Presenting a stochastic multi choice goal programming model for reducing wastages and shortages of blood products at hospitals

Document Type : Research Paper


1 Department of Industrial Engineering, Faculty of Industrial and Mechanical Engineering, Islamic Azad University, Qazvin Branch, Qazvin, Iran

2 Assistant professor of Immunology Head of Blood Transfusion Research Center High institute for Research and Education in Transfusion Medicine, Tehran, Iran

3 sharif university


One of the most fundamental components of healthcare system on each country is blood supply chain management. This chain is comprised of two significant components including collecting donor’ bloods and supplying blood’s products. The main purpose of this paper is to concentrate on supplying blood products and present a novel constrained bi-objective mathematical model for a two-echelon blood supply chain network (BSCN) in order to 1) minimize products’ waste and shortage costs in hospitals and 2) to minimize the maximum unsatisfied demand of different products among hospital demands supplied by blood transfusion centers. Some techniques are used to linearise the model’s nonlinear terms and decrease presented model’s complexity. Then, a multi-choice goal programming (MCGP) technique is used to convert bi-objective model into a single objective one. The model is solved on GAMS software under 3 different scenarios and 18 time periods in real-world BSCN. Computational results showed that hospitals are tended in accepting products’ holding and waste costs to satisfy demands of patients who are highly need for receiving blood products.


Main Subjects

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