Implementación de un modelo matemático de optimización para la asignación de horarios de clase y recursos tecnológicos mediante Python en un Instituto de Lenguas Extranjeras, periodo 2024-6b.
Academic management in educational institutions before the start of classes is a process that can generate operational inefficiencies, especially in virtual environments with tight planning deadlines. The objective of this study was to implement a mathematical optimization model to automate the assi...
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| Tipo de recurso: | tesis de maestría |
| Estado: | Versión publicada |
| Fecha de publicación: | 2025 |
| País: | Ecuador |
| Institución: | Universidad Nacional de Chimborazo |
| Repositorio: | Repositorio Universidad Nacional de Chimborazo |
| Idioma: | español |
| OAI Identifier: | oai:localhost:51000/15768 |
| Acceso en línea: | http://dspace.unach.edu.ec/handle/51000/15768 |
| Access Level: | acceso abierto |
| Palabra clave: | optimización matemática, Python, modelo secuencial programación lineal entera binaria asignación de recursos. |
| Sumario: | Academic management in educational institutions before the start of classes is a process that can generate operational inefficiencies, especially in virtual environments with tight planning deadlines. The objective of this study was to implement a mathematical optimization model to automate the assignment of predefined class schedules to teachers and technological resources at a Foreign Language Institute for the 2024-6B cycle. The research employed a non-experimental, cross-sectional design. It was conducted with the total population of operational elements of the cycle, including 46 classes, 30 teachers, and their associated technological resources. A mixed approach was adopted, formalizing institutional requirements in a quantitative model with a three stage sequential scheme based on Binary Integer Linear Programming, implemented in Python. Complex operational constraints were addressed, including the prohibition on sharing videoconferencing accounts between contiguous schedules and the limit on simultaneous use per book license. The results demonstrated an optimal allocation that satisfies 100% of the teacher preferences, accurately quantifies the need for four additional videoconferencing licenses, and optimizes the book inventory to include seven of the 11 available types. Planning time is reduced from more than 12 manual hours to approximately 3 hours. It is concluded that the developed model is a robust tool for planning and decision-making. |
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