Designing a mathematical model for blood products assignment in a stochastic environment (Case Study: Yazd Blood Transfusion Organization)

Blood and its products, is a valuable asset to protect the patients’ lives, and in some cases, are the only vital and sanative medicine for the patients so it should be avoided waste and non-optimal consumption. The assignment of blood and its products to hospitals is one of assignment problems, in which finding the optimal solution can lead to a reduction in mortality and waste of expenditure. In this research, a model for the problem of assignment of blood products in stochastic state has been offered and executed in blood transfusion organization in Yazd province. This study focuses on platelet and red blood cell products, due to their higher demand and their corrosively. The goal of the model is to minimize the preparation, deficiency and waste cost of blood products, while considering the constraints of the problem. The proposed model was coded and solved by ILOG CPLEX 12.6.1 in Microsoft Visual Studio environment.