You have a good job now -- don't screw it up.
I just read an interesting article at Ars Technica on the mathematics behind setting up donor chains. The math is actually a variant of the prize-collecting traveling salesman problem, which is NP-hard.
The most common type of donor chain that I hear about is the domino donor chain (Figure 1) – there are other types of chains. The process begins when an altruistic individual steps forward to donate a kidney to a non-specific recipient.
Here is a recent story I saw on Youtube about a donor chain.