Markov decision models for the optimal maintenance of a production unit with an upstream buffer
Computers and Operations Research
Operations Research Letters
A Broader View of Designing the Liver Allocation System
Operations Research
Optimization of Prostate Biopsy Referral Decisions
Manufacturing & Service Operations Management
Proceedings of the Winter Simulation Conference
A comparison of decision-maker perspectives for optimal cholesterol treatment
IBM Journal of Research and Development
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Living donors are a significant and increasing source of livers for transplantation, mainly because of the insufficient supply of cadaveric organs. We consider the problem of optimally timing a living-donor liver transplant to maximize the patient's total reward, such as quality-adjusted life expectancy. We formulate a Markov decision process (MDP) model in which the state of the process is described by patient health. We derive structural properties of the MDP model, including a set of intuitive conditions that ensure the existence of a control-limit optimal policy. We use clinical data in our computational experiments, which show that the optimal policy is typically of control-limit type.