Proceedings of the Fourteenth ACM Conference on Electronic Commerce 2013
DOI: 10.1145/2492002.2482565
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Kidney exchange in dynamic sparse heterogenous pools

Abstract: Current kidney exchange pools are of moderate size and thin, as they consist of many highly sensitized patients. Creating a thicker pool can be done by waiting for many pairs to arrive. We analyze a simple class of matching algorithms that search periodically for allocations. We find that if only 2-way cycles are conducted, in order to gain a significant amount of matches over the online scenario (matching each time a new incompatible pair joins the pool) the waiting period should be "very long". If 3-way cycl… Show more

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Cited by 28 publications
(17 citation statements)
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“…2. Some recent theoretical work looks at kidney exchange graphs without blood types but with increasing sparsity (in the size of the pool) for highly-sensitized candidates [4,5]. For these experiments, the probability of an incoming edge to a highlysensitized pair is O(1/n).…”
Section: Simulated Results From Random Graphsmentioning
confidence: 99%
See 2 more Smart Citations
“…2. Some recent theoretical work looks at kidney exchange graphs without blood types but with increasing sparsity (in the size of the pool) for highly-sensitized candidates [4,5]. For these experiments, the probability of an incoming edge to a highlysensitized pair is O(1/n).…”
Section: Simulated Results From Random Graphsmentioning
confidence: 99%
“…Both the theoretical and experimental sides of utilitarian dynamic kidney exchange are active and important areas of research [2,5,7,13,27]. Developing accurate models and scalable algorithms that consider the price of fairness in the dynamic setting will be of increasing importance as fielded kidney exchanges move from static to dynamic matching.…”
Section: Conclusion and Future Researchmentioning
confidence: 99%
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“…In the Operations Research and Computer Science literatures, dynamic kidney matching has been extensively studied, see e.g., [Zen02,SZ05,AS09,DPS12]. Perhaps most related to our work is that of Ashlagi, Jaillet, and Manshadi [AJM13] who construct a discrete-time finite-horizon model of dynamic kidney exchange. In their model, one new agent arrives at the pool at each period, but, unlike our model, agents who are in the pool neither perish, nor bear any waiting cost.…”
Section: Related Workmentioning
confidence: 99%
“…That is, because many patients are highly sensitized, they have few in-edges in the resulting compatibility graph, and are consequently included in very few short cycles. As mentioned above, Ashlagi et al (2013b) have further explained analytically the importance of long chains.…”
Section: The Power Of Long Chains Mystery Explainedmentioning
confidence: 85%