Optimizing the assignment of teachers to classes in a higher education via integer programming

This work addresses the Teacher Assignment Problem (TAP), which involves assigning classes to teachers with the aim of maximizing pre-defined quantitative criteria. We propose a mixed integer linear programming model for the TAP, implemented at a Higher Education Institution (HEI). The model proved capable of generating better solutions than those produced by manual approaches, particularly in terms of teacher satisfaction. Furthermore, we emphasize the model's ability to generate feasible solutions within a few seconds, in contrast with solutions obtained manually, which require extensive hours of work and often fail to meet all operational restrictions.