Impact Of Additional Donors in Lung Exchange
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In this thesis, we mainly focus on lung exchange. There are significant differences between lung and kidney exchanges. While in kidney exchange patients come with a single donor, lung exchange often requires two donors. Incompatible patient-donor-donor triples can exchange donor lungs with other triples.We consider a model in which some patients bring three donors; one is compatible and two are incompatible with themselves. We design a two stage mechanism to show that bringing additional donor to the exchange pool will improve effi- ciency of the matching system through increasing number of patients that can be matched. Additionally, we provide a necessary condition that shows when allowing additional donors can also reduce the number of necessary transplant teams to run the exchange sequence, and therefore increase,what we call, implementational efficiency.