Construcción de un modelo matemático basado en programación lineal y lógica difusa para predicción de tiempos en industrias de ensamble de bicicletas

Abstract

In the operational context, the assembly industries have a degree of uncertainty when recognizing problems due to operational resources and inefficient production control. This is why, through technological progress, the use of fuzzy logic can be considered in programs that allow uncertainty in decision-making to be addressed; in this context, fuzzy logic constitutes an approach for modeling variables. Focusing on the bicycle assembly industry and experimental data, the article presents in the first instance a linear programming model to obtain maximum times and minimum of each bicycle model. The minimization of the objective function is carried out through the Microsoft Excel developer Solver, and its formulation involves the identification of variables, restrictions, constant parameters, working conditions and production rates. The times resolved in the linear programming model enter as variables in the fuzzy logic model using the Toolbox application of MatLab, resulting in a standard time. The study allows an identification of the current state of the production process in order to obtain the maximum benefit using operational resources and working conditions. In addition, the fuzzy logic model allows for better decision making through Mamdani rules that leads to uncertainty control in production planning.