CONSTRUCTION OF A MATHEMATICAL MODEL BASED ON A GENETIC ALGORITHM FOR AN APTITUDE PROGRAM IN HIGH SCHOOL STUDENT OPTIMIZATION

CONSTRUÇÃO DE MODELO MATEMÁTICO BASEADO NO ALGORITMO GENÉTICO PARA OTIMIZAÇÃO DE UM PROGRAMA DE APTIDÃO EM ESTUDANTES DO ENSINO MEDIO

CONSTRUCCIÓN DE UN MODELO MATEMÁTICO BASADO EN UN ALGORITMO GENÉTICO PARA LA OPTIMIZACIÓN DE UN PROGRAMA DE APTITUDES EN ESTUDIANTES DE SECUNDARIA

ABSTRACT

Introduction:

The genetic algorithm is one of the essential theoretical mathematical models for simulating biological development. It is widely used in many fields such as engineering, medicine, and economics.

Objective:

Use the genetic algorithm as a mathematical model basis for optimization in the high school students’ aptitude program.

Methods:

The selection method by competition is adopted to elect the random crossover of male crossover probability with high similarity to generate a new population. A genetic algorithm was proposed to adjust the crossover probability and dynamic mutation according to fitness, aiming to solve the problem of dynamic changes. A comparative analysis is performed between the nonlinear differential equations and the Levenberg–Marquardt method algorithm.

Results:

The algorithm improvement was obtained after analyzing the operation process and structuring of the traditional genetic algorithm; the mathematical model application revealed improvement in the motion accuracy model established by the genetic algorithm.

Conclusion:

The physical enhancement optimization scheme was tested and verified by a genetic algorithm and proves the research results hold theoretical feasibility. Evidence Level II; Therapeutic Studies – Investigating the results.

Keywords:
Fitness; Process Optimization; Students