Application of Particle Swarm Optimization Algorithm in Solving Mathematical Modeling Optimal Problems

Abstract

In today's society with the rapid development of science and technology, the status of mathematics education has been significantly improved at home and abroad. With the gradual introduction of mathematical modeling into the classrooms of Chinese universities, it has become one of the indispensable qualities of students. However, due to the lack of application of mathematics education in our country, the form of mathematical modeling teaching is still not optimistic. This paper aims to solve and analyze the optimal problem of mathematical modeling. Among different mathematical modeling problems, many problems can be solved by establishing optimization models. to solve the analysis and get the optimal solution in the optimization model. Based on the research on the optimization mechanism of particle optimization algorithm, this paper discusses the solution methods of mathematical modeling optimal problems and their functional characteristics. Although there is no guarantee that the optimal solution can be obtained, when the scale of the problem is relatively large and the solving task is relatively complex, A satisfactory solution to the problem can often be found within a certain period of time. The cultivation of practical ability of mathematical modeling is one of the core qualities that college students should master. It can not only improve students' ability to express objective things through mathematical models, but also cultivate students' innovative ability and teamwork ability. The ratio of mathematical modeling problems to the optimal solution path under the optimization algorithm has reached more than 90%. With the increase of the number of solutions, the ratio of the optimal solution path changes in the opposite direction. The ratio of optimal solution is 99.23%.