Kidney Exchange: Algorithms and Incentives
summary
Fifteen years of kidney exchange evolution: algorithmic models move from two-way matchings to non-simultaneous chains because logistics and high-sensitization make short cycles insufficient; computational work uses integer programming and faces CPLEX memory problems for intersecting chains; operations fixes include centralized blood testing, threshold acceptances and publishing multiple optimal offers, raising offer-to-transplant yield from ~15% to about 50% offer acceptance; chains reach extreme cases (a 60-person chain filmed), and exchanges now supply roughly 10% of US living-donor transplants.
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chapters (35)
- 0:00Introduction
- 2:37Journals
- 3:32Shapley Scarf
- 4:23Top Trading Cycles
- 7:05Preferences
- 8:59Housing
- 9:50Transplants
- 10:14Waiting list
- 11:47Trading cycles
- 13:25Living vs deceased donors
- 13:56Logistical problems
- 16:29Twoway exchanges
- 17:05Greedy algorithms
- 17:59Results of blood tests
- 20:44Compatibility
- 25:48Chains
- 26:38Nondirected donors
- 26:57Chain of transplants
- 28:06After a maximal exchange
- 29:04The game has changed
- 29:46Directors of transplant centers
- 29:57Logistical reasons
- 31:06Patient sensitivity
- 31:45Compatibility graph
- 33:27Cycle size
- 34:12Non simultaneous chains
- 35:56Computational notes
- 36:57Column generating methods
- 37:23Operational changes
- 40:03Medical rejections
- 42:55Optimal solutions
- 44:04Long chains
- 47:07Methodist Hospital
- 49:52Random Graphs
- 53:58Gary Hill
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