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Queue Modeling of Patients in Waiting list of Kidney Transplantation

Amini, Fatemeh | 2018

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 51016 (01)
  4. University: Sharif University of Technology
  5. Department: Industrial Engineering
  6. Advisor(s): Modarres Yazdi, Mohammad
  7. Abstract:
  8. As the number of patients waiting for receiving kidney transplantation increases all over the world, the average waiting time for a patient in queue rises too, and consequently, the rate of death goes beyond the accepted level. Also, unbalanced numbers of donors and patients with same blood type make the problem bolder. The aim of this research is to design a queuing model in which kidney could be transplanted from deceased donors to patients with different but compatible blood type (Cross-Transplantation) in order to make the average waiting time for patients with different blood type closer to each other. In other words, the transplant system is supposed to make a decision whether to assign the kidney to patient with same blood type or different blood type. Based on medical tests, O-B and A-AB are the most compatible blood types, so the model is designed for O-B system and can be applied for A-AB system by changing its parameters. Two different approaches with different strategies are mentioned for implementing this model. The first one describes the cross-transplantation rate as a binary variable that depends on patients’ health condition, difference between number of patients in both queue, cost and benefit analysis, and etc. The second one describes it as probability that shows the optimal percentage of cross-transplantation in order to minimize the cost of transplantation centers. As a result of conducting this research, it is recommended for large centers with unpredictable demand of patients with each blood type, to implement the 0-1 integer model. On the other hand, for small centers with stationary demand, the probability model works better. In the end, both solution approaches are demonstrated using real data from a transplant center in Canada in 2014
  9. Keywords:
  10. Waiting Time ; Kidney Diseases ; Queueing System ; Kidney Allocation System ; Allocation Rate ; Kidney Transplantation ; Compatible Blood Type

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