Simulation study of educational system response to students' requests considering individual characteristics

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Сивак А. М., Шепіта П. І. № 1 (89) 138-148 Image Image

This article presents the results of developing and implementing a simulation model of an adaptive educational information system capable of dynamically responding to individual requests of students in an inclusive learning environment. The main objective of the study is to propose an approach for analyzing and predicting the behavior of an edu­cational platform during the design phase, taking into account temporal factors, varia­bility, inertia, and conditional response logic. The simulation model is implemented in MATLAB Simulink and is based on an interconnected system of blocks, including request generation, adaptation, filtering, switching, logical control, and output visualization.

The model incorporates individual user characteristics through a variable stochastic signal that reflects cognitive, sensory, and behavioral features of interaction wi­thin a digital educational environment. The article presents a formalized mathematical description of key components of the system’s response: input request signal, adaptive amplification, response saturation, activation logic, and inertial smoothing. Graphs are constructed to depict the system’s dynamic response to varying student requests before and after smoothing is applied, illustrating the impact of random disturbances on in­te­rac­tion stability.

Particular attention is given to the visualization of the individual effect based on variable input components, as well as the aggregated system response simulating the phase-based development of interaction—from initialization to stabilization and reactivation. The experiments were conducted using realistic signal parameters (amplitude, frequency, threshold values, time constraints), which allows the model to be tested in the context of real educational processes.

The obtained results confirm the effectiveness of simulation modeling for the design of next-generation digital educational systems that provide personalized adaptation of learning content in accordance with the individual needs of students. The model is capable of performing prediction, behavioral adaptation, and smoothing of random fluctuations without compromising the essential characteristics of educational interaction. The proposed solution can serve as a foundation for synthesizing intelligent learning environments that incorporate fuzzy logic, multi-agent interaction, and adaptive control mechanisms in inclusive educational settings.

Keywords: simulation modeling; inclusive environment; adaptive system; educational interaction; Simulink; individual needs; Matlab; timing conditions; process modeling.

doi: 10.32403/0554-4866-2025-1-89-138-148


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