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.
|Number of pages||21|
|Journal||Probability in the Engineering and Informational Sciences|
|State||Published - Apr 2011|
Bibliographical noteFunding Information:
The research of O. J. Boxma was done within the framework of the BRICKS project. D. Perry gratefully acknowledges a visitor grant from the Netherlands Organisation for Scientific Research NWO. W. Stadje was supported by the Deutsche Forschungsgemeinschaft.
ASJC Scopus subject areas
- Statistics and Probability
- Statistics, Probability and Uncertainty
- Management Science and Operations Research
- Industrial and Manufacturing Engineering