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Iterative branch-and-price for hierarchical multi-criteria kidney exchange

  • Glorie, K.M.
  • Wagelmans, A.P.M.
  • van de Klundert, J.J.
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    Kidney exchange is an increasing modality for transplanting end stage renal disease patients with an incompatible living donor. Typically, the aim is to find an allocation of donors to patients that is optimal with respect to multiple hierarchical criteria. This paper presents an iterative branch-and-price algorithm for clearing such multi-criteria kidney exchanges with large patient-donor pools. Using a polynomial pricing procedure, the algorithm accomodates not only for cycles of incompatible pairs but also for long chains initiated by unspecified donors. Such chains are increasingly common and important in clinical practice, but, as we show, cannot be efficiently dealt with using existing depth-first pricing procedures. Our algorithm also supports individual rationality constraints required for multi-center coordination. Using Dutch kidney exchange data, we show the effect of long term multi-criteria optimization with our algorithm.

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    File URL: http://repub.eur.nl/pub/38649/EI2012-11.pdf
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    Paper provided by Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute in its series Econometric Institute Research Papers with number EI 2012-11.

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    Date of creation: 17 Dec 2012
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    Handle: RePEc:ems:eureir:38649
    Contact details of provider: Postal: Postbus 1738, 3000 DR Rotterdam
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    Web page: http://www.eur.nl/ese

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    1. Ünver, M. Utku & Sönmez, Tayfun & Roth, Alvin, 2007. "Efficient Kidney Exchange: Coincidence of Wants in a Markets with Compatibility-Based Preferences," Scholarly Articles 2562809, Harvard University Department of Economics.
    2. Roth, Alvin E. & Sonmez, Tayfun & Unver, Utku & Delmonico, Francis & Saidman, Susan L., 2014. "Utilizing List Exchange and Non-directed Donation through “Chain” Paired Kidney Donations," MPRA Paper 58246, University Library of Munich, Germany.
    3. Itai Ashlagi & Alvin E. Roth, 2012. "New Challenges in Multihospital Kidney Exchange," American Economic Review, American Economic Association, vol. 102(3), pages 354-59, May.
    4. 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.
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