A NEW LOOK AT ORGAN TRANSPLANTATION MODELS AND DOUBLE MATCHING QUEUES

作者：Boxma Onno J^*; David Israel; Perry David; Stadje Wolfgang

来源：Probability in the Engineering and Informational Sciences, 2011, 25(2): 135-155.

DOI：10.1017/S0269964810000318

In this paper we propose a prototype model for the problem of managing waiting lists for organ transplantations. Our model captures the double-queue nature of the problem: there is a queue of patients, but also a queue of organs. Both may suffer from "impatience": the health of a patient may deteriorate, and organs cannot be preserved longer than a certain amount of time. Using advanced tools from queueing theory, we derive explicit results for key performance criteria: the rate of unsatisfied demands and of organ outdatings, the steady-state distribution of the number of organs on the shelf, the waiting time of a patient, and the long-run fraction of time during which the shelf is empty of organs.

• 出版日期2011