A Multi-Objective Mathematical Model for Organ Allocation to Patients in Iran Organ Transplantation Network

Document Type : Original Article


1 MA, Iran University of Science and Technology.

2 Assistant Professor, Iran University of Science and Technology.

3 Associate Professor, Iran University of Science and Technology.


One of the most vital subsets of healthcare systems is organ transplantation, which has become a popular and successful cure for many fatal diseases. Efficient and fair allocation of organs is one of the most sophisticated decisions in operational planning level. Accordingly, the present study proposes a multi-period organ allocation model which considers different health levels of patient in each period. The proposed model is a multi-objective mathematical programming model which maximizes survival of patients with urgent medical need. This model also minimizes the transportation cost to make a tradeoff between efficiency and equity. In order to solve the model, a priority preemptive fuzzy goal programming approach is implemented to find preferred compromise solutions. In order to investigate the applicability and validity of the proposed model, some numerical examples are taken from a real case study in Iran’s organ transplantation network.


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