Version 1
: Received: 9 August 2023 / Approved: 9 August 2023 / Online: 10 August 2023 (07:31:31 CEST)
How to cite:
Panahi, A.; Afshar Sedigh, A.H.; Shamsi Gamchi, N. An Integrated Queueing Model for Blood Delivery in Disaster Management. Preprints2023, 2023080798. https://doi.org/10.20944/preprints202308.0798.v1
Panahi, A.; Afshar Sedigh, A.H.; Shamsi Gamchi, N. An Integrated Queueing Model for Blood Delivery in Disaster Management. Preprints 2023, 2023080798. https://doi.org/10.20944/preprints202308.0798.v1
Panahi, A.; Afshar Sedigh, A.H.; Shamsi Gamchi, N. An Integrated Queueing Model for Blood Delivery in Disaster Management. Preprints2023, 2023080798. https://doi.org/10.20944/preprints202308.0798.v1
APA Style
Panahi, A., Afshar Sedigh, A.H., & Shamsi Gamchi, N. (2023). An Integrated Queueing Model for Blood Delivery in Disaster Management. Preprints. https://doi.org/10.20944/preprints202308.0798.v1
Chicago/Turabian Style
Panahi, A., Amir Hosein Afshar Sedigh and Nafiseh Shamsi Gamchi. 2023 "An Integrated Queueing Model for Blood Delivery in Disaster Management" Preprints. https://doi.org/10.20944/preprints202308.0798.v1
Abstract
The problem of blood delivery has been a critical concern in past decades. However, the unsteady behavior of blood donors, along with the uncertainties associated with demands in a crisis imposes several challenges for resource management. In this research work, we analyze the blood delivery behavior in a crisis modeled by coupled queues of patients and blood sources. Using Markovian modeling and results associated with G-network, we derive two critical probabilities, namely lack of unit of blood (unit of donations) or not having any storage capacity left to accept new donors' blood. We propose a closed-form solution to calculate the optimal blood storage size, and also we suggest sufficient conditions that guarantee the feasibility of the model. Finally, we conduct a sensitivity analysis to investigate the impact of model parameters on storage size and the proportion of time that storage is full.
Computer Science and Mathematics, Applied Mathematics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
