Unit:
Κατεύθυνση Στατιστική και Επιχειρησιακή ΈρευναLibrary of the School of Science
Author:
Boumpoulis Spyridon-Odyssefs
Supervisors info:
Μπουρνέτας Απόστολος, Καθηγητής, Τμήμα Μαθηματικών, Εθνικό και Καποδιστριακό Πανεπιστήμιο Αθηνών
Original Title:
Στοχαστικά μοντέλα στις μεταμοσχεύσεις οργάνων
Translated title:
Stochastic models in organ transplants
Summary:
Organ transplantations are undoubtedly a vital branch of Medical Science and a developing field in Operational Research. In this thesis, we present some bibliographical references of stochastic models designed in order to describe and manage graft allocation procedures. Moreover, we propose a new model, based on stochastic dynamic programming, in which the service system is represented as a double-ended queue of patients and kidneys. An innovative aspect of this work is the inclusion of the possibility of preserving the kidneys out of the human body for an extended period of time using recent technological breakthroughs. The goal of our analysis is to define the optimal policy of accepting new arriving kidneys, on behalf of a social planner, whose task is to maximize the overall benefit. The determination of this policy is carried out using both theoretical and numerical methods, while useful conclusions on the model properties are drawn through sensitivity analysis for the system parameters. Finally, we outline some interesting research extensions of this thesis, with the aim of creating even more realistic models and making a substantial contribution to improving transplantation systems.
Main subject category:
Science
Keywords:
stochastic, models, transplants
