Optimization of Production Scheduling on the Binadeira: Mathematical Model for Spindle Allocation

This study addresses the production scheduling on a binadeira machine, used in the manufacturing of tangled yarn in the textile industry, through the optimization of 160 available spindles over a 31-day period. A Mixed-Integer Linear Programming (MILP) mathematical model was developed to minimize the number of changeovers (setups) among seven distinct products, considering constraints related to capacity, demand, and deadlines. The methodology involved implementing the model in Python using the DOcplex library and the IBM ILOG CPLEX solver. The results showed that the model fully met the demand with only four changeovers, maintaining 100\% spindle utilization throughout the period. It is concluded that the model is efficient, accurately represents the real dynamics of production, and has potential for application in similar industrial contexts, contributing to cost reduction and greater stability in production scheduling.