A new look at organ transplantation models and double matching queues

Onno J. Boxma; Israel David; David Perry; Wolfgang Stadje

doi:10.1017/S0269964810000318

A new look at organ transplantation models and double matching queues

Onno J. Boxma, Israel David, David Perry, Wolfgang Stadje

Department of Statistics

Research output: Contribution to journal › Article › peer-review

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 language	English
Pages (from-to)	135-155
Number of pages	21
Journal	Probability in the Engineering and Informational Sciences
Volume	25
Issue number	2
DOIs	https://doi.org/10.1017/S0269964810000318
State	Published - Apr 2011

Bibliographical note

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.

ASJC Scopus subject areas

Statistics and Probability
Statistics, Probability and Uncertainty
Management Science and Operations Research
Industrial and Manufacturing Engineering

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10.1017/S0269964810000318

Cite this

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A new look at organ transplantation models and double matching queues

Abstract

Bibliographical note

ASJC Scopus subject areas

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