Operations Research
Introduction to queueing theory (2nd ed)
Introduction to queueing theory (2nd ed)
Processor-shared buffers with reneging
Performance Evaluation - Special issue on bandwidth management and congestion control of high-speed networks
Dynamic Allocation of Kidneys to Candidates on the Transplant Waiting List
Operations Research
Theory, Volume 1, Queueing Systems
Theory, Volume 1, Queueing Systems
Double-ended queues with impatience
Computers and Operations Research
A queuing model of time waiting based on kidney transplantation
CCDC'09 Proceedings of the 21st annual international conference on Chinese Control and Decision Conference
Simulation model for extended double-ended queueing
Computers and Industrial Engineering
ASM'10 Proceedings of the 4th international conference on Applied mathematics, simulation, modelling
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Motivated by the problem of organ allocation, we develop a queueing model with reneging that provides a stylistic representation of the transplant waiting list. The model assumes that there are several classes of patients, several classes of organs, and patient reneging due to death. We focus on randomized organ allocation policies and develop closed-form asymptotic expressions for the stationary waiting time, stationary waiting time until transplantation, and fraction of patients who receive transplantation for each patient class. Analysis of these expressions identifies the main factors that underlie the performance of the transplant waiting list and demonstrates that queueing models can prove useful when evaluating the organ allocation system.