The Role of Mathematical Modeling in Teaching Subject “Optimization Methods” in Computer Science Specialties

The significant role of mathematical modeling in teaching the course “Optimization Methods” within the Computer Science specialization is substantiated. It is emphasized that mathematical modeling is one of the primary tools for studying systems. Therefore, in order to determine ways to increase efficiency in managing various dynamic and economic systems, it is first necessary to construct a mathematical model of the problem at hand. The use or development of software packages for solving such problems is directly related to this modeling stage. From both practical and efficiency perspectives, it is considered essential to examine optimization problems. Taking this into account, optimization problems from various fields are analyzed, their mathematical models are formulated, and solutions are obtained accordingly. The considered problems cover mathematical, physical, and economic domains. To obtain an approximate solution to the problem of efficient reservoir design, a computational program was developed in C#.