Mathematical model to manage the inventory of the blood bank of a hospital center
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 th...
| Main Authors: | , |
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| Format: | Online |
| Language: | spa |
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Universidad Pedagógica y Tecnológica de Colombia - UPTC
2018
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| Subjects: | |
| Online Access: | https://revistas.uptc.edu.co/index.php/ingenieria_sogamoso/article/view/11853 |
| _version_ | 1801706689306558464 |
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| author | Arboleda Zúñiga, Jairo Salcedo Moncada, Bryan Fernando |
| author_facet | Arboleda Zúñiga, Jairo Salcedo Moncada, Bryan Fernando |
| author_sort | Arboleda Zúñiga, Jairo |
| collection | OJS |
| description | 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. |
| format | Online |
| id | oai:oai.revistas.uptc.edu.co:article-11853 |
| institution | Revista Ingeniería, Investigación y Desarrollo |
| language | spa |
| publishDate | 2018 |
| publisher | Universidad Pedagógica y Tecnológica de Colombia - UPTC |
| record_format | ojs |
| spelling | oai:oai.revistas.uptc.edu.co:article-118532021-08-03T19:39:24Z Mathematical model to manage the inventory of the blood bank of a hospital center Modelo matemático para administrar el inventario del banco de sangre de un centro hospitalario Arboleda Zúñiga, Jairo Salcedo Moncada, Bryan Fernando Blood supply chain Control of blood inventories Mathematical model Cadena de suministro de sangre CaControl de inventarios de sangre Modelamiento matemático 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. En el presente artículo se desarrolla un modelo matemático para la planeación y el control del inventario de glóbulos rojos en el banco de sangre de un centro hospitalario de nivel III ubicado en la ciudad de Santiago de Cali, este modelo es un soporte para la toma de decisiones, que permite brindar un nivel adecuado de servicio a los usuarios, reduciendo los costos de operación incurridos en el vencimiento de las unidades sanguíneas y en la adquisición a proveedores externos, contribuyendo a solucionar la problemática presente en el Valle del Cauca y algunas regiones de Colombia, donde los bancos de sangre se encuentran desabastecidos de unidades sanguíneas. Inicialmente se caracteriza el comportamiento de la demanda de los glóbulos rojos; posteriormente, se realiza la construcción del modelo matemático, basado en programación lineal por metas donde se utilizan variables aleatorias para considerar la caducidad y sustitución por compatibilidad de las unidades sanguíneas y se da un tratamiento de restricciones flexibles a los objetivos, donde cada uno de estos tiene una penalización para agotados, obsoletos y adquisiciones externas de unidades sanguíneas. Se logra correr el modelo de 8087 variables a través de modelado algebraico AMPL, obteniendo resultados específicos para cada grupo sanguíneo. La operatividad y resultados del modelo fueron verificados con alto grado de confiabilidada través de la simulación discreta donde se recrearon varios escenarios. En conclusión, este modelo se constituye como una herramienta formal y estructurada para la planeación y control de la cadena de abastecimiento de sangre de otros centros hospitalarios. Universidad Pedagógica y Tecnológica de Colombia - UPTC 2018-07-01 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion application/pdf https://revistas.uptc.edu.co/index.php/ingenieria_sogamoso/article/view/11853 10.19053/1900771X.v18.n2.2018.11853 Ingeniería Investigación y Desarrollo; Vol. 18 No. 2 (2018): Ingeniería, Investigación y Desarrollo; 5 -14 Ingeniería Investigación y Desarrollo; Vol. 18 Núm. 2 (2018): Julio - Diciembre; 5 -14 2422-4324 1900-771X spa https://revistas.uptc.edu.co/index.php/ingenieria_sogamoso/article/view/11853/9740 |
| spellingShingle | Blood supply chain Control of blood inventories Mathematical model Cadena de suministro de sangre CaControl de inventarios de sangre Modelamiento matemático Arboleda Zúñiga, Jairo Salcedo Moncada, Bryan Fernando Mathematical model to manage the inventory of the blood bank of a hospital center |
| title | Mathematical model to manage the inventory of the blood bank of a hospital center |
| title_alt | Modelo matemático para administrar el inventario del banco de sangre de un centro hospitalario |
| title_full | Mathematical model to manage the inventory of the blood bank of a hospital center |
| title_fullStr | Mathematical model to manage the inventory of the blood bank of a hospital center |
| title_full_unstemmed | Mathematical model to manage the inventory of the blood bank of a hospital center |
| title_short | Mathematical model to manage the inventory of the blood bank of a hospital center |
| title_sort | mathematical model to manage the inventory of the blood bank of a hospital center |
| topic | Blood supply chain Control of blood inventories Mathematical model Cadena de suministro de sangre CaControl de inventarios de sangre Modelamiento matemático |
| topic_facet | Blood supply chain Control of blood inventories Mathematical model Cadena de suministro de sangre CaControl de inventarios de sangre Modelamiento matemático |
| url | https://revistas.uptc.edu.co/index.php/ingenieria_sogamoso/article/view/11853 |
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