Application of an Optimization Model in the Aggregate Production Planning of a Textile Industry

Abstract

The objective of the research was to develop a model to optimize resources in the aggregate planning of production in a Spinning Textile company through mixed linear programming, the specific objectives being: Determine the optimal combination of resources for the aggregate plan of the company and estimate the cost of the optimal plan and aggregate planning. A mathematical model was developed to optimize production resources, including 48 restrictions and 72 variables. The optimal scheduling policy determines a mixed strategy of hiring and/or firing workers, producing stock to cover higher demands and/or incurring a production deficit, considering the optimization of the organization's resources and the execution of the plan. production aggregate at least cost. The total cost of the aggregate plan amounts to US $ 6 088 823, made up of: US $ 5 663 774 in raw material and $425 049 of the optimal plan; likewise, the costs associated with it are divided into: US $42 042 to maintain inventory, $390 to hire, $2 304 to fire, $374 681 annual payroll and $5 632 use of overtime.