A new look at organ transplantation models and double matching queues

O.J. Boxma, I. David, D. Perry, W. Stadje

Research output: Book/ReportReportAcademic

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Abstract

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.
Original languageEnglish
Place of PublicationEindhoven
PublisherEurandom
Number of pages20
Publication statusPublished - 2010

Publication series

NameReport Eurandom
Volume2010013
ISSN (Print)1389-2355

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