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

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  • Glorie, K.M.
  • Wagelmans, A.P.M.
  • Klundert, J.J.
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    Abstract

    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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    Bibliographic Info

    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

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    Related research

    Keywords: branch-and-price algorithm; donor patients; kidney transplantation;

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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, American Economic Association, vol. 97(3), pages 828-851, June.
    2. Itai Ashlagi & Alvin E. Roth, 2012. "New Challenges in Multihospital Kidney Exchange," American Economic Review, American Economic Association, American Economic Association, vol. 102(3), pages 354-59, May.
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