Operation Frames and Clubs in Kidney Exchange

A kidney exchange is a centrally-administered barter market where patients swap their willing yet incompatible donors. Modern kidney exchanges use 2-cycles, 3-cycles, and chains initiated by non-directed donors (altruists who are willing to give a kidney to anyone) as the means for swapping. We propose significant generalizations to kidney exchange. We allow more than one donor to donate in exchange for their desired patient receiving a kidney. We also allow for the possibility of a donor willing to donate if any of a number of patients receive kidneys. Furthermore, we combine these notions and generalize them. The generalization is to exchange among organ clubs, where a club is willing to donate organs outside the club if and only if the club receives organs from outside the club according to given specifications. We prove that unlike in the standard model, the uncapped clearing problem is NP-complete. We also present the notion of operation frames that can be used to sequence the operations across batches, and present integer programming formulations for the market clearing problems for these new types of organ exchanges. Experiments show that in the single-donation setting, operation frames improve planning by 34%--51%. Allowing up to two donors to donate in exchange for one kidney donated to their designated patient yields a further increase in social welfare.Comment: Published at IJCAI-1

Focal Spot, Spring 2001

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Barnes Hospital Bulletin

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Barnes Hospital Bulletin

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Barnes Hospital Bulletin

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Spartan Daily, October 25, 1949

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Spartan Daily, October 25, 1949

Volume 38, Issue 14https://scholarworks.sjsu.edu/spartandaily/11281/thumbnail.jp

Spartan Daily, January 17, 1936

Volume 24, Issue 62https://scholarworks.sjsu.edu/spartandaily/2390/thumbnail.jp