Roth, Alvin E. & Sonmez, Tayfun & Unver, M. Utku & Delmonico, Francis L., 2014. "Increasing the Opportunity of Live Kidney Donation by Matching for Two and Three Way Exchanges," MPRA Paper 58247, University Library of Munich, Germany.
    6. Alvin E. Roth & Tayfun Sönmez, 2005. "A Kidney Exchange Clearinghouse in New England," American Economic Review, American Economic Association, vol. 95(2), pages 376-380, May.
    7. Rees, Michael Kenneth & Kopke, Jonathan E. & Pelletier, Ronald P. & Segev, Dorry L. & Rutter, Matthew E. & Fabrega, Alfredo J. & Rogers, Jeffrey David & Pankewycz, Oleh G. & Hiller, Janet & Roth, Alvi, 2009. "A Nonsimultaneous, Extended, Altruistic-Donor Chain," Scholarly Articles 29408291, Harvard University Department of Economics.
    8. M. Utku Ünver, 2010. "Dynamic Kidney Exchange," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 77(1), pages 372-414.
    9. Stefanos A. Zenios, 2002. "Optimal Control of a Paired-Kidney Exchange Program," Management Science, INFORMS, vol. 48(3), pages 328-342, March.
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    Cited by:

    1. 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.
    2. Tom Demeulemeester & Dries Goossens & Ben Hermans & Roel Leus, 2023. "Fair integer programming under dichotomous and cardinal preferences," Papers 2306.13383, arXiv.org, revised Apr 2024.
    3. Hyunwoo Lee & Seokhyun Chung & Taesu Cheong & Sang Hwa Song, 2018. "Accounting for Fairness in a Two-Stage Stochastic Programming Model for Kidney Exchange Programs," IJERPH, MDPI, vol. 15(7), pages 1-16, July.
    4. 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.
    5. Julien Combe & Victor Hiller & Olivier Tercieux & Benoît Audry & Jules Baudet & Géraldine Malaquin & François Kerbaul & Corinne Antoine & Marie-Alice Macher & Christian Jacquelinet & Olivier Bastien &, 2022. "Perspectives for future development of the kidney paired donation programme in France [Perspectives pour une évolution du programme de don croisé de reins en France]," Post-Print hal-03843902, HAL.
    6. 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.
    7. Carvalho, Margarida & Lodi, Andrea & Pedroso, João.P., 2022. "Computing equilibria for integer programming games," European Journal of Operational Research, Elsevier, vol. 303(3), pages 1057-1070.
    8. 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.
    9. Radu-Stefan Mincu & Péter Biró & Márton Gyetvai & Alexandru Popa & Utkarsh Verma, 2021. "IP solutions for international kidney exchange programmes," 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 403-423, June.
    10. 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.
    11. Kristiaan M. Glorie & J. Joris van de Klundert & Albert P. M. Wagelmans, 2014. "Kidney Exchange with Long Chains: An Efficient Pricing Algorithm for Clearing Barter Exchanges with Branch-and-Price," Manufacturing & Service Operations Management, INFORMS, vol. 16(4), pages 498-512, October.
    12. 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.
    13. 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.
    14. Mehdi Zeynivand & Mehdi Najafi & Mohammad Modarres Yazdi, 2023. "A Recourse Policy to Improve Number of Successful Transplants in Uncertain Kidney Exchange Programs," Journal of Optimization Theory and Applications, Springer, vol. 197(2), pages 476-507, May.
    15. Jorgen Kratz, 2019. "Triage in Kidney Exchange," Discussion Papers 19/04, Department of Economics, University of York.
    16. Klimentova, Xenia & Viana, Ana & Pedroso, João Pedro & Santos, Nicolau, 2021. "Fairness models for multi-agent kidney exchange programmes," Omega, Elsevier, vol. 102(C).
    17. Glorie, K.M. & Wagelmans, A.P.M. & van de Klundert, J.J., 2012. "Iterative branch-and-price for hierarchical multi-criteria kidney exchange," Econometric Institute Research Papers EI 2012-11, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.

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