Mathematical model to manage the inventory of the blood bank of a hospital center

Abstract

In this article, a mathematical model is developed for the planning and control of the red blood cells inventory in the blood bank of a hospital center (3rd level) located in Cali, Colombia. This model pretends to provide an adequate level of service to users, reducing operating costs incurred in the expiration of blood units and in procurement from external suppliers, contributing to solve the problems present in El Valle del Cauca and some regions of Colombia, with lacks of blood banks. At first place, the demand of red blood cells is characterized. Then, the construction of the mathematical model is made, based on linear programming by goals where random variables are used to consider the expiration and substitution for compatibility of the blood units and a treatment of flexible restrictions is given to the objectives. Each objective demands penalty for being spent, obsolete and external purchases of blood units. It was possible to use the model of 8087 variables through AMPL algebraic modeling, obtaining specific results for each blood group. The operability and results of the model were verified with a high degree of reliability through discrete simulation where several scenarios were recreated. In conclusion, this model is a formal and structured tool for the planning and control of the blood supply linked to other hospital centers.

Keywords

Blood supply chain, Control of blood inventories, Mathematical model

Author Biography

Jairo Arboleda Zúñiga

Grupo de Investigación en Sistemas

Bryan Fernando Salcedo Moncada

Grupo de Investigación en Sistemas Aplicado a la Industria (GISAI)

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