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A new look at organ transplantation models and double matching queues

By OJ Onno Boxma, I David, D David Perry and W Wolfgang Stadje


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

Publisher: Eurandom
Year: 2010
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Provided by: Repository TU/e
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