IBOI JUDE

This study focuses on the mathematical modeling of automation systems and their application in healthcare, transportation, and energy. Automation, first introduced by George Devol in the 1950s through his invention of the industrial robot Unimate, allows machines to perform tasks automatically without human effort. The aim of this study is to show how mathematical models can be used to represent and control automated processes. Mathematical models were developed for patient temperature control, traffic flow analysis, and solar energy management. The results show that modeling improves the efficiency, accuracy, and reliability of automation systems. Automation supported by mathematics reduces human error, saves time, and enhances decision making. This research proves that mathematical modeling is the foundation of automation technology. It also contributes to national growth through better healthcare, transportation, and energy systems. Overall, automation driven by mathematics supports innovation and technological advancement in society