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...

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Autores:
Tipo de recurso:
Fecha de publicación:
2018
Institución:
Universidad Pedagógica y Tecnológica de Colombia
Repositorio:
RiUPTC: Repositorio Institucional UPTC
Idioma:
spa
OAI Identifier:
oai:repositorio.uptc.edu.co:001/12299
Acceso en línea:
https://revistas.uptc.edu.co/index.php/ingenieria_sogamoso/article/view/11853
https://repositorio.uptc.edu.co/handle/001/12299
Palabra clave:
Blood supply chain
Control of blood inventories
Mathematical model
Cadena de suministro de sangre
CaControl de inventarios de sangre
Modelamiento matemático
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License
http://purl.org/coar/access_right/c_abf3
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network_name_str RiUPTC: Repositorio Institucional UPTC
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dc.title.en-US.fl_str_mv Mathematical model to manage the inventory of the blood bank of a hospital center
dc.title.es-ES.fl_str_mv Modelo matemático para administrar el inventario del banco de sangre de un centro hospitalario
title Mathematical model to manage the inventory of the blood bank of a hospital center
spellingShingle Mathematical model to manage the inventory of the blood bank of a hospital center
Blood supply chain
Control of blood inventories
Mathematical model
Cadena de suministro de sangre
CaControl de inventarios de sangre
Modelamiento matemático
title_short Mathematical model to manage the inventory of the blood bank of a hospital center
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_sort Mathematical model to manage the inventory of the blood bank of a hospital center
dc.subject.en-US.fl_str_mv Blood supply chain
Control of blood inventories
Mathematical model
topic Blood supply chain
Control of blood inventories
Mathematical model
Cadena de suministro de sangre
CaControl de inventarios de sangre
Modelamiento matemático
dc.subject.es-ES.fl_str_mv Cadena de suministro de sangre
CaControl de inventarios de sangre
Modelamiento matemático
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.
publishDate 2018
dc.date.accessioned.none.fl_str_mv 2024-07-05T18:48:01Z
dc.date.available.none.fl_str_mv 2024-07-05T18:48:01Z
dc.date.none.fl_str_mv 2018-07-01
dc.type.none.fl_str_mv info:eu-repo/semantics/article
dc.type.coar.fl_str_mv http://purl.org/coar/resource_type/c_2df8fbb1
dc.type.coarversion.fl_str_mv http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.coarversion.spa.fl_str_mv http://purl.org/coar/version/c_970fb48d4fbd8a86
dc.identifier.none.fl_str_mv https://revistas.uptc.edu.co/index.php/ingenieria_sogamoso/article/view/11853
10.19053/1900771X.v18.n2.2018.11853
dc.identifier.uri.none.fl_str_mv https://repositorio.uptc.edu.co/handle/001/12299
url https://revistas.uptc.edu.co/index.php/ingenieria_sogamoso/article/view/11853
https://repositorio.uptc.edu.co/handle/001/12299
identifier_str_mv 10.19053/1900771X.v18.n2.2018.11853
dc.language.none.fl_str_mv spa
dc.language.iso.none.fl_str_mv spa
language spa
dc.relation.none.fl_str_mv https://revistas.uptc.edu.co/index.php/ingenieria_sogamoso/article/view/11853/9740
dc.rights.coar.fl_str_mv http://purl.org/coar/access_right/c_abf2
dc.rights.coar.spa.fl_str_mv http://purl.org/coar/access_right/c_abf3
rights_invalid_str_mv http://purl.org/coar/access_right/c_abf3
http://purl.org/coar/access_right/c_abf2
dc.format.none.fl_str_mv application/pdf
dc.publisher.es-ES.fl_str_mv Universidad Pedagógica y Tecnológica de Colombia - UPTC
dc.source.en-US.fl_str_mv Ingeniería Investigación y Desarrollo; Vol. 18 No. 2 (2018): Ingeniería, Investigación y Desarrollo; 5 -14
dc.source.es-ES.fl_str_mv Ingeniería Investigación y Desarrollo; Vol. 18 Núm. 2 (2018): Julio - Diciembre; 5 -14
dc.source.none.fl_str_mv 2422-4324
1900-771X
institution Universidad Pedagógica y Tecnológica de Colombia
repository.name.fl_str_mv Repositorio Institucional UPTC
repository.mail.fl_str_mv repositorio.uptc@uptc.edu.co
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spelling 2018-07-012024-07-05T18:48:01Z2024-07-05T18:48:01Zhttps://revistas.uptc.edu.co/index.php/ingenieria_sogamoso/article/view/1185310.19053/1900771X.v18.n2.2018.11853https://repositorio.uptc.edu.co/handle/001/12299In 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.application/pdfspaspaUniversidad Pedagógica y Tecnológica de Colombia - UPTChttps://revistas.uptc.edu.co/index.php/ingenieria_sogamoso/article/view/11853/9740Ingeniería Investigación y Desarrollo; Vol. 18 No. 2 (2018): Ingeniería, Investigación y Desarrollo; 5 -14Ingeniería Investigación y Desarrollo; Vol. 18 Núm. 2 (2018): Julio - Diciembre; 5 -142422-43241900-771XBlood supply chainControl of blood inventoriesMathematical modelCadena de suministro de sangreCaControl de inventarios de sangreModelamiento matemáticoMathematical model to manage the inventory of the blood bank of a hospital centerModelo matemático para administrar el inventario del banco de sangre de un centro hospitalarioinfo:eu-repo/semantics/articlehttp://purl.org/coar/resource_type/c_2df8fbb1http://purl.org/coar/version/c_970fb48d4fbd8a86http://purl.org/coar/version/c_970fb48d4fbd8a85http://purl.org/coar/access_right/c_abf3http://purl.org/coar/access_right/c_abf2Arboleda Zúñiga, JairoSalcedo Moncada, Bryan Fernando001/12299oai:repositorio.uptc.edu.co:001/122992025-07-18 11:25:29.335metadata.onlyhttps://repositorio.uptc.edu.coRepositorio Institucional UPTCrepositorio.uptc@uptc.edu.co