A max-plus algebra approach to model laboratory experiences in blended control engineering education

Internet-based control engineering education combines traditional methods with modern technology, creating a dynamic and accessible learning environment. Both online and traditional approaches have unique advantages and challenges, with the choice depending on factors like student preferences, geographic location, and available resources. A blended approach, integrating online and in-person activities, leverages the strengths of both methods to offer a comprehensive and flexible learning experience. In this context, managing laboratory resources and activities scheduling may be challenging. For this reason, this paper introduces a novel approach to modelling these activities and resources through the mathematical framework of max-plus algebra. This algebra can improve the use of finite resources, meeting educational goals without concurrency issues. Moreover, the resolution of a model matching problem shows how lessons can be structured to meet time constraints and maximize flexibility, accessibility, and resource efficiency, thus preparing students effectively for the field.