Impact of Mathematical Models in IT System Design and Optimization

This research investigates the crucial role of mathematical models in designing and optimizing modern IT systems. The paper explores how mathematical tools simplify complex systems, enabling efficient design and improved understanding. The impact of mathematical models extends beyond initial design. The research emphasizes the importance of maintaining these models throughout a system's life cycle to ensure ongoing optimization. Fuzzy Logic Controllers and Coverage Path Planning (CPP) algorithms are highlighted as key examples of how mathematical models are utilized in IT system design, particularly for robotic guided vehicles. The research focuses on real-world applications of CPP and the role mathematical models play in finding optimal solutions. This study aims to benefit professionals in robotics research, logistics, and process automation. It explores how mathematical models can contribute to overcoming challenges in modern industries, such as increased production efficiency and reduced costs.