Research on Garment Washing Optimization Based on Linear Programming and Iterative Algorithm

This study is dedicated to exploring the optimization strategies for impurity dissolution during garment washing, aiming at minimizing the number of washes and water costs, while ensuring that the clothes are cleaned as expected. The proposed model was evaluated in a series of programming simulation experiments to obtain optimal solutions for several key problems. The study first applies an iterative algorithm to achieve the optimal rationing of the amount of washing and water consumption under specific conditions. Then, the variables were dynamically combined and resolved to deeply analyze the effects of initial solubility, decay coefficient, and initial contamination on the results. Finally, a mathematical model for detergent selection was developed through a linear programming model, which resulted in the optimal selection and lowest cost of different detergents based on the constraints and objective function.