TY - JOUR
T1 - A new look at organ transplantation models and double matching queues
AU - Boxma, Onno J.
AU - David, Israel
AU - Perry, David
AU - Stadje, Wolfgang
N1 - Funding 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.
PY - 2011/1/1
Y1 - 2011/1/1
N2 - 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.
AB - 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.
UR - https://www.scopus.com/pages/publications/82455192678
U2 - 10.1017/S0269964810000318
DO - 10.1017/S0269964810000318
M3 - Article
AN - SCOPUS:82455192678
SN - 0269-9648
VL - 25
SP - 135
EP - 155
JO - Probability in the Engineering and Informational Sciences
JF - Probability in the Engineering and Informational Sciences
IS - 2
ER -