Designing A Mathematical Model For Solving The Blood Units Management Problem In The Case Of Hospital
Blood is one of the most critical perishable substances in nature, closely related to humans’ lives. The most important reasons for the importance of blood are their human origin and that they cannot be produced artificially. Thus, given the constant need that always exists for blood and blood products, there is a need for blood inventory management as a vital part of blood supply chain, and the impossibility of responding to the demand of this product has a high risk that may lead to the death of a human. On the other hand, the increase in the blood supply may lead to the loss of blood products and high costs. Hence, the purpose of this study is to present a mathematical programming model for determining the optimal policies of periodic review for managing blood supplies available to minimize the operational cost, shortage cost and waste cost of blood due to blood spoilage and transport, where the perishability and uncertainty of demand are considered. To show the potential benefits of using the proposed model and determining the optimal blood-inventory control policies, a case study was presented, considering actual data showing the daily demand for blood, which data analyzed with meta-heuristic algorithms.